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\frac{3}{25}x=\frac{2.4}{100}
Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.
\frac{3}{25}x=\frac{24}{1000}
Expand \frac{2.4}{100} by multiplying both numerator and the denominator by 10.
\frac{3}{25}x=\frac{3}{125}
Reduce the fraction \frac{24}{1000} to lowest terms by extracting and canceling out 8.
x=\frac{3}{125}\times \frac{25}{3}
Multiply both sides by \frac{25}{3}, the reciprocal of \frac{3}{25}.
x=\frac{3\times 25}{125\times 3}
Multiply \frac{3}{125} times \frac{25}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{25}{125}
Cancel out 3 in both numerator and denominator.
x=\frac{1}{5}
Reduce the fraction \frac{25}{125} to lowest terms by extracting and canceling out 25.