• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

  • NCERT Solutions
    • NCERT Solutions for Class 12 English Flamingo and Vistas
    • NCERT Solutions for Class 11 English
    • NCERT Solutions for Class 11 Hindi
    • NCERT Solutions for Class 12 Hindi
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions

NCERT Exemplar Class 6 Maths Solutions Pdf free download was designed by expert teachers from the latest edition of NCERT Exemplar Books to get good marks in board exams.

NCERT Exemplar Class 6 Maths Book PDF Download Chapter 4 Fractions and Decimals Solutions

Multiple Choice Questions (MGQs)

Question 1:
The fraction which is not equal to 4/5 is
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 1
Solution:
(d) For finding the fraction which is not equal to 4/5, we will find the fraction from the option
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 2

Question 2:
The two consecutive integers between which the fraction 5/7 lies are
(a) 5 and 6 (b) 0 and 1
(c) 5 and 7 (d) 6 and 7
Solution:
(b) We know that, if the numerator is less than the denominator, then the value of fraction is less than 1.
Hence, the fraction 5/7 lies between 0 and 1.

Question 3:
When 1/4 is written with denominator as 12, its numerator is
(a) 3 (b) 8 (c) 24 (d) 12
Solution:
(a) Given, fraction = 1/4
In order to make the denominator as 12, we will multiply the denominator by 3 and we will also multiply the numerator by 3, to make it an equivalent fraction.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 3
Hence, when denominator of 1/4 is 12, then its numerator will be 3.

Question 4:
Which of the following is not in the lowest form?
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 4
Solution:
(b) We know that, a fraction is in its lowest form, if the HCF of their numerator and denominator is 1. Now,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 5

Question 5:
If 5/8 = 20/P then the value of p is
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 6

Question 6: Which of the following is not equal to the others?
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 7
Solution:
(c) In order to find which of the given fraction is not equal to others, we will convert each of the given fraction in its lowest form. Now,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 8

Question 7:
Which of the following fraction is the greatest?
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 9
Solution:
(b) In order to find the greatest fraction among the above given fractions, we will convert all the fractions to an equivalent fraction with denominator equal to the LCM of their denominator.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 10

Question 8:
Which of the following fraction is the smallest?
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 11
Solution:
(c) Since, for comparing fractions with same denominators, fraction with smaller numerator is
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 12

Question 9:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 13
Solution:
(a) Since, fractions with same denominators can be added by simply adding the numerators and writing the common denominator as it is
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 14

Question 10:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 15
Solution:
(b) Since, fractions with same denominators can be subtracted by simply subtracting the numerators and writing the common denominator as it is
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 16

Question 11:
0.7499 lies between
(a) 0.7 and 0.74      (c) 0.749 and 0.75
(b) 0.75 and 0.79   (d) 0.74992 and 0.75
Solution: (c) Since, 0.7499 is greater than 0.749 and less than 0.75. Therefore, 0.7499 lies between 0.749 and 0.75.
0.749 < 0.7499 < 0.75

Question 12:
0.023 lies between
(a) 0.2 and 0.3        (c) 0.03 and 0.029
(b) 0.02 and 0.03  (d) 0.026 and 0.024
Solution:
(b) Since, 0.023 is greater than 0.02 and less than 0.03. Therefore, 0.023 lies between 0.02 and 0.03.
0.02 < 0.023 <0.03

Question 13:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 17
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 18

Question 14:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 19
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 20

Question 15:
0.07 + 0.008 is equal to
(a) 0.15 (b) 0.015 (c) 0.078 (d) 0.78
Solution:
(c) Converting the given decimals to like decimals, we have 0.070 and 0.008.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 21
Note: Decimals having the same number of digits on the right of the decimal point are known as like decimals.

1/8 as a decimal? 1 0.125. 2 0.225. 3 0.325. 4 0.425.

Question 16:
Which of the following decimals is the greatest?
(a) 0.182 (b) 0.0925 (c) 0.29 (d) 0.038
Solution:
(c) Here, whole part of all numbers are same and tenths part of 0.0925 and 0.038 are same
i.e. 0 and tenths part of 0.182 =1/10
and tenths part of 0.29 = 2/10
Hence, 0.29 is the greatest.

