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\frac{1}{25}=40x
Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.
40x=\frac{1}{25}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{1}{25}}{40}
Divide both sides by 40.
x=\frac{1}{25\times 40}
Express \frac{\frac{1}{25}}{40} as a single fraction.
x=\frac{1}{1000}
Multiply 25 and 40 to get 1000.