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4\times \frac{1}{6}=x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.
\frac{4}{6}=x
Multiply 4 and \frac{1}{6} 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.