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\frac{2}{5}\times \frac{8}{15}
Divide \frac{2}{5} by \frac{15}{8} by multiplying \frac{2}{5} by the reciprocal of \frac{15}{8}.
\frac{2\times 8}{5\times 15}
Multiply \frac{2}{5} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.
\frac{16}{75}
Do the multiplications in the fraction \frac{2\times 8}{5\times 15}.