Question 17:
Which of the following decimals is the smallest?
(a) 0.27 (b) 1.5 (c) 0.082 (d) 0.103
Solution:
(c) Here, whole part of numbers 0.27, 0.082 and 0.103 are same and is less than 1.5.
Now, we will compare the tenths part of 0.27, 0.082 and 0.103.
Tenths part of 0.27 = 2/10
Tenths part of 0.082 = 0/10
and tenths part of 0.103 =1/10
Clearly, tenths part of 0.082 is smallest.
Hence, 0.082 is the smallest decimal.

Question 18:
13.572 correct to the tenths place is ,
(a) 10 (b) 13.57 (c) 14.5 (d) 13.6
Solution:
(d) For rounding off to tenths place, we look at the hundredths place.
Here, the digit at hundredths place is 7 which is greater than 5. So, the digit at the tenths place (5) will be increased by 1 and digits at the hundredths and thousandths place will be written as equal to zero.
Hence, rounding off 13.572 to nearest tenths, we get 13.6.

What is formal notation for rounding to the nearest hundredth (notation, math)?.

Question 19:
15.8 – 6.73 is equal to
(a) 8.07 (b) 9.07 (c) 9.13 (d) 9.25
Solution:
(b) Converting the given decimals to like decimals, we have 15.80 and 6.73.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 22
Note: Decimals having the same number of digits on the right of the decimal point are known as like decimals.

In algebra, 1/32 to decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

Question 20:
The decimal 0.238 is equal to the fraction
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 23
Solution:
(a) We know that a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with 1 as there are number of places in the decimal part.
Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their HCF.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 24

Fill in the Blanks

In questions from 21 to 44, fill in the blanks to make the statements true.

Question 21:
A number representing a part of a …………. is called a fraction.
Solution:
Whole
By definition, a fraction is a number representing a part of a whole.

Question 22:
A fraction with denominator greater than the numerator is called ………. fraction.
Solution:
Proper
It is a standard definition.

Question 23:
Fractions with the same denominator are called …………. fractions.
Solution: Like
It is a standard definition.

Question 24:
13 5/18 is a ………… fraction.
Solution:
Mixed
Since, a combination of a whole number and a proper fraction is called a mixed fraction.

Question 25:
18/5 is an fraction.
Solution:
Improper
Since, a fraction whose numerator is more than or equal to the denominator is called an improper fraction.

Question 26:
7/18 is a ………….. fraction.
Solution:
Proper
Since, a fraction whose numerator is less than the denominator is called a proper fraction.

Question 27:
5/8 and 3/8 are ……….. proper fractions.
Solution:
Like
Since, fractions having the same denominators are called like fractions and fractions whose numerator is less than the denominator is called a proper fraction.

Question 28:
6/11 and 6/13 are …………. proper fractions.
Solution:
Unlike
Since, fractions having different denominators are called unlike fractions and fractions whose numerator is less than the denominator is called a proper fraction.

Question 29:
The fraction 6/15 in simplest from is ……….
Solution:
In order to reduce a fraction to its lowest terms, we divide its numerator and denominator by their HCF.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 25

Question 30:
The fraction 17/34 in simplest form is ……….
Solution:
1/2
In order to reduce a fraction to its lowest terms, we divide its numerator and denominator by their HCF.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 26

Question 31:
18/135 and 90/675 are proper, unlike and ……….. fraction.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 27

Question 32: 8 2/7 is equal to the improper …………… fraction .
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 28

Question 33:
87/7 is equal to the mixed fraction ………..
Solution:
12 3/7
In order to express an improper fraction as a mixed fraction, we first divide the numerator by denominator and obtain the quotient and remainder and then we write the mixed fraction as
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 29

Question 34:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 30
Solution:
9.26
Here,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 31

