By what percent will a fraction change if its numerator is decreased by 10% and its denominator is decreased by 50%?
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2 answers

Fraction = n.
n*0.9/0.5 = 1.8n.
1.8n/n = 1.8 = 180%,
Change = 180%  100% = 80%. 👍
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answered by Henry 
let the original fraction be n/d
new fraction is .9n/.5d or 9n/5d
change = 9n/5d  n/d
= 9n/5d  5m/5d
= 4n/5d
percentage change = (4n/5d) / n/d
= 4/5 = 80%
illustration:
suppose our original fraction was 5/8
new fraction = .9(5)/4 = 45/40 or 9/8
change = 9/85/8 = 1/2
percentage change = (1/2) / (5/8) = 4/5 = .8 = 80% 👍
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answered by Reiny
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