Multiply 4/5 times 5/8. Write the answer in simplest form.

To multiply fractions, we multiply the numerators together and the denominators together.

The numerator of the product is 4 * 5 = 20.
The denominator of the product is 5 * 8 = 40.

Therefore, the product of 4/5 and 5/8 is 20/40.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 20.

20 ÷ 20 = 1
40 ÷ 20 = 2

Therefore, the simplified form of 4/5 times 5/8 is 1/2.