By how much is 60% of 80 greater than \(\frac{2}{5}\) of 55?

Concept: To find a percentage of a number, multiply the number by (percentage divided by 100); to find a fraction of a number, multiply the number by that fraction. When a question asks how much one such quantity is greater than another, it is asking for their difference: difference = larger quantity minus smaller quantity.

1. Compute 60% of 80: 60% of 80 = (60/100) x 80 = 48.

2. Compute 2/5 of 55: 2/5 of 55 = (2/5) x 55 = 22.

3. Find the difference: 48 - 22 = 26.

Cross-check: 60% is the same as the fraction 3/5, and (3/5) x 80 = 48, which confirms the first value. Also, 55 divided by 5 = 11, so 2/5 of 55 = 2 x 11 = 22, confirming the second value. Hence the difference 48 - 22 = 26 is verified by an independent method.

Therefore, 60% of 80 is greater than 2/5 of 55 by 26.