Question

The denominator of a fraction is greater than its numerator by 18 . If 8 is added to both its numerator and denominator it reduced to 1/13 . Find the fraction?​

Answer 1

Answer:

Fraction = $\frac{1}{19}$

Step-by-step explanation:

Given :-

The denominator of a fraction is greater than its numerator by 18.

If 8 is added to both the numerator and denominator, it is reduced to $\frac{1}{13}$.

To find :-

The fraction.

Solution :-

Let the numerator of the fraction be x, then the denominator will be x + 18.

ATP,

8 is added to the both the numerator and denominator and it is equal to $\frac{1}{13}$.

Hence,

• $\frac{x\;+8}{x\;+18\;+8}$ $= \frac{1}{13}$

$Cross\;multiply$

• $3(x\;+18) = x\;+26$

• $3x\;+24 = x\;+26$

• $2x = 26\;-24$

• $2x = 2$

• $x = 1$

So,

• Numerator (x) = 1
• Denominator (x + 18) = 19
• Fraction = $\frac{x}{x\;+18}$ = $\frac{1}{19}$

Answer 2

Answer:

1/19

Step-by-step explanation:

The denominator of a fraction is greater than its numerator by 18 . If 8 is added to both its numerator and denominator it reduced to 1/13 . Find the fraction?​