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\frac{1}{8}=\frac{3}{5}x
Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.
\frac{3}{5}x=\frac{1}{8}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{8}\times \frac{5}{3}
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
x=\frac{1\times 5}{8\times 3}
Multiply \frac{1}{8} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{5}{24}
Do the multiplications in the fraction \frac{1\times 5}{8\times 3}.