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\frac{x}{100}=\frac{200}{600}
Divide both sides by 600.
\frac{x}{100}=\frac{1}{3}
Reduce the fraction \frac{200}{600} to lowest terms by extracting and canceling out 200.
x=\frac{1}{3}\times 100
Multiply both sides by 100.
x=\frac{100}{3}
Multiply \frac{1}{3} and 100 to get \frac{100}{3}.