What should be added in numerator and denominator of fraction 5/13 so

1.	What should be added in numerator and denominator of fraction 5/13 so that the fraction become 3/5 ?
Answer» Let the required number be x. Then, according to question, \(\frac{5+x}{13+x} = \frac{3}{5}\) ⇒ 5(5 + x) = 3(13 + x) ⇒ 25 + 5x = 39 + 3x ⇒ 5x – 3x = 39 – 25 ⇒ 2x = 14 ⇒ x = 14/2 ⇒ x = 7 Hence, the required number be 7.

What should be added in numerator and denominator of fraction 5/13 so that the fraction become 3/5 ?

Answer»

Let the required number be x.

Then, according to question,

\(\frac{5+x}{13+x} = \frac{3}{5}\)

⇒ 5(5 + x) = 3(13 + x)

⇒ 25 + 5x = 39 + 3x

⇒ 5x – 3x = 39 – 25

⇒ 2x = 14

⇒ x = 14/2

⇒ x = 7

Hence, the required number be 7.