Question 939619
If the numerator of a fraction be decreased by 10% and the denominator be increased by 20%, the fraction becomes 9/20.
 Find the original fraction.
:
{{{(.9n)/(1.2d)}}} = {{{9/20}}}
Cross multiply
18n - 10.8d
n = 10.8/18
n = .6d
Least integer solution that satisfies this n=30; d=50
{{{30/50}}}
{{{(.9*30)/(1.2*50)}}} = {{{27/60}}} reduces to {{{9/20}}}