Contents

- 1 Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions (Including Problems)
- 1.1 Fractions Exercise 3A – Selina Concise Mathematics Class 7 ICSE Solutions
- 1.2 Fractions Exercise 3B – Selina Concise Mathematics Class 7 ICSE Solutions
- 1.3 Fractions Exercise 3C – Selina Concise Mathematics Class 7 ICSE Solutions
- 1.4 Fractions Exercise 3D – Selina Concise Mathematics Class 7 ICSE Solutions
- 1.5 Fractions Exercise 3E – Selina Concise Mathematics Class 7 ICSE Solutions

## Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions (Including Problems)

**Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions (Including Problems)**

### Fractions Exercise 3A – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Classify, each fraction given below, as decimal or vulgar fraction, proper or improper fraction and mixed fraction:

Solution:

Question 2.

Express the following improper fractions as mixed fractions :

Solution:

Question 3.

Express the following mixed fractions as improper fractions :

Solution:

Question 4.

Reduce the given fractions to lowest terms

Solution:

Question 5.

State : true or false

Solution:

Question 6.

Distinguish each of the following fractions, given below, as a simple fraction or a complex fraction :

Solution:

### Fractions Exercise 3B – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

For each pair, given below, state whether it forms like fractions or unlike fractions :

Solution:

Question 2.

Convert given fractions into fractions with equal denominators :

Solution:

Question 3.

Convert given fractions into fractions with equal numerators :

Solution:

Question 4.

Put the given fractions in ascending order by making denominators equal :

Solution:

Question 5.

Arrange the given fractions in descending order by making numerators equal :

Solution:

Question 6.

Find the greater fraction :

Solution:

Question 7.

Insert one fraction between :

Solution:

Question 8.

Insert three fractions between

Solution:

Question 9.

Insert two fractions between

Solution:

### Fractions Exercise 3C – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Reduce to a single fraction :

Solution:

Question 2.

Simplify :

Solution:

Question 3.

Subtract :

Solution:

Question 4.

Find the value of

Solution:

Question 5.

Simplify and reduce to a simple fraction :

Solution:

Question 6.

A bought 3 kg of wheat and 2 kg of rice. Find the total weight of wheat and rice bought.

Solution:

Question 7.

Which is greater, or and by how much?

Solution:

Question 8.

What number should be added to 8 to 12

Solution:

Question 9.

What should be subtracted from 8 to get 2

Solution:

Question 10.

A field is 16 m long and 12 m wide. Find the perimeter of the field.

Solution:

Question 11.

Sugar costs ₹37 per kg. Find the cost of 8 kg sugar.

Solution:

Question 12.

A motor cycle runs 31 km consuming 1 litre of petrol. How much distance will it run consuming 1 liter of petrol?

Solution:

Question 13.

A rectangular park has length = 23 m and breadth = 16 m. Find the area of the park.

Solution:

Question 14.

Each of 40 identical boxes weighs 4 kg Find the total weight of all the boxes.

Solution:

Question 15.

Out of 24 kg of wheat, th of wheat is consumed. Find, how much wheat is still left?

Solution:

Question 16.

A rod of length 2 metre is divided into five equal parts. Find the length of each part so obtained.

Solution:

Question 17.

IfA = 3 and B = 6 find :

(i) A+B

(ii) B A

Solution:

Question 18.

Cost of 3 litres of oil is ₹83 . Find the

cost of one litre oil.

Solution:

Question 19.

The product of two numbers is 20 . If one of these numbers is 6 , find the other.

Solution:

Question 20.

By what number should 5 be multiplied 1 to get 3 ?

Solution:

### Fractions Exercise 3D – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Simplify

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solution:

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

### Fractions Exercise 3E – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

A line AB is of length 6 cm. Another line CD is of length 15 cm. What fraction is :

(i) The length of AB to that of CD ?

(ii) the length of AB to that of of CD ?

(iii) of CD to that of AB ?

Solution:

Question 2.

Subtract – from the sum of , and

Solution:

Question 3.

From a sack of potatoes weighing 120 kg, a merchant sells portions weighing 6 kg, 5 kg, 9 kg and 9 kg respectively.

(i) How many kg did he sell ?

(ii) How many kg are still left in the sack ?

Solution:

Question 4.

If a boy works for six consecutive days for 8 hours, 7 hours, 8 hours, 6 4 3hours, 6 hours and 7 hours respectively. How much money will he earn at the rate of Rs. 36 per hour ?

Solution:

Question 5.

A student bought 4 m of yellow ribbon, 6 m of red ribbon and 3 m of blue ribbon for decorating a room. How many metres of ribbon did he buy ?

Solution:

Question 6.

In a business, Ram and Deepak invest and of the total investment. IfRs. 40,000 is the total investment, calculate the amount invested by each ?

Solution:

Question 7.

Geeta had 30 problems for home work. She worked out of them. How many problems were still left to be worked out by her ?

Solution:

Question 8.

A picture was marked at Rs. 90. It was sold at of its marked price. What was the sale price ?

Solution:

Question 9.

Mani had sent fifteen parcels of oranges. What was the total weight of the parcels, if each weighed 10 kg ?Solution:

Question 10.

A rope is 25 m long. How many pieces , 1 each of length can be cut out from it?Solution:

Question 11.

The heights of two vertical poles, above the earth’s surface, are 14 m and 22 respectively. How much higher is the second pole as compared with the height of the first pole ?

Solution:

Question 12.

Vijay weighed 65 kg. He gained 1 kg during the first week, 1 kg during the second week, but lost kg during the 16 third week. What was his weight after the third week ?

Solution:

Question 13.

A man spends of his salary on food and on house rent, electricity, etc. What fraction of his salary is still left with him ?

Solution:

Question 14.

A man spends of his salary on food and of the remaining on house rent, electricity, etc. What fraction of his salary is still left with him ?

Solution:

Question 15.

Shyam bought a refrigerator for Rs. 5000. He paid of the price in cash and the rest in 12 equal monthly instalments. How much had he to pay each month ?

Solution:

Question 16.

A lamp post has half of its length in mud, and of its length in water.

(i) What fraction of its length is above the water ?

(ii) If 3 m of the lamp post is above the water, find the whole length of the lamp post.

Solution:

Question 17.

I spent of my savings and still have Rs. 2,000 left. What were my savings ?

Solution:

Question 18.

In a school, of the children are boys. If the number of girls is 200, find the number of boys.

Solution:

Question 19.

If of an estate is worth Rs. 42,000, find the worth of whole estate. Also, find the value of of it.

Solution:

Question 20.

After going of my journey, I find that I have covered 16 km. How much Journey is still left ?

Solution:

Question 21.

When Krishna travelled 25 km, he found that of his journey was still left. What was the length of the whole journey.

Solution:

Question 22.

From a piece of land, one-third is bought by Rajesh and one-third of remaining is bought by Manoj. If 600 m² land is still left unsold, find the total area of the piece of land.

Solution:

Question 23.

A boy spent of his money on buying 1 cloth and of the remaining on buying shoes. If initially he has ?2,400; how much did he spend on shoes?

Solution:

Question 24.

A boy spent of his money on buying cloth and of his money on buying shoes. If initially he has ?2,400; how much did he spend on shoes?

Solution: