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4\times \frac{5}{8}=x
Multiply both sides by \frac{5}{8}, the reciprocal of \frac{8}{5}.
\frac{4\times 5}{8}=x
Express 4\times \frac{5}{8} as a single fraction.
\frac{20}{8}=x
Multiply 4 and 5 to get 20.
\frac{5}{2}=x
Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.
x=\frac{5}{2}
Swap sides so that all variable terms are on the left hand side.