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\frac{40}{49}=\frac{20x}{3.92\times 0.1}
Reduce the fraction \frac{80}{98} to lowest terms by extracting and canceling out 2.
\frac{40}{49}=\frac{20x}{0.392}
Multiply 3.92 and 0.1 to get 0.392.
\frac{40}{49}=\frac{2500}{49}x
Divide 20x by 0.392 to get \frac{2500}{49}x.
\frac{2500}{49}x=\frac{40}{49}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{40}{49}}{\frac{2500}{49}}
Divide both sides by \frac{2500}{49}.
x=\frac{40}{49\times \frac{2500}{49}}
Express \frac{\frac{40}{49}}{\frac{2500}{49}} as a single fraction.
x=\frac{40}{2500}
Multiply 49 and \frac{2500}{49} to get 2500.
x=\frac{2}{125}
Reduce the fraction \frac{40}{2500} to lowest terms by extracting and canceling out 20.