Find the equivalent fraction of 36/48 with
(a) numerator 9
(b) denominator 4

Solution:

We use the concepts of fractions and equivalent fractions to answer the given questions.

Fractions that have the same values irrespective of their numerators and denominators are called equivalent fractions.

(a) numerator 9.

Here, we need an equivalent fraction that has 9 in the numerator. We will reduce the fraction 36 / 48 by dividing both the numerator and the denominator by 4 to get the numerator 9.
36 / 48 ÷ 4 / 4 = 9 / 12. 
∴ By reducing the fraction and dividing both the numerator and the denominator by 4 to get the desired numerator 9, we get the required fraction.

(b) denominator 4.

Here, we need an equivalent fraction that has 4 in the denominator. We will reduce the fraction 36 / 48 by dividing both the numerator and the denominator by 12 to get the denominator 4.
36 / 48 ÷ 12/ 12 = 3 / 4. 
∴ By reducing the fraction and dividing both the numerator and the denominator by 12 to get the desired denominator 4, we get the required fraction.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.3 Question 5

Find the equivalent fraction of 36/48 with (a) numerator 9 (b) denominator 4

Summary:

The equivalent fractions of 36/48 having (a) numerator 9 and (b) denominator 4 are (a) 9/12 and (b) 3/4 respectively.

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