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:
