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\frac{2}{3}x=\frac{1}{4}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.
x=\frac{1}{4}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{1\times 3}{4\times 2}
Multiply \frac{1}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3}{8}
Do the multiplications in the fraction \frac{1\times 3}{4\times 2}.