Question

if 2/3 added to a numerator of a certain fraction the fraction will be increased by 1/21 and if 1/2 be taken from its denominator the fraction becomes 2/9. find it

Plz explain step by step​

Answer 1

Answer:

$\large{ \bold{ \frac{3}{14} }}$

Step-by-step explanation:

let the fraction be

$\frac{x}{y}$

Given

$\frac{x + \frac{2}{3} }{y} = \frac{x}{y} + \frac{1}{21}$

$= > \frac{x}{y} + \frac{2}{3y} = \frac{x}{y} + \frac{1}{21}$

$= > \frac{2}{3y} = \frac{1}{21}$

$= > y = 14$

Also.

$\frac{x}{y - \frac{1}{2} } = \frac{2}{9}$

y=14

$= > \frac{x}{14 - \frac{1}{2} } = \frac{2}{9}$

$= > \frac{2x}{27} = \frac{2}{9}$

$= > x = 3$

Therefore the fraction is

$\frac{3}{14}$

Hope it helps

Answer 2

3/14 is the direct answer