Perform the operation and simplify the answer fully: 1/2 divided by 4/5

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 4/5 is 5/4.

So, 1/2 ÷ 4/5 is equal to (1/2) * (5/4).

Multiply the numerators together (1 * 5) and the denominators together (2 * 4):

(1/2) * (5/4) = 5/8

Therefore, 1/2 ÷ 4/5 simplifies to 5/8.