Question 35:
Decimal 16.25 is equal to the fraction ………..
Solution:
We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with 1 as there are numbers of places in the decimal part.
Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their HCF.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 32

Question 36:
Fraction is equal to the decimal number ………….
Solution:
0.28
In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator 10 or 100 or 1000 and then write its numerator and mark decimal point after one place or two place or three places from right towards left if the denominator is 10 or 100 or 1000, respectively.
If the numerator is short of digits, insert zeroes at the left of the numerator.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 33

Question 37:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 34
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 35

Question 38:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 36
Solution: 
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 37

Question 39:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 38
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 39

Question 40:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 40
Solution:
8
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 41

Question 41:
4.55 + 9.73 = …………
Solution:
14.28
We have,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 42

Question 42:
8.76 – 2.68 = …………
Solution:
6.08
We have,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 43

Question 43:
The value of 50 coins of 50 paisa = Rs ………..
Solution:
Value of 1 coin of 50 paise = 50 paise
Value of 50 coins of 50 paise = 50 paise x 50 = 2500 paise Now, we know that 1 Rs.= 100 paise
In order to convert paise to rupee, we divide the given value by 100.
2500 paise = Rs. = Rs.25

Question 44:
3 hundredths + tenths = ……….
Solution:
0.33
We have,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 44

True/False

In questions 45 to 65, state whether the given statements are True or False.

Question 45:
Fractions with same numerator are called like fractions.
Solution: False
Fractions with same denominator are called like fractions.

Question 46:
Fraction 18/19 is in its lowest form.
Solution:
False
We have,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 45
Note: A fraction is in its lowest terms, if its numerator and denominator have no common factor other than 1.

Question 47:
Fractions 15/39 and 45/117 are equivalent fractions.
Solution: True
We have,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 46

Question 48:
The sum of two fractions is always a fraction.
Solution:
False
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 47

Question 49:
The result obtained by subtracting a fraction from another fraction is necessarily a fraction.
Solution:
False
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 48

Question 50:
If a whole or an object is divided into a number of equal parts, then each part represents a fraction.
Solution:
True
Fraction is a part of a whole.

Question 51:
The place value of a digit at the tenths place is 10 times the same digit at the ones place.
Solution:
False
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 49

Question 52:
The place value of a digit at the hundredths place is — times the same
digit at the tenths place.
Solution:
True
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 50

Question 53:
The decimal 3.725 is equal to 3.72 correct to two decimal places.
Solution:
False
For correcting 3.725 to two decimal places we look at the thousandths place.
Here, the digit at thousandths places is 5. So, the digit at hundredths place 2 will be increased by 1 and 5 will be written as equal to zero.
Hence, 3.725 = 3.73 (correct to two decimal places)

Question 54:
In the decimal form, fraction 55/8 = 3.125.
Solution:
True
In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator 10 or 100 or 1000 and then write its numerator and mark decimal point after one place or two place or three places from right towards left, if the denominator is 10 or 100 or 1000 respectively.
If the numerator is short of digits, insert zeroes at the left of the numerator.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 51

Question 55:
The decimal 23.2 = 23 2/5
Solution:
False
We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with 1 as there are number of place in the decimal part.
Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their HCF and converting it to mixed fraction if required.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 52

Question 56:
The fraction represented by the shaded portion in the following figure is 3/8
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 53
Solution:
True
Total equal parts in figure = 8 and shaded parts in figure = 3
Now, the fraction of shaded part to the total parts = 3/8

Question 57:
The fraction represented by the unshaded portion in the following figure
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 54
Solution:
False
Total equal parts in figure = 9 and unshaded parts in figure = 4
Now, the fraction of unshaded part to the total parts = 4/9

Question 58:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 55
Solution:
False
Since, fractions with same denominators can be added by simply adding the numerators and writing the common denominator as it is.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 56

Question 59:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 57
Solution:
False
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 58

Question 60:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 59
Solution:
True
Since,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 60

Question 61:
3.03 + 0.016 = 3.019
Solution:
False
Converting the given decimals to like decimals and then adding. 3.030 + 0.016 = 3046

Question 62:
42.28 – 3.19 = 39.09
Solution:
True
Given, 42.28-3.19 = 39.09
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 61

Question 63:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 62
Solution:
True
We know that, if two fractions have same denominator, then fraction with greater numerator is greater.

