# Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions

## 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 $$\frac { 3 }{ 4 }$$ kg of wheat and 2 $$\frac { 1 }{ 2 }$$ kg of rice. Find the total weight of wheat and rice bought.
Solution:

Question 7.
Which is greater,$$\frac { 3 }{ 5 }$$ or $$\frac { 7 }{ 10 }$$ and by how much?
Solution:

Question 8.
What number should be added to 8 $$\frac { 2 }{ 3 }$$ to 12 $$\frac { 5 }{ 6 }$$
Solution:

Question 9.
What should be subtracted from 8$$\frac { 3 }{ 4 }$$ to get 2 $$\frac { 2 }{ 3 }$$
Solution:

Question 10.
A field is 16 $$\frac { 1 }{ 2 }$$ m long and 12 $$\frac { 2 }{ 5 }$$ m wide. Find the perimeter of the field.
Solution:

Question 11.
Sugar costs ₹37 $$\frac { 1 }{ 2 }$$per kg. Find the cost of 8$$\frac { 3 }{ 4 }$$ kg sugar.
Solution:

Question 12.
A motor cycle runs 31$$\frac { 1 }{ 4 }$$ km consuming 1 litre of petrol. How much distance will it run consuming 1$$\frac { 3 }{ 5 }$$ liter of petrol?
Solution:

Question 13.
A rectangular park has length = 23 $$\frac { 2 }{ 3 }$$ m and breadth = 16 $$\frac { 2 }{ 3 }$$ m. Find the area of the park.
Solution:

Question 14.
Each of 40 identical boxes weighs 4 $$\frac { 4 }{ 5 }$$ kg Find the total weight of all the boxes.
Solution:

Question 15.
Out of 24 kg of wheat, $$\frac { 5 }{ 6 }$$ th of wheat is consumed. Find, how much wheat is still left?
Solution:

Question 16.
A rod of length 2 $$\frac { 2 }{ 5 }$$ metre is divided into five equal parts. Find the length of each part so obtained.
Solution:

Question 17.
IfA = 3$$\frac { 3 }{ 8 }$$ and B = 6$$\frac { 5 }{ 8 }$$ find :
(i) A+B
(ii) B A
Solution:

Question 18.
Cost of 3 $$\frac { 5 }{ 7 }$$ litres of oil is ₹83 $$\frac { 1 }{ 2 }$$. Find the
cost of one litre oil.
Solution:

Question 19.
The product of two numbers is 20 $$\frac { 5 }{ 7 }$$. If one of these numbers is 6 $$\frac { 2 }{ 3 }$$, find the other.
Solution:

Question 20.
By what number should 5 $$\frac { 5 }{ 6 }$$ be multiplied 1 to get 3$$\frac { 1 }{ 3 }$$ ?
Solution:

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) $$\frac { 1 }{ 2 }$$ the length of AB to that of $$\frac { 1 }{ 3 }$$ of CD ?
(iii) $$\frac { 1 }{ 5 }$$ of CD to that of AB ?
Solution:

Question 2.
Subtract $$\frac { 2 }{ 7 }$$ – $$\frac { 5 }{ 21 }$$ from the sum of $$\frac { 3 }{ 4 }$$ , $$\frac { 5 }{ 7 }$$ and $$\frac { 7 }{ 12 }$$
Solution:

Question 3.
From a sack of potatoes weighing 120 kg, a merchant sells portions weighing 6 kg, 5$$\frac { 1 }{ 4 }$$ kg, 9$$\frac { 1 }{ 2 }$$ kg and 9$$\frac { 3 }{ 4 }$$ 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$$\frac { 1 }{ 2 }$$ hours, 8$$\frac { 1 }{ 4 }$$ hours, 6 $$\frac { 1 }{ 4 }$$4 3hours, 6$$\frac { 3 }{ 4 }$$ 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 $$\frac { 1 }{ 3 }$$ m of yellow ribbon, 6 $$\frac { 1 }{ 6 }$$ m of red ribbon and 3$$\frac { 2 }{ 9 }$$ 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 $$\frac { 3 }{ 5 }$$ and $$\frac { 2 }{ 5 }$$ 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 $$\frac { 2 }{ 5 }$$ 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 $$\frac { 3 }{ 4 }$$ 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$$\frac { 1 }{ 2 }$$ kg ?Solution:

Question 10.
A rope is 25$$\frac { 1 }{ 2 }$$ m long. How many pieces , 1 $$\frac { 1 }{ 2 }$$ 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 $$\frac { 1 }{ 4 }$$ m and 22 $$\frac { 1 }{ 3 }$$ respectively. How much higher is the second pole as compared with the height of the first pole ?
Solution:

Question 12.
Vijay weighed 65$$\frac { 1 }{ 2 }$$ kg. He gained 1$$\frac { 2 }{ 5 }$$ kg during the first week, 1 $$\frac { 1 }{ 4 }$$ kg during the second week, but lost $$\frac { 5 }{ 16 }$$ kg during the 16 third week. What was his weight after the third week ?
Solution:

Question 13.
A man spends $$\frac { 2 }{ 5 }$$ of his salary on food and $$\frac { 3 }{ 10 }$$ on house rent, electricity, etc. What fraction of his salary is still left with him ?
Solution:

Question 14.
A man spends $$\frac { 2 }{ 5 }$$ of his salary on food and $$\frac { 3 }{ 10 }$$ 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 $$\frac { 1 }{ 10 }$$ 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 $$\frac { 1 }{ 3 }$$ of its length in water.
(i) What fraction of its length is above the water ?
(ii) If 3$$\frac { 1 }{ 3 }$$ m of the lamp post is above the water, find the whole length of the lamp post.
Solution:

Question 17.
I spent $$\frac { 3 }{ 5 }$$ of my savings and still have Rs. 2,000 left. What were my savings ?
Solution:

Question 18.
In a school, $$\frac { 4 }{ 5 }$$ of the children are boys. If the number of girls is 200, find the number of boys.
Solution:

Question 19.
If $$\frac { 4 }{ 5 }$$ of an estate is worth Rs. 42,000, find the worth of whole estate. Also, find the value of $$\frac { 3 }{ 7 }$$ of it.
Solution:

Question 20.
After going $$\frac { 3 }{ 4 }$$ 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 $$\frac { 3 }{ 5 }$$ 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 $$\frac { 3 }{ 5 }$$ of his money on buying 1 cloth and $$\frac { 1 }{ 4 }$$ 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 $$\frac { 3 }{ 5 }$$ of his money on buying cloth and $$\frac { 1 }{ 4 }$$ of his money on buying shoes. If initially he has ?2,400; how much did he spend on shoes?
Solution: