The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction

The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction

Answers

Let denominator be x

Therefore numerator = x – 3

The fraction is $\frac{x - 3}{x}$

When both numerators and denominators are increased by 5,

$\frac{x – 3 + 5}{x + 5}$ = $\frac{5}{6}$

$\frac{x + 2}{x + 5}$ = $\frac{5}{6}$

6x + 12 = 5x + 25; x = 13

Original fraction is $\frac{10}{13}$

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johnmulu answered the question on March 6, 2017 at 05:30

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