Question

The denominator of a certain fraction was 147 greater than its numerator. what was the denominator of this fraction, if after the fraction was reduced it became 5/12 ?

Answer 1

After reducing the fraction it becomes equal to 5/12. Let the common element which was cancelled out be x. So we can say the original fraction was $\frac{5x}{12x}$.

The denominator of the fraction is 147 greater than the numerator. We can write it as:

12x = 147 + 5x

12x - 5x = 147

7x = 147

x = 21

So, the numerator of the fraction was 5 x 21 = 105
Denominator of the fraction was 12 x 21 = 252

So our original fraction was $\frac{105}{252}$