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\frac{5}{24}\times \frac{8}{3}
Divide \frac{5}{24} by \frac{3}{8} by multiplying \frac{5}{24} by the reciprocal of \frac{3}{8}.
\frac{5\times 8}{24\times 3}
Multiply \frac{5}{24} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{40}{72}
Do the multiplications in the fraction \frac{5\times 8}{24\times 3}.
\frac{5}{9}
Reduce the fraction \frac{40}{72} to lowest terms by extracting and canceling out 8.