SOLUTION: If you quadruple one-fifth of a fraction and multiply it by that fraction, it would equal one-fifth. What is the original fraction (simplified)?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If you quadruple one-fifth of a fraction and multiply it by that fraction, it would equal one-fifth. What is the original fraction (simplified)?      Log On


   

Question 1057882: If you quadruple one-fifth of a fraction and multiply it by that fraction, it would equal one-fifth. What is the original fraction (simplified)?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Symbolize your description and calculate. What do you find?

Original fraction, n%2Fd.
4%281%2F5%29%28n%2Fd%29%28n%2Fd%29=1%2F5

%284%2F5%29%28n%2Fd%29%5E2=1%2F5

4%28n%2Fd%29%5E2=1

%28n%2Fd%29%5E2=1%2F4

highlight%28n%2Fd=1%2F2%29