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let the fraction be x/y

x is decrease by 20 %

New numerator is (1-20/100) times x = (1-0.2)x = 0.8 x

y is decreased by 60%

New denominator is (1-60/100) times y = (1-0.6)y = 0.4y

New fraction is 0.8x/0.4y =(0.8/0.4) (x/y) = 2(x/y)

Percentage change in fraction = (change / original ) X100

change in fraction = 2(x/y)-(x/y) = x/y

original fraction = x/y

percentage change = (x/y) / (x/y) times 100 = 1 X 100 = 100%

Fraction increases by 100%

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