2/3*5/8

To multiply the fractions \( \frac{2}{3} \) and \( \frac{5}{8} \), you multiply the numerators and the denominators:

\[ \frac{2 \times 5}{3 \times 8} = \frac{10}{24} \]

Now, simplify \( \frac{10}{24} \) by finding the greatest common divisor (GCD) of 10 and 24, which is 2:

\[ \frac{10 \div 2}{24 \div 2} = \frac{5}{12} \]

So, \( \frac{2}{3} \times \frac{5}{8} = \frac{5}{12} \).