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\frac{4}{5}\times \frac{5}{8}
Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.
\frac{4\times 5}{5\times 8}
Multiply \frac{4}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{8}
Cancel out 5 in both numerator and denominator.
\frac{1}{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.