Question

The numerator of a fraction is 3 less than its denominator. If the numerator is increased by 2 and the denominator by 5 , we get the fraction as 3/4 . Find the fraction. ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\frac{16}{9}$

Step-by-step explanation:

let the denominator be x.

as said numerator is 3 less than the denominator,

the fraction is :

$\frac{x - 3}{x}$

if numerator is increased by 2 and denominator is increased by 5 then the fraction is $\frac{3}{4}$. therefore,

$\frac{x - 3 + 2}{x + 5} = \frac{3}{4} \\ \frac{x - 1}{x + 5} = \frac{3}{4} \\ 4(x - 1) = 3(x + 5) \\ 4x - 4 = 3x + 15 \\ 4x - 3x = 15 + 4 \\ x = 19$

therefore the fraction is,

$\frac{x - 3}{x} = \frac{19 - 3}{19} = \frac{16}{19}$