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k=x\times \frac{8}{25}
Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.
x\times \frac{8}{25}=k
Swap sides so that all variable terms are on the left hand side.
\frac{8}{25}x=k
The equation is in standard form.
\frac{\frac{8}{25}x}{\frac{8}{25}}=\frac{k}{\frac{8}{25}}
Divide both sides of the equation by \frac{8}{25}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{k}{\frac{8}{25}}
Dividing by \frac{8}{25} undoes the multiplication by \frac{8}{25}.
x=\frac{25k}{8}
Divide k by \frac{8}{25} by multiplying k by the reciprocal of \frac{8}{25}.
k=x\times \frac{8}{25}
Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.