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\frac{52.5}{\frac{7\times 10}{100}}
Express \frac{7}{100}\times 10 as a single fraction.
\frac{52.5}{\frac{70}{100}}
Multiply 7 and 10 to get 70.
\frac{52.5}{\frac{7}{10}}
Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.
52.5\times \frac{10}{7}
Divide 52.5 by \frac{7}{10} by multiplying 52.5 by the reciprocal of \frac{7}{10}.
\frac{105}{2}\times \frac{10}{7}
Convert decimal number 52.5 to fraction \frac{525}{10}. Reduce the fraction \frac{525}{10} to lowest terms by extracting and canceling out 5.
\frac{105\times 10}{2\times 7}
Multiply \frac{105}{2} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{1050}{14}
Do the multiplications in the fraction \frac{105\times 10}{2\times 7}.
75
Divide 1050 by 14 to get 75.