Question

if the numerator of a fraction is increased by 1 its value becomes 3 upon 4 if its denominator is increased by 2 its value become 1 upon 2 find the fraction ​

Answer 1

Answer:

The Fraction is $\frac{1}{6}$ .

Step-by-step explanation:

Let numerator of required fraction be x and denominator of required fraction be y.

First condition states that if the numerator of a fraction is increased by 1 its value becomes 3 upon 4 i.e.,

                 ⇒  x + 1 = $\frac{3}{4}$    

                 ⇒  x = $\frac{3}{4}-1$ = $\frac{-1}{4}$

Second condition states that if denominator is increased by 2 its value become 1 upon 2 i.e.,

                  ⇒ y + 2 = $\frac{1}{2}$

                  ⇒ y = $\frac{1}{2}- 2$ = $\frac{-3}{2}$

So, required fraction is = $\frac{x}{y}$ = $\frac{\frac{-1}{4} }{\frac{-3}{2} }$ = $\frac{-1}{4}* \frac{-2}{3}$ = $\frac{1}{6}$ .