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ICSE

**Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 14 Fractions**

Question 1.

For each expression, given below, write a fraction :

(i) 2 out of 7 = ………..

(ii) 5 out of 17 = ………..

(iii) three-fifths = ………

Solution:

Question 2.

Fill in the blanks :

Solution:

Question 3.

From the following fractions, separate :

(i) Proper fractions

(ii)Improper fractions :

Solution:

Question 4.

Change the following mixed fractions to improper fractions :

Solution:

Question 5.

Change the following improper fractions to mixed fractions :

Solution:

Question 6.

Change the following groups of fractions to like fractions :

Solution:

Question 1.

Reduce the given fractions to their lowest terms :

Solution:

Question 2.

State, whether true or false?

Solution:

Question 3.

Which fraction is greater?

Solution:

Question 4.

Which fraction is smaller ?

Solution:

Question 5.

Arrange the given fractions in descending order of magnitude :

Solution:

Question 6.

Arrange the given fractions in ascending order of magnitude :

Solution:

Question 7.

I bought one dozen bananas and ate five of them. What fraction of the total number of bananas was left ?

Solution:

Question 8.

Insert the symbol ‘=’ or ‘>’ or ‘<’ between each of the pairs of fractions, given below :

Solution:

Question 9.

Out of 50 identical articles, 36 are broken. Find the fraction of :

(i) The total number of articles and the articles broken.

(ii) The remaining articles and total number of articles.

Solution:

Question 1.

Add the following fractions :

Solution:

Question 2.

Simplify :

Solution:

Point to Remember :

BODMAS :- While simplifying an expressions we can involve six operation in following orders.

B Stands for “BRACKET”

O Stands for “OF”

D Stands for “DIVISION”

M Stands for “MULTIPLICATION”

A Stands for “ADDITION”

S Stands for “SUBTRACTION”

Question 1.

Simplify :

Solution:

Question 2.

Simplify :

Solution:

Question 3.

Simplify :

Solution:

Question 4.

Simplify :

Solution:

Question 5.

Simplify :

Solution:

Question 1.

From a rope of 10\(\frac { 1 }{ 2 }\) m long, 4\(\frac { 5 }{ 8 }\) m is cut off. Find the length of the remaining rope.

Solution:

Question 2.

A piece of cloth is 5 metre long. After washing, it shrinks by \(\frac { 1 }{ 25 }\) of its length. What is the length of the cloth after washing?

Solution:

Question 3.

I bought wheat worth Rs. 12\(\frac { 1 }{ 2 }\), rice worth Rs. 25\(\frac { 3 }{ 4 }\) and vegetables worth Rs. 10\(\frac { 1 }{ 4 }\). If I gave a hundred-rupee note to the shopkeeper ; how much did he return to me

Solution:

Question 4.

Out of 500 oranges in a box, \(\frac { 3 }{ 25 }\) are rotten and \(\frac { 1 }{ 5 }\) are kept for some guests. How many oranges are left in the box?

Solution:

Question 5.

An ornament piece is made of gold and copper. Its total weight is 96g. If \(\frac { 1 }{ 12 }\) of the ornament hi copper, find the weight of gold in it.

Solution:

Question 6.

A girl did half of some work on Monday and one-third of it on Tuesday. How much will she have to do on Wednesday in order to complete the work?

Solution:

Question 7.

A man spends \(\frac { 3 }{ 8 }\) of his money and 8 still has Rs. 720 left with him. How much money did he have at first?

Solution:

Question 8.

In a school, \(\frac { 4 }{ 5 }\) of the students are boys, and the number of girls is 100. Find the number of boys.

Solution:

Question 9.

After finishing \(\frac { 3 }{ 4 }\) of my journey, I find that 12 km of my journey is covered. How much distance is still left to be covered?

Solution:

Question 10.

When Ajit travelled 15 km, he found that one-fourth of his journey was still left. What was the full length of the journey?

Solution:

Question 11.

In a particular month, a man earns Rs. 7,200. Out of this income, he spends \(\frac { 3 }{ 10 }\) on food, \(\frac { 1 }{ 4 }\) on house rent, \(\frac { 1 }{ 10 }\) on insurance and \(\frac { 2 }{ 25 }\) on holidays. How much did he save in that month ?

Solution:

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Evaluate :

Solution:

img src=”https://live.staticflickr.com/65535/48262756312_fc8998c0cc_o.png” width=”349″ height=”607″ alt=”Middle School Mathematics Class 6 Solutions Chapter 14 Fractions 56″>

Question 4.

Mr. Mehra gave one-third of his money to his son, one-fifth of his money to his daughter and the remaining amount to his wife. If his wife got Rs. 91,000, how much money did Mr. Mehra have originally?

Solution:

Question 5.

A sum of Rs. 84,000 is divided among three persons A, B and C. If A gets one-fourth of it and B gets one-fifth of it; how much did C get?

Solution:

Question 6.

In one hour Rohit walks 3\(\frac { 2 }{ 5 }\) km. How much distance will he cover in 2\(\frac { 1 }{ 2 }\) hours?

Solution:

Question 7.

An 84 m long string is cut into pieces each of length 5\(\frac { 1 }{ 4 }\) m. How many pieces are obtained?

Solution:

Question 8.

In buying a ready made shirt-two-fifths of my pocket money is spent If Rs. 540 is still left with me, find :

(i) The money I had before I bought the shirt.

(ii) The emit of the shirt

Solution:

Question 9.

Mohan leaves Rs. 1,20,000 to his wife and three children such that two-fifths of this money is given to his wife and the remaining is distributed equally among the children. Find, how much each child gets?

Solution:

Question 10.

Simplify :

Solution:

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