Question

Find the equivalent fraction of 4 /9 by finding the value of : 4 /9 = 12 /_ = 40 /90 = _/108

Answer 1

Explanation:

Given;

• 4/9 = 12/_ = 40/90 = _/108

Let us take the first number x and second be y

So,

4/9 = 12/x = 40/90 = y/108

Now,

4/9 = 12/x

4x = 12(9)

4x = 108

4x/4 = 108/4

x = 27

Now,

40/90 = y/108

4/9 = y/108

4(108) = 9y

432 = 9y

9y = 432

9y/9 = 432/9

y = 48

Now,

4/9 = 12/x = 40/90 = y/108

4/9 = 12/27 = 40/90 = 48/108 = 0.44