Question

the numerator of a fraction is 8 less than its denominator if 2 is added to both numerator and denominator,fraction becomes 11/19. find the fraction​

Answer 1

Step-by-step explanation:

Hi,

Let the denominator of fraction be X.

Number of fraction = X - 8 .

Fraction = Numerator / Denominator = X - 8 / X.

According to the question,

When 2 is added to both the numerator and denominator then the fraction becomes 11/19.

Therefore,

X - 8 + 2 / X + 2 = 11/19

X - 6 / X + 2 = 11 /19

19 ( X - 6 ) = 11 ( X + 2 ).

19X - 114 = 11X + 22

19X - 11X = 22 + 114

8X = 136

X = 136/8 = 17

Therefore,

Numerator = X - 8 = 17 - 8 = 9

denominator = X = 17

Fraction = Numerator / Denominator= 9/17.

Hope it will help you :)