Question

the numerator of a fraction is 8 less than the denominator if 3 is added to the numerator the fraction becomes 2 by 3 find the fraction​

Answer 1

Step-by-step explanation:

Let numerator be x-8 and denominator be x

Therefore original fraction becomes x/y.

Now , ATQ

x-8+3/x = 2/3

of x-5/x = 2/3

or 3(x-5) = 2x

or 3x-15 = 2x

or x = 15.....(1)

Therefore, the fraction becomes 15-8/15 or 7/15.

Answer 2

AnswEr :

Let the Denominator be a and, Numerator be (a – 8) of the Fraction :

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$\dashrightarrow \: \:\tt \dfrac{Numerator+3}{Denominator}=\dfrac{2}{3}\\\\\\\dashrightarrow \: \:\tt \dfrac{a-8+3}{a}=\dfrac{2}{3}\\\\\\\dashrightarrow \: \:\tt \dfrac{a-5}{a}=\dfrac{2}{3}\\\\\\\dashrightarrow \: \:\tt (a - 5)3 = 2(a)\\\\\\\dashrightarrow \: \:\tt3a - 15 = 2a\\\\\\\dashrightarrow\:\:\tt3a - 2a = 15\\\\\\\dashrightarrow\:\:\blue{\tt a = 15}$

$\rule{150}{2}$

$\therefore \underline{\boxed{\tt Original\: Fraction=\dfrac{(a-8)}{a}=\dfrac{7}{15}}}$