Question

The numerator of fraction is one less than its denominator. If the numerator is increased

by 4 and the denominator is increased by 5, the new fraction becomes equivalent to 4/5What is the original fraction?​

Answer 1

Answer:

Let the denominator be ×

Numerator be x-1

Let the new fraction be

$\frac{ x - 1 + 4 }{x + 5} = \frac{4}{5} \\ \\ \frac{x + 3}{x + 5} = \frac{4}{5} \\ \\ 4(x + 5) = 5(x + 3) \\ \\ 4x + 20 = 5x + 15 \\ \\ 5x - 4x = 20- 15 \\ \\ x = 5$

$original \: fraction \: = \frac{x - 1}{x} \\ = \frac{4}{5}$