Let's assume the original fraction is represented as a/b, where "a" is the numerator and "b" is the denominator.
Decrease the numerator by 60%:
The new numerator, after decreasing it by 60%, will be (1 - 0.6) * a = 0.4a.
Decrease the denominator by 20%:
The new denominator, after decreasing it by 20%, will be (1 - 0.2) * b = 0.8b.
Now, we can calculate the new fraction:
New Fraction = (0.4a) / (0.8b) = 0.4a / (0.8b)
To find the percentage change in the fraction, we can compare it to the original fraction:
Percentage Change = ((New Fraction - Original Fraction) / Original Fraction) * 100
Let's substitute the values:
Percentage Change = ((0.4a / (0.8b) - a / b) / (a / b)) * 100
Simplifying the expression:
Percentage Change = ((0.4a - a) / a) * (b / (0.8b)) * 100
Percentage Change = (0.6a / a) * (1.25) * 100
Percentage Change = 0.6 * 1.25 * 100
Percentage Change = 75%
Therefore, the fraction will change by 75% when the numerator is decreased by 60% and the denominator is decreased by 20%.