Question 64:
19.25 < 19.053
Solution:
False
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 63

Question 65:
13.730 = 13.73
Solution:
True
Since, the value of zero at the last place in decimal part is negligible.
In each of the questions 66 to 71, fill in the blanks using “<” or ‘=’,

Question 66:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 64
Solution:
‘<‘
In order to compare fractions with different denominators, we will convert them to like fractions.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 65

Question 67:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 66
Solution:
‘<‘
In order to compare fraction with different denominators we will convert them to like fractions.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 67

Question 68:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 68
Solution:
‘=’
In order to compare fractions with different denominators, we will convert them to like fractions.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 69

Question 69:
3.25 — 3.4
Solution:
‘<‘
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 70

Question 70:
18/15 — 1.3
Solution:
‘<’
For comparing a fraction and a decimal, we will convert both of them to either into like fractions or into like decimals.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 71

Question 71:
6.25 — 25/4
Solution: 
‘=’
For comparing a fraction and a decimal, we will convert both of them to either into like fractions or into like decimals.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 72

Question 72:
Write the fraction represented by the shaded portion of the following figure.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 73
Solution:
Circle is divided into 8 equal parts and number of shaded parts are 7.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 74

Question 73:
Write the fraction represented by the unshaded portion of the following figure.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 75
Solution:
Rectangle is divided into 15 equal parts and number of unshaded parts are 4.
Fraction of unshaded portion to the total portion = 4/15.

Question 74:
Ali divided one fruit cake equally among six person. What part of the cake he gave to each person?
Solution:
Given, total number of fruit cake = 1
Ali divided one fruit cake equally among six persons.
The part of cake given to one person = 1/6
Hence, the required part is 1/6.

Question 75:
Arrange 12.142, 12.124, 12.104, 12.401 and 12.214 in ascending order.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 76
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 77

Question 76:
Write the largest four digit decimal number less than 1 using the digits 1, 5, 3 and 8 once.
Solution:
Given digits are 1,5, 3, 8 and the number should be less than 1. So, the whole part will 0.
Now, for making largest four digit decimal number we will arrange the given digits in descending order after decimal point.
Required decimal number = 0.8531

Question 77:
Using the digits 2, 4, 5 and 3 once, write the smallest four digit decimal number.
Solution:
Given digits are 2, 4, 5 and 3.
For making smallest decimal number we will arrange the given digits in ascending order after decimal point.
Required decimal number = 0.2345

Question 78:
Express 11/20 as a decimal.
Solution:
In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator 10 or 100 or 1000 and then write its numerator and mark decimal point after one place or two place or three places from right towards left, if the denominator is 10 or 100 or 1000 respectively.
If the numerator is short of digits, insert zeroes at the left of the numerator.
11/20 x 5/5 = = 0.55

Question 79:
Express 6 2/3 as an improper fraction.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 78

Question 80:
Express 3- as a decimal.
Solution:
In order to convert fraction into decimal, we first convert it into an equivalent fraction with denominator 10 or 100 or 1000 and then write its numerator and mark decimal point after one place on two place or three places from right towards left, if the denominator is 10 or 100 or 1000 respectively.
If the numerator is short of digits, insert zeroes at the left of the numerator.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 79

Question 81:
Express 0.041 as a fraction.
Solution:
We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with 1 as there are numbers of place in the decimal part.
Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by this HCF.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 80

Question 82:
Express 6.03 as a mixed fraction.
Solution:
We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with 1 as there are number of places in the decimal part. Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their HCF.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 81

Question 83:
Convert 5201 g to kg.
Solution:
We know that, 1 kg = 1000 g
Now, for converting g into kg, we have to divide the given value by 1000. 5201,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 82

