Question

The denominator of a fraction is 2 more than the numerator.If 1 be added to both the fraction reduces to 4/5.Find the fraction​

Answer 1

Given:

• Denominator of fraction is 2 more than the numerator.
• If 1 is added to both the resulting fraction is 4/5.

To find:

The fraction

Solution:

Let the numerator of the fraction be x.

Then, Denominator=x+2

Therefore, the fraction

$= > \frac{x}{x + 2}$

A/Q

$\frac{x + 1}{x + 2 + 1} = \frac{4}{5}$

$= > \frac{ x + 1}{x + 3} = \frac{4}{5}$

Now, cross multiply

$= > 5(x + 1) = 4(x + 3)$

$= > 5x + 5 = 4x + 12$

$= > 5x - 4x = 12 - 5$

$= > x = 7$

Numerator=x=7

Then, denominator =x+2=7+2=9

Therefore, the fraction is

$= > \frac{7}{9}$