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x=\frac{5}{8}\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{5\times 4}{8\times 3}
Multiply \frac{5}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{20}{24}
Do the multiplications in the fraction \frac{5\times 4}{8\times 3}.
x=\frac{5}{6}
Reduce the fraction \frac{20}{24} to lowest terms by extracting and canceling out 4.