Question 84:
Convert 2009 paise to rupees and express the result as a mixed fraction.
Solution:
We know that, Rs. 1 = 100 paise
Now, for converting paise into rupees, we have to divide the given value by 100.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 83

Question 85:
Convert 1537 cm to m and express the result as an improper fraction.
Solution:
We know that, 1 m = 100 cm
Now, for converting cm into m, we have to divide the given value by 100.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 84

Question 86:
Convert 2435 m to km and express the result as mixed fraction.
Solution:
We know that, 1 km = 1000 m
Now, for converting m into km, we have divide the given value by 1000.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 85

Question 87:
Arrange the fractions and – in ascending order.
Solution:
In order to arrange the given fractions in ascending order, we have to convert them into like fractions. So, LCM of the denominators, i.e. 3, 4, 2 and 6 = 2 x 2 x 3 = 12.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 86

Question 88:
Arrange the fractions and 6/7, 7/8, 4/5 and 3/4 in descending order.
Solution:
In order to arrange the given fractions in descending order, we have to convert them into like fractions. So, LCM of the denominators, i.e. 7, 8, 5 and 4
= 2 x 2 x 2 x 5 x 7 = 280
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 87

Question 89:
Write 3/4 as a fraction with denominator 44.
Solution:
Given fraction = 3/4
In order to express it, as a fraction with denominator 44, we will multiply the denominator
numerator by 11, to make it an equivalent fraction of 3/4.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 88

Question 90:
Write 5/6 as a fraction with numerator 60.
Solution:
Given fraction = 5/6
In order to express it, as the fraction with numerator 60, we will multiply the numerator denominator by 12, to make it an equivalent fraction of
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 89

Question 91:
Write 128/9 as a mixed fraction.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 90

Question 92:
Round off 20.83 to nearest tenths.
Solution:
For rounding off the tenths place, we look at the hundredths place.
Here, the digit at hundredths place is 3 which is less then 5. So, the digit at the tenths place 8 will not be increased by 1 and 3 will be written as equal to zero.
Hence, rounding off 20.83 to nearest tenths, we get 20.80.

Question 93:
Round off 75.195 to nearest hundredths.
Solution:
For rounding off to hundredths place, we look at the thousandths place.
Here, the digit at thousandths place is 5 which is equal to 5. So, the digit at the hundredths place 9 will be increased by 1 and 5 will be written as equal to zero.
Hence, rounding off 75.195 to nearest hundredths, we get 75.200.

Question 94:
Round off 27.981 to nearest tenths.
Solution:
For rounding off the tenths place, we look at the hundredths place.
Here, the digit at hundredths place is 8 which is greater than 5. So, the digit at tenths place 9 will be increased by 1 and digits at the hundredths and thousandths place will be written as equal to zero.
Hence, rounding off 27.981 to nearest tenths, we get 28.

Question 95:
Add the fractions 3/8 and 2/3.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 91

Question 96:
Add the fractions 3/8 and 6 3/4.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 92

Question 97:
Subtract 1/6 from 1/2.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 93

Question 98:
Subtract 8 3/8 from 100/9.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 94

Question 99:
Subtract 1 1/4 from 6 1/2.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 95

Question 100:
Add 1 1/4 and 6 1/2.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 96

Question 101:
Katrina rode her bicycle 6- km in the morning and 8 3/4 km in the evening. Find the distance traveled by her altogether on that day. ,
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 97

Question 102:
A rectangle is divided into certain number of equal parts. If 16 of the parts, so formed represent the fraction 1/4 , find the number of parts in which the rectangle has been divided.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 98

Question 103:
Grip size of a tennis racquet is 11 9/80 cm. Express the size as an improper fraction.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 99

Question 104:
On an average 1/10 of the food eaten is turned into organism’s own body is available for the next level of consumers in a food chain.What fraction of food eaten is not available for the next user?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 100

Question 105:
Mr. Rajan got a job at the age of 24 yr and he got retired from the job at the age of 60 yr. What fraction of his age till retirement was he in the job?
Solution:
Given, Rajan’s age on the joining =24 yr and retirement age = 60 yr
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 101

Question 106:
The food we eat remains in the stomach for a maximum of 4 h. For what fraction of a day, does it remain there?
Solution:
Given, maximum hours for which food remains in the stomach = 4 We know that, 1 day = 24 h
The fraction of a day for which food remains in the stomach 4 h/24 h = 1/6
So, the food remains in the stomach for 1/6 past of the day.

