By what percent change if the numerator is decreased by 10% and the denominator is decreased by 70%

Question

Mathematics

Aydan

30 April, 09:16

By what percent change if the numerator is decreased by 10% and the denominator is decreased by 70%

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Answers (1)

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Alaina · Answer 1

It increases x3.

Step-by-step explanation:

Let's say the fraction to begin with was 100/100. Ignore the fact that it isn't fully reduced and it is an improper fraction.

10% of 100 is 10, so the numerator is now 90 (decrease=get smaller; 100-10=90).

70% of 100 is 70, so the denominator is now 30 (decrease=get smaller; 100-70=30).

Our fraction is now 90/30 which, when fully reduced, equals 3.00. Since 100/100 equals 1.00, it has increased by 2.00 (3x bigger).