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\frac{5}{9}\times \frac{8}{13}
Divide \frac{5}{9} by \frac{13}{8} by multiplying \frac{5}{9} by the reciprocal of \frac{13}{8}.
\frac{5\times 8}{9\times 13}
Multiply \frac{5}{9} times \frac{8}{13} by multiplying numerator times numerator and denominator times denominator.
\frac{40}{117}
Do the multiplications in the fraction \frac{5\times 8}{9\times 13}.