Question

The numerator of the fraction is 4
.
less than its denominator. If 2 is added
to the numerator and denominator
the fraction becomes 5/7. Find the fraction​

Answer 1

Answer:

8/12

Step-by-step explanation:

Let the Denominator be x

Fraction = (x-4)/x ...... —> 1

If 2 is added, then

(x-4+2)/x+2 = 5/7

(x-2)/(x+2) = 5/7

7(x - 2) = 5(x + 2)

7x - 14 = 5x + 10

7x - 5x = 10 + 14

2x = 24

x = 12

Substitue x = 2 in 1

(x-4)/x = 12-4 / 12 = 8/12

Verification:

8+2 /12+2 = 10/14 ÷2 = 5/7

Hope it helps you:)

Answer 2

$\huge {\green {\sf {\underline {\underline{Step-by-step \: Explanation}}}:-}}$

Let the denominator of the fraction be x, then the numerator will be x - 4.

$The \: fraction = \frac{x - 4}{x} \\ According \: to \: the \: question, \\ \frac{x - 4 + 2}{x} = \frac{5}{7} \\ \\ → \frac{x - 2}{x} = \frac{5}{7} \\ \\ → 7x - 14 = 5x \\ \\→7x - 5x = 14 \\ \\ →2x = 14 \\ \\ →x = \frac{14}{2} \\ \\ →x = 7$

Numerator = x - 4 = 7 - 4 = 3,

Denominator = x = 7

$Hence, \: \frac{3}{7} is \: the \: required \: fraction.$

$\large\color{blue}{I \: hope \: this \: answer \: will \: be \: helpful.}$

$\huge\dag\sf\blue{By \: Divyanshu}$