Question

If 1 is added to numerator value becomes 1÷2 and if 1 is added to denominator it becomes 1÷3then find fraction

Answer 1

Answer:

Fraction =  $\frac{\frac{-1}{2} }{\frac{-2}{3} }$  = $\frac{3}{4}$ .

Step-by-step explanation:

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

First condition states that if 1 is added to numerator of a fraction its value becomes 1 ÷ 2 i.e.,

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

                ⇒  x = $\frac{1}{2} -1$ = $\frac{-1}{2}$

Second condition states that if 1 is added to denominator its value become 1 ÷ 3 i.e.,

                 ⇒ y + 1 = $\frac{1}{3}$

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

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