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\frac{3}{2}=\frac{x}{\frac{1}{3}}
Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.
\frac{x}{\frac{1}{3}}=\frac{3}{2}
Swap sides so that all variable terms are on the left hand side.
x=\frac{3}{2}\times \frac{1}{3}
Multiply both sides by \frac{1}{3}.
x=\frac{3\times 1}{2\times 3}
Multiply \frac{3}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{1}{2}
Cancel out 3 in both numerator and denominator.