Question

The numerator of a fraction is 3 less than its denominator. If we add 1 to both numerator and denominator, it becomes equal to 5/8. Find the fraction. Please give full explanation and write it on a paper​

Answer 1

Explanation:

The numerator of a fraction is 3 less than its denominator.

n = d – 3

if we add 1 to both numerator and denominator it becomes equal to 5/8

$\bold{\frac{n + 1}{d + 1} = \frac{5}{8} }$

Cross multiply

$\bold{8(n+1) = 5(d+1)}$

$\bold{8n + 8 = 5d + 5}$

$\bold{8n = 5d + 5 - 8}$

$\bold{8n = 5d - 3}$

replace n with (d-3),

$\bold{8(d - 3) = 5d - 3}$

$\bold{8d - 24 = 5d - 3}$

$\bold{8d - 5d = - 3 + 24}$

$\bold{3d = 21}$

$\bold{d = \frac{21}{3} }$

$\bold{d = 7}$

Then,

$\bold{n = d - 1}$

$\bold{n = 7 - 1}$

$\bold{n = 6}$

therefore,

$\bold{ \frac{6}{7} \: is \: the \: fraction}$

Answer 2

Answer:

$\huge \tt \: \frac{6}{7} \: is \: the \: answer$