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\frac{2}{9}=\frac{1}{2}x
Reduce the fraction \frac{6}{27} to lowest terms by extracting and canceling out 3.
\frac{1}{2}x=\frac{2}{9}
Swap sides so that all variable terms are on the left hand side.
x=\frac{2}{9}\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=\frac{2\times 2}{9}
Express \frac{2}{9}\times 2 as a single fraction.
x=\frac{4}{9}
Multiply 2 and 2 to get 4.