MATH SOLVE

4 months ago

Q:
# By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?PLEASE HELP THE ANSWER IS NOT 70%

Accepted Solution

A:

lets find out...

our fraction is 1/2.....

when the numerator is increased by 20%......1 + 0.20(1) = 1.2

when the denominator is increased by 50%....2 + 0.50(2) = 3

1/2 = 0.5....original fraction

1.2 / 3 = 0.4.....increased fraction

decrease = (original number - new number) / original number...* 100

= (0.5 - 0.4) / 0.5...* 100

= (0.1 / 0.5)....* 100

= 0.2 * 100

= 20% decrease <====

our fraction is 1/2.....

when the numerator is increased by 20%......1 + 0.20(1) = 1.2

when the denominator is increased by 50%....2 + 0.50(2) = 3

1/2 = 0.5....original fraction

1.2 / 3 = 0.4.....increased fraction

decrease = (original number - new number) / original number...* 100

= (0.5 - 0.4) / 0.5...* 100

= (0.1 / 0.5)....* 100

= 0.2 * 100

= 20% decrease <====