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6\times \frac{\frac{1}{15}}{\frac{4}{3}}=x
Multiply both sides of the equation by 6.
6\times \frac{1}{15}\times \frac{3}{4}=x
Divide \frac{1}{15} by \frac{4}{3} by multiplying \frac{1}{15} by the reciprocal of \frac{4}{3}.
6\times \frac{1\times 3}{15\times 4}=x
Multiply \frac{1}{15} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
6\times \frac{3}{60}=x
Do the multiplications in the fraction \frac{1\times 3}{15\times 4}.
6\times \frac{1}{20}=x
Reduce the fraction \frac{3}{60} to lowest terms by extracting and canceling out 3.
\frac{6}{20}=x
Multiply 6 and \frac{1}{20} to get \frac{6}{20}.
\frac{3}{10}=x
Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.
x=\frac{3}{10}
Swap sides so that all variable terms are on the left hand side.