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\frac{125}{1000}x=\frac{36}{100}
Expand \frac{12.5}{100} by multiplying both numerator and the denominator by 10.
\frac{1}{8}x=\frac{36}{100}
Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.
\frac{1}{8}x=\frac{9}{25}
Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.
x=\frac{9}{25}\times 8
Multiply both sides by 8, the reciprocal of \frac{1}{8}.
x=\frac{9\times 8}{25}
Express \frac{9}{25}\times 8 as a single fraction.
x=\frac{72}{25}
Multiply 9 and 8 to get 72.