Question

The denominator of a rational number easy greater than its numerator by 8 If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2 find the rational number?​

Answer 1

Answer:

The rational number is 13/21.

Step-by-step explanation:

Let the numerator of fraction be 'x'.

:. The denominator becomes 'x+8'.

By the given condition,

$\frac{x + 17}{x + 8 - 1} = \frac{3}{2} \\ (x + 17)2 = 3(x + 7) \\ 2x + 34 = 3x + 21 \\ 34 - 21 = 3x - 2x \\ 13 = x \\ x = 13$

$the \: originl \: frction \: \\ = \frac{x}{x + 8} \\ \frac{13}{13 + 8} \\ = \frac{13}{21}$