Discussion Forum

If the numerator of a fraction is increased by 140% and the denominator is increased by 150% ,the resultant fraction is 4/15.What is the original fraction?

Answer:

Explanation:

Let the required fraction be $\frac{x}{y}$

Resultant fraction = $\frac{x+\left(x \times \frac{140}{100}\right)}{100} \div \frac{y+\left(y \times \frac{150}{100}\right)}{100}$

$=\frac{4}{15}$

$\frac{x}{y} = \left(\frac{4}{15}\right)\times \left(\frac{25}{24}\right)$

$= \frac{5}{18}$