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31.6\times \frac{100}{13}
Divide 31.6 by \frac{13}{100} by multiplying 31.6 by the reciprocal of \frac{13}{100}.
\frac{158}{5}\times \frac{100}{13}
Convert decimal number 31.6 to fraction \frac{316}{10}. Reduce the fraction \frac{316}{10} to lowest terms by extracting and canceling out 2.
\frac{158\times 100}{5\times 13}
Multiply \frac{158}{5} times \frac{100}{13} by multiplying numerator times numerator and denominator times denominator.
\frac{15800}{65}
Do the multiplications in the fraction \frac{158\times 100}{5\times 13}.
\frac{3160}{13}
Reduce the fraction \frac{15800}{65} to lowest terms by extracting and canceling out 5.