Question

the numerator of of a fraction is 2 less than the denominator. if 3 is added to both the numerator and the denominator, the fraction becomes 3/4 . find the fraction​

Answer 1

Answer:

Refer the attachment to get the answer for your question.

Answer 2

Answer:

The fraction $\dfrac{3}{5}$

Let,

The numerator of a fraction = x

The denominator of a fraction = x + 2

If 3 is added to both

• The numerator of a fraction = x + 3

• The denominator of a fraction = x + 2 + 3

$\longrightarrow$ x + 5

The fraction become 3/4.

★ According to the Question :

$\longrightarrow \: \dfrac{(x+3)}{(x+5)} \: = \: \dfrac{3}{4}$

$\longrightarrow$ 4 (x + 3) = 3 (x + 5)

$\longrightarrow$ 4x + 12 = 3x + 15

$\longrightarrow$ 4x - 3x = 15 - 12

$\longrightarrow$ x = 3

The numerator of a fraction = 3

• The denominator of a fraction = x + 2

$\longrightarrow$ 3 + 2

$\longrightarrow$ 5

The denominator of a fraction = 5

∴ The fraction is $\dfrac{3}{5}$