Question 107:
What should be added to 25.5 to get 50?
Solution:
To get the required result, we have to subtract 25.5 from 50.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 102
So, 24.5 should be added to 25.5 to get 50.

Question 108:
Alok purchased 1 kg 200 g potatoes, 250 g dhania, 5 kg 300 g onion, 500 g palak and 2 kg 600 g tomatoes. Find the total weight of his purchases in kilograms.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 103
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 104

Question 109:
Arrange in ascending order.
0.011, 1.001, 0.101, 0.110
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 105

Question 110:
Add the following.
20.02 and 2.002
Solution:
Converting the given decimals to like decimals, we have 20.020 and 2.002. Now,
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 106

Question 111:
It was estimated that because of people switching to Metro trains, about 33000 tonne of CNG, 3300 tonne of diesel and 21000 tonne of petrol was saved by the end of year 2007. Find the fraction of
(i) the quantity of diesel saved to the quantity of petrol saved
(ii) the quantity of diesel saved to the quantity of CNG saved.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 107

Question 112:
Energy content of different foods are as follows:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 108
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 109

Question 113:
A cup is 1/3 full of milk, what part of the cup is still to be filled by milk to make it full?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 110

Question 114:
Mary bought 3 1/2 m of lace. She used 1 3/4 m of lace for her new dress.
How much lace is left with her?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 111

Question 115:
When Sunita weighed herself on Monday, she found that she had 1 3
gained 1 1/4 kg. Earlier her weight was 46 3/8 kg. What was her weight on 4 8 Monday?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 112

Quantity 116:
Sunil purchased 12 1/2 L of juice on Monday and 14 3/4 L of juice on Tuesday. How many litres of juice did he purchase together in two days?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 113

Question 117:
Nazima gave 2 3/4 L out of the 5 1/2 L of juice she purchased to her friends.
How many litres of juice is left with her?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 114
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 115

Question 118:
Roma gave a wooden board of length 150 1/4 cm to a carpenter for making a shelf. The Carpenter sawed off a piece of 40 1/5 cm from it.
What is the length of the remaining piece?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 116

Question 119:
Nasir travelled 3 1/2 km in a bus and then walked 1 1/8 km to reach a town.
How much did he travel to reach the town?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 117

Question 120:
The fish caught by Neetu was of weight 3 3/4 kg and the fish caught by Narendra was of weight 2 1/2 kg.
How much did Neetu’s fish weight than that of Narendra?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 118

Question 121:
Neelam’s father needs 1 3/4 m of cloth for the skirt of Neelam’s new dress and 1/2 m for the scarf. How much cloth must he buy in all?
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 119

Question 122:
What is wrong in the following additions?
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 120
Solution:
(a) On observing the sum, we find that the denominators of like fractions are also added which is wrong. So, the correct answer will be 12 3/4.
(b) On observing the sum, we find that the fractions have different denominators which could not be added directly. For adding fractions with different denominators we have to convert them into like fractions.

Question 123:
Which one is greater?
1 m 40 cm + 60 cm or 2.6 m
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 121

Question 124:
Match the fractions of Column I with the shaded or marked portion of figures of Column II
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 122
Solution:
On observing the figures given in Column II, we get
(a) Line is divided into 10 equal parts out of which 6 parts are shaded.
The fraction of shaded portion to the total parts = 6/10
(b) Square is divided into 16 equal parts out of which 6 parts are shaded.
The fraction of shaded portion to the total parts = 6/16
(c) Rectangle is divided into 7 equal parts out of which 6 parts are shaded.
The fraction of shaded portion to the total parts = 6/7
(d) Each of the two circle is divided in 4 equal parts out of which 4 parts of one circle and 2 parts of second circle are shaded.
The fraction of shaded portion to the total parts = 4+2 / 4+4 = 6/8
(e) Rectangle is divided into 6 equal parts out of which 6 are shaded.
The fraction of shaded portion to the total parts =
Hence, the (i) ->d, (ii) -> a, (iii) ->e, (iv) -> b, (v) -> c

