Question

The numerator of a fraction is 5 less than its denominator. If the numerator is increased by 3 and the denominator is decreased by 1, the new fraction will be 5/6 ? What is the original fraction?

Answer 1

Step-by-step explanation:

let the numerator be x,

therefore, according to the question,

$\frac{(x) + 3}{(x + 5) - 1} = \frac{5}{6 } \\ \frac{x + 3}{x + 4} = \frac{5}{6} \\ 5x + 20 = 6x + 18 \\ x = 2$

So the fraction is

$\frac{2}{7}$