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\frac{x}{\frac{20}{3}}=\frac{4}{3\times 16}
Express \frac{\frac{4}{3}}{16} as a single fraction.
\frac{x}{\frac{20}{3}}=\frac{4}{48}
Multiply 3 and 16 to get 48.
\frac{x}{\frac{20}{3}}=\frac{1}{12}
Reduce the fraction \frac{4}{48} to lowest terms by extracting and canceling out 4.
x=\frac{1}{12}\times \frac{20}{3}
Multiply both sides by \frac{20}{3}.
x=\frac{1\times 20}{12\times 3}
Multiply \frac{1}{12} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{20}{36}
Do the multiplications in the fraction \frac{1\times 20}{12\times 3}.
x=\frac{5}{9}
Reduce the fraction \frac{20}{36} to lowest terms by extracting and canceling out 4.