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x\times 2\times \frac{1}{3}=\frac{14}{9}
Anything divided by one gives itself.
x\times \frac{2}{3}=\frac{14}{9}
Multiply 2 and \frac{1}{3} to get \frac{2}{3}.
x=\frac{14}{9}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{14\times 3}{9\times 2}
Multiply \frac{14}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{42}{18}
Do the multiplications in the fraction \frac{14\times 3}{9\times 2}.
x=\frac{7}{3}
Reduce the fraction \frac{42}{18} to lowest terms by extracting and canceling out 6.