Question

The denominator of a fraction is 4 more than its numerator. On subtracting 1 from each numerator and the denominator, the fraction becomes 1/2 Find the original fraction. ​

Answer 1

Answer:

The original fraction is  $\frac{5}{9}$ .

Step-by-step explanation:

Let the numerator of the fraction be $x$.

Since the denominator is four more than the numerator, we have to add four to $x$ .

$Denominator =x+4$

Also, on subtracting 1 from numerator and denominator, the fraction becomes $\frac{1}{2}$ .

Thus we have,

$\implies \dfrac{x-1}{x+4-1}=\dfrac{1}{2} \\\\\\\implies \dfrac{x-1}{x+3} =\dfrac{1}{2} \\\\\implies 2(x-1)=x+3\\\\\implies 2x-2=x+3\\\\\implies 2x-x=3+2\\\\\implies x=5$

Thus the original fraction is $\frac{5}{9}$ .