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\frac{2\times 7}{3}x=\frac{1}{9}
Express \frac{2}{3}\times 7 as a single fraction.
\frac{14}{3}x=\frac{1}{9}
Multiply 2 and 7 to get 14.
x=\frac{1}{9}\times \frac{3}{14}
Multiply both sides by \frac{3}{14}, the reciprocal of \frac{14}{3}.
x=\frac{1\times 3}{9\times 14}
Multiply \frac{1}{9} times \frac{3}{14} by multiplying numerator times numerator and denominator times denominator.
x=\frac{3}{126}
Do the multiplications in the fraction \frac{1\times 3}{9\times 14}.
x=\frac{1}{42}
Reduce the fraction \frac{3}{126} to lowest terms by extracting and canceling out 3.