Question

please someone help me out with the question​

Answer 1

Answer:

$\frac{29}{75}$

Step-by-step explanation:

Let the fraction be

$\frac{x - 8}{x}$

therefore the numerator is x- 8 and the denominator is x .

again ,

$\: \: \frac{x - 8 + 1}{x - 2} = \frac{2}{7} \\ = > 7(x - 7) = 2(x - 2) \\ = > 7x - 49 = 2x - 4\\ = > 7x - 5x = - 4 + 49 \\ = > 2x = 45 \\ = > x = \frac{45}{2} = 22.5$

now x= 22.5 which is the denominator

and the numerator =x-8 = 22.5 - 8 = 14.5

therefore the fraction is,

$\frac{14.5}{22.5} \\ = \frac{145}{225} \\ = \frac{29}{75}$