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\frac{10}{9}=\frac{x}{\pi }
Reduce the fraction \frac{200}{180} to lowest terms by extracting and canceling out 20.
\frac{x}{\pi }=\frac{10}{9}
Swap sides so that all variable terms are on the left hand side.
\frac{1}{\pi }x=\frac{10}{9}
The equation is in standard form.
\frac{\frac{1}{\pi }x\pi }{1}=\frac{\frac{10}{9}\pi }{1}
Divide both sides by \pi ^{-1}.
x=\frac{\frac{10}{9}\pi }{1}
Dividing by \pi ^{-1} undoes the multiplication by \pi ^{-1}.
x=\frac{10\pi }{9}
Divide \frac{10}{9} by \pi ^{-1}.