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To multiply fractions, multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together.
The calculation for this problem would be:
(4/5) * (5/8) = (4 * 5) / (5 * 8) = 20/40
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 20.
20/40 simplifies to 1/2.
Therefore, 4/5 times 5/8 is equal to 1/2 in simplest form.