The numerator of a fraction is 3 less then the denominator. If 1 is added to the numerator, the value of the fraction becomes 3/

Question

3 years ago

13

4. find fraction

1 answer:

andrew11 [14] · Answer 1 · 2022-02-08T01:25:38+03:00

The fraction is $\frac{5}{8}$

Step-by-step explanation:

Let,

The denominator of fraction = x

Numerator of fraction = x-3

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

According to given statement;

1 is added to the numerator, the value of the fraction becomes 3/4.

$\frac{x-3+1}{x}=\frac{3}{4}\\\\\frac{x-2}{x}=\frac{3}{4}$

Using cross multiplication

$4(x-2)=3*x\\4x-8=3x\\4x-3x=8\\x=8$

Fraction = $\frac{x-3}{x}=\frac{8-3}{8}=\frac{5}{8}$

Keywords: fraction, division

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