SOLUTION: 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.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 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.      Log On


   

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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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.
:
%28.9n%29%2F%281.2d%29 = 9%2F20
Cross multiply
18n - 10.8d
n = 10.8/18
n = .6d
Least integer solution that satisfies this n=30; d=50
30%2F50
%28.9%2A30%29%2F%281.2%2A50%29 = 27%2F60 reduces to 9%2F20