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