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\frac{1}{30}\times \frac{5}{3}
Divide \frac{1}{30} by \frac{3}{5} by multiplying \frac{1}{30} by the reciprocal of \frac{3}{5}.
\frac{1\times 5}{30\times 3}
Multiply \frac{1}{30} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{90}
Do the multiplications in the fraction \frac{1\times 5}{30\times 3}.
\frac{1}{18}
Reduce the fraction \frac{5}{90} to lowest terms by extracting and canceling out 5.