Question

if the numerator of a fraction is increased by 150% And The denominator of the fraction is increased by 300% the resultant fraction is 5/18 what is the original fraction

Answer 1

Let the numerator be x

Let the denominator be y

$\text {Therefore the fraction is }\dfrac{x}{y}$

Find the numerator after the increased:

Increased by 150% = 1.5x

The new numerator = x + 1.5x = 2.5x

Find the denominator after the increased:

Increased by 300% = 3y

New denominator = y + 3y = 4y

$\text {Therefore the fraction is }\dfrac{2.5x}{4y}$

The resultant fraction is 5/18:

$\dfrac{2.5x}{4y} = \dfrac{5}{18}$

$\dfrac{x}{y} \times \dfrac{2.5}{4} = \dfrac{5}{18}$

$\dfrac{x}{y} = \dfrac{5}{18} \div \dfrac{2.5}{4}$

$\dfrac{x}{y} = \dfrac{5}{18} \times \dfrac{4}{2.5}$

$\dfrac{x}{y} = \dfrac{20}{45}$

$\dfrac{x}{y} = \dfrac{4}{9}$

Answer: The original fraction is 4/9