SOLUTION: numerator of a fraction is increased by 60%, and at same time denominator is decreased 60% what is the new fraction

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: numerator of a fraction is increased by 60%, and at same time denominator is decreased 60% what is the new fraction      Log On


   

Question 949928: numerator of a fraction is increased by 60%, and at same time denominator is decreased 60% what is the new fraction
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
SEE BELOW FOR "BETTER UNDERSTANDING..."

Original fraction, n%2Fd.
'
New fraction, %281.6%29n%2F%280.6%2Ad%29
%281.6%2F0.6%29%28n%2Fd%29
%2816%2F6%29%28n%2Fd%29
highlight%28%288%2F3%29%28n%2Fd%29%29
OR
highlight%28%282%262%2F3%29%28n%2Fd%29%29

Factor of 1 would be 100% of original.
The factor obtained means about 267% of original.

The new fraction can be expressed as highlight%28%288n%29%2F%283d%29%29.


BETTER UNDERSTANDING HERE:
May have misunderstood your description. If denominator decreased by 60%, then d-%286%2F10%29d=0.4d
which would mean
1.6n%29%2F%280.4d%29
%2816%2F4%29%28n%2Fd%29
highlight%284%28n%2Fd%29%29, the new fraction.