## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.1

Question 1.

What fraction of each of the following figure is shaded?

Solution:

(i) Fraction is \(\frac { 2 }{ 8 }\) = \(\frac { 1 }{ 4 }\)

(ii) Fraction is \(\frac { 3 }{ 10 }\)

(iii) Fraction is \(\frac { 5 }{ 12 }\)

(iv) Fraction is \(\frac { 7 }{ 13 }\)

Question 2.

What fraction of an hour is 35 minutes?

Solution:

(i) 1 hour = 60 minutes

Fraction = \(\frac { 35 }{ 60 }\) = \(\frac { 7 }{ 12 }\)

Question 3.

Convert the following fractions into improper fractions :

(i) 2\(\frac { 7 }{ 9 }\)

(ii) 5\(\frac { 4 }{ 11 }\)

Solution:

Question 4.

Convert the following fractions into mixed fractions:

(i) \(\frac { 73 }{ 8 }\)

(ii) \(\frac { 94 }{ 13 }\)

Solution:

Question 5.

Fill in the missing numbers in the following equivalent fractions:

(i) \(\frac { 3 }{ 7 }\) = \(\frac { …. }{ 35 }\)

(ii) \(\frac { 5 }{ …. }\) = \(\frac { 30 }{ 18 }\)

(iii) \(\frac { ….. }{ 9 }\) = \(\frac { 56 }{ 72 }\)

Solution

(i) \(\frac { 3 }{ 7 }\) = \(\frac { …. }{ 35 }\)

The denominator in the second fraction is 35.

To get 35 from 7, we have to multiply 7 by 5.

(ii) \(\frac { 5 }{ …. }\) = \(\frac { 30 }{ 18 }\)

To make both fractions equal, we multiply the numerator of the first fraction by 5.

The numerator itx the first fraction is 5. To get 5 from 30, we have to divide 30 ÷ 6.

To make both fractions equal, we divide denominator of the second fraction by 6.

(iii) \(\frac { ….. }{ 9 }\) = \(\frac { 56 }{ 72 }\)

The denominator in the second fraction is 72 and the denominator in the first fraction is 9.

To get 9 from 72, we have to divide 72 ÷ 8

To make both fractions equal, we divide the numerator of the second fraction by 8.

Question 6.

Reduce the following fractions to their simplest form:

(i) \(\frac { 48 }{ 72 }\)

(ii) \(\frac { 276 }{ 115 }\)

(iii) \(\frac { 72 }{ 336 }\)

Solution:

Question 7.

Convert the following fractions into equivalent like fractions:

Solution:

Question 8.

Arrange the given fractions in descending order:

Solution:

Question 9.

Arrange the given fractions in ascending order:

Solution: