Question

What should be added to 1/4 to get 4/9?​

Answer 1

Answer:

Let the number that should be added to be x.

therefore 1/4 + x = 4/9

=> x = 4/9 – 1/4

LCMof 9 and 4 = 9 × 4 = 36

=> x = (4 × 4)/(9 × 4) – (1 × 9)/(4 × 9)

=> x = 16/36 – 9/36

=> x = 7/36

So, 7/36 must be added to 1/4 to get 4/9.

Answer 2

According to the question

$= \frac{1}{4} + x = \frac{4}{9} \\ \\ = x = \frac{4}{9} - \frac{1}{4} \\ \\ = x = \frac{4 \times 4 -1 \times 9 }{36} \\ \\ = x = \frac{16 - 9}{36} \\ \\ = x = \frac{7}{36}$