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\frac{2}{5}x=100
Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.
x=100\times \frac{5}{2}
Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.
x=\frac{100\times 5}{2}
Express 100\times \frac{5}{2} as a single fraction.
x=\frac{500}{2}
Multiply 100 and 5 to get 500.
x=250
Divide 500 by 2 to get 250.