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\frac{10\times 12}{21\times 25}\times \frac{7}{8}
Multiply \frac{10}{21} times \frac{12}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{120}{525}\times \frac{7}{8}
Do the multiplications in the fraction \frac{10\times 12}{21\times 25}.
\frac{8}{35}\times \frac{7}{8}
Reduce the fraction \frac{120}{525} to lowest terms by extracting and canceling out 15.
\frac{8\times 7}{35\times 8}
Multiply \frac{8}{35} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{35}
Cancel out 8 in both numerator and denominator.
\frac{1}{5}
Reduce the fraction \frac{7}{35} to lowest terms by extracting and canceling out 7.