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40\times \frac{5}{4}=w
Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.
\frac{40\times 5}{4}=w
Express 40\times \frac{5}{4} as a single fraction.
\frac{200}{4}=w
Multiply 40 and 5 to get 200.
50=w
Divide 200 by 4 to get 50.
w=50
Swap sides so that all variable terms are on the left hand side.