Please answer this question fast ASAP: -

Solution:

Let the numerator be x. 
The denominator will be (x + 8).

According to the question:
$\frac{x+7}{\left(x+8\right)+7}$ $=\frac{3}{4}$
$\frac{x+7}{x+15}=\frac{3}{4}$
$\frac{x+7}{x+15}-\frac{3}{4}=0$
$\frac{4(x +7) - 3( x + 15)}{4(x + 15)} =0$
4x + 28 - 3x - 45 = 0
x = 17

Hence, the numerator = 17
The denominator will be (17 + 8) = 25

The required rational number is $\frac{17}{25}$