Question 125:
Find the fraction that represents the number of natural numbers to total numbers in the collection 0,1, 2, 3, 4, 5. What fraction will it be for whole number?
Solution:
Given collection is 0, 1, 2, 3, 4, 5.
Natural numbers = 1, 2, 3, 4, 5
The fraction of natural numbers to the collection =5/6
Now, whole numbers = 0,1,2, 3, 4, 5, 6
The fraction of whole numbers to the collection = 6/6 = 1/1

Question 126:
Write the fraction representing the total number of natural numbers in the collection of numbers -3, -2,-1, 0,1, 2, 3. What fraction will it be for whole numbers? What fraction will it be for integers?
Solution:
Given collection is -3 -2,-1, 0,1,2, 3.
Natural numbers = 1,2, 3
The fraction of natural numbers to the collection = 3/7
Now, whole numbers = 0,1,2,3
The fraction of whole numbers to the collection = 4/7
and integers = – 3, -2, -1, 0,1,2, 3
The fraction of integers to the collection 7/7 = 1/1

Question 127:
Write a pair of fractions whose sum is 7/11 and difference is 2/11.
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 123
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 124

Question 128:
What fraction of straight angle is a right angle.
Solution:
We know that, measures of right angle and straight angle are 90° and 180°
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 125

Question 129:
Put the right card in the right bag.
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 126
Solution:
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 127
NCERT Exemplar Class 6 Maths Chapter 4 Fractions and Decimals Solutions Img 128

NCERT Exemplar ProblemsNCERT Exemplar MathsNCERT Exemplar Science

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers
  • The Summer Of The Beautiful White Horse Answers
  • Job Application Letter class 12 Samples
  • Science Lab Manual Class 9
  • Letter to The Editor Class 12 Samples
  • Unseen Passage For Class 6 Answers
  • NCERT Solutions for Class 12 Hindi Core
  • Invitation and Replies Class 12 Examples
  • Advertisement Writing Class 11 Examples
  • Lab Manual Class 10 Science

Recent Posts

  • Understanding Diversity Question Answer Class 6 Social Science Civics Chapter 1 NCERT Solutions
  • Our Changing Earth Question Answer Class 7 Social Science Geography Chapter 3 NCERT Solutions
  • Inside Our Earth Question Answer Class 7 Social Science Geography Chapter 2 NCERT Solutions
  • Rulers and Buildings Question Answer Class 7 Social Science History Chapter 5 NCERT Solutions
  • On Equality Question Answer Class 7 Social Science Civics Chapter 1 NCERT Solutions
  • Role of the Government in Health Question Answer Class 7 Social Science Civics Chapter 2 NCERT Solutions
  • Vital Villages, Thriving Towns Question Answer Class 6 Social Science History Chapter 9 NCERT Solutions
  • New Empires and Kingdoms Question Answer Class 6 Social Science History Chapter 11 NCERT Solutions
  • The Delhi Sultans Question Answer Class 7 Social Science History Chapter 3 NCERT Solutions
  • The Mughal Empire Question Answer Class 7 Social Science History Chapter 4 NCERT Solutions
  • India: Climate Vegetation and Wildlife Question Answer Class 6 Social Science Geography Chapter 8 NCERT Solutions
  • Traders, Kings and Pilgrims Question Answer Class 6 Social Science History Chapter 10 NCERT Solutions
  • Environment Question Answer Class 7 Social Science Geography Chapter 1 NCERT Solutions
  • Understanding Advertising Question Answer Class 7 Social Science Civics Chapter 7 NCERT Solutions
  • The Making of Regional Cultures Question Answer Class 7 Social Science History Chapter 9 NCERT Solutions

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions