NCERT Solutions for Class 6 Maths Chapter 7 Fractions

NCERT Solutions for Class 6 Maths Chapter 7 Fractions are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 7 Fractions.

Board	CBSE
Textbook	NCERT
Class	Class 6
Subject	Maths
Chapter	Chapter 7
Chapter Name	Fractions
Exercise	Ex 7.1, Ex 7.2, Ex 7.3, Ex 7.4, Ex 7.5, Ex 7.6
Number of Questions Solved	48
Category	NCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 7 Fractions

Chapter 7 Fractions Exercise 7.1

Question 1.
Write the fraction representing the shaded portion.

Solution:
The fraction representing the shaded portion in the given diagram are as under:

Question 2.
Colour the part according to the given fraction


Solution:
The figures are shaded as per indicated fraction shown against them.

Question 3.
Identify the error, if any?

Solution:
In all the figures, the shaded portions do not represent the given fractions.

Question 4.
What fraction of a day is 8 hours?
Solution:
Since, there are 24 hours in a day, therefore, the required fraction
.

Question 5.
What fraction of an hour is 40 minutes?
Solution:
Since, there are 60 minutes in an hour, therefore, the required fraction .

Question 6.
Arya, Abhimanyu and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.
(a) How can Arya divide his sandwiches so that each person has an equal share?
(b) What part of a sandwich will each boy receive?
Solution:
(a) To divide 2 sandwiches brought by Arya equally among Arya, Abhimanyu and Vivek (i.e., 3 persons), we have to divide each sandwich into 3 equal parts. Then two parts thus obtained be given to each of them.
(b) of a sandwich will be received by each boy but in total each will get .

Question 7.
Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
Solution:
Total number of dresses = 30
Work finished = 20
∴ The fraction of dresses she has finished =.

Question 8.
Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
Solution:
Natural numbers from 2 to 12 are:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 i.e., 11 in number.
Prime numbers out of these numbers are:
2, 3, 5, 7, 11 i.e., 5 in number.
∴ Required fraction =

Question 9.
Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
Solution:
Natural numbers from 102 to 113 are:
102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113 i.e., 12 in number.
Prime numbers out of the above numbers are:
103, 107, 109, 113 i.e., 4 in number.
∴ Required fraction =

Question 10.
What fraction of these circles have X’s in them?
Solution:
∴Required fraction =

Question 11.
Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?
Solution:
Total number of CDs = 3 + 5 = 8
Number of CDs purchased = 3
Fraction of CDs purchased =
Fraction of CDs received as gift = .

Chapter 7 Fractions Exercise 7.2

Question 1.
Draw number lines and locate the points on them:
(a)
(b)
(c)
Solution:
(a) We know that is greater than zero and less than 1, so it should lie 2 between 0 and 1.
To show on the number line, we divide the gap between 0 and 1 into two equal parts and the point P represents the fraction .
To represent on the number line, we divide the gap between 0 and 1 into 4 equal parts, then the points P, R and A respectively represent the fraction and .
(b) To rfepresent and on the number line, we divide the gap between 0 and 1 into 8 equal parts, then the points P, Q, R and S respectively represent the fraction and .
(c) To represent and on the number line, we divide the gap between 0 and 1 into 5 equal parts, then the points P, Q and R respectively represent the fraction and .
For representing
Draw a line. Take a point 0 on it. Let it represent 0.
Now,
From O, set off unit distances to the right. Let these segments be OA, AB. Then, clearly the points A and B represent 1 and 2 respectively. Take 1 full unit length to the right of O. Divide the 2nd unit AB into 5 equal parts. Take 3 parts out of these 5 parts to reach P. Then, P represents .

Question 2.
Express the following as mixed fractions:

Solution:

Question 3.
Express the following as improper fractions:

Solution:

Chapter 7 Fractions Exercise 7.3

Question 1.
Write the fractions. Are all these fractions equivalent?

Solution:

Question 2.
Write the fractions and pair up the equivalent fractions from each row.

Solution:

Question 3.
Replace □ in each of the following by the correct number:

Solution:

Question 4.
Find the equivalent fraction of having
(a) denominator 20
(b) numerator 9
(c) denominator 30
(d) numerator 27
Solution:

Question 5.
Find the equivalent fraction of with
(a) numerator 9
(b) denominator 4
Solution:
(a) ∵ 36 ÷ 9 = 4
∴ We divide the numerator and denominator by 4

(b) ∵ 48 ÷ 4 = 12
∴ We divide the numerator and denominator by 12

Question 6.
Check whether the given fractions are equivalent:

Solution:

Question 7.
Reduce the following fractions to simplest form:

Solution:

Question 8.
Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of their of her/his pencils?
Solution:
Fractions of pencils used by Ramesh, Sheelu and Jamaal are and respectively.

Thus, these fractions are equal.

Question 9.
Match the equivalent fractions and write two more for each:

Solution:

Chapter 7 Fractions Exercise 7.4

Question 1.
Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘>’, ‘=’, ‘>’ between the fractions:


Solution:

Question 2.
Compare the fractions and put an appropriate sign.

Solution:

Question 3.
Make five more such pairs and put appropriate signs.
Solution:
Five more such pairs may be taken as under:
Compare the fractions and put an appropriate sign.

Question 4.
Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

Make five more such problems and solve them with your friends.
Solution:

Question 5.
Five more such problems are as under:
Look at the figures given in question 5 and write ‘<’ or ‘>’ or ‘=’ between the pairs of fractions.

Solution:

Question 6.
How quickly can you do this? Fill appropriate sign. (<, =, >)

Solution:

Question 7.
The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.

Solution:

On separating them into three groups of equivalent fractions, we have

Question 8.
Find answers to the following. Write and indicate how you solved them.

Solution:

Question 9.
Ila read 25 pages of a book containing 100 pages. Lalita read of the same book. Who read less?
Solution:

Question 10.
Rafiq exercised for of an hour, while Rohit exercised for of
an hour. Who exercised for a longer time?
Solution:

Question 11.
In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?
Solution:
Fraction of students getting first class in class A

Fraction of students getting first class in class B

Clearly, an equal number of students got 1st class in both the classes.

Chapter 7 Fractions Exercise 7.5

Question 1.
Write these fractions appropriately as additions or subtractions:

Solution:

Question 2.
Solve:

Solution:

Question 3.
Shubham painted of the wall space in his room. His sister Madhavi helped and painted of the wall space. How much did they paint together?
Solution:
Portion of wall painted by Shubham =
Portion of wall painted by Madhavi =
Wall painted by both of them =
i.e., full wall was painted by them.

Question 4.
Fill in the missing fractions.

Solution:

Question 5.
Javed was given of a basket of oranges. What fraction of oranges was left in the basket? ‘
Solution:
Portion of oranges received by Javed =
Portion of oranges left in the basket

Chapter 7 Fractions Exercise 7.6

Question 1.
Solve:

Solution:

Question 2.
Sarita bought metre of ribbon and Lalita metre of ribbon.
What is the total length of the ribbon they bought?
Solution:
Ribbon bought of Sarita = m
Ribbon bought of Lalita = m
Total length of the ribbon bought = m

Question 3.
Naina was given piece of cake and Najma was given piece of cake. Find the total amount of cake was given to both of them.
Solution:
Number of pieces of cake consumed by Naina =
Number of pieces of cake consumed by Najma =
Total amount of cake consumed =

Question 4.
Fill in the boxes:

Solution:

Question 5.
Complete the addition-subtraction box.

Solution:

Question 6.
A piece of wire metre long broke into two pieces. One piece was metre long. How long is the other piece?
Solution:
Total length of wire = metre
Length of a piece of wire = metre
∴ Other piece of wire = metre

Question 7.
Nandini’s house is km from her school. She walked some distance and then took a bus for km to reach the school. How
Solution:
Total distance of Nandini’s house from her school = km
Distance for which bus was taken = km
∴ Distance walked by Nandini for home

Question 8.
Asha and Samuel have bookshelves of the same size partly filled with hooks. Asha’s shelf is th full and Samuel’s shelf is th full. Whose bookshelf is more full? By what fraction?
Solution:

Question 9.
Jaidev takes minutes to walk across the school ground. Rahul takes minutes to do the same. Who takes less time and by what fraction?
Solution:

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