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\frac{5}{12}\times \frac{21}{10}
Divide \frac{5}{12} by \frac{10}{21} by multiplying \frac{5}{12} by the reciprocal of \frac{10}{21}.
\frac{5\times 21}{12\times 10}
Multiply \frac{5}{12} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{105}{120}
Do the multiplications in the fraction \frac{5\times 21}{12\times 10}.
\frac{7}{8}
Reduce the fraction \frac{105}{120} to lowest terms by extracting and canceling out 15.