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\frac{3x}{4}=\frac{300}{500}
Divide both sides by 500.
\frac{3x}{4}=\frac{3}{5}
Reduce the fraction \frac{300}{500} to lowest terms by extracting and canceling out 100.
3x=\frac{3}{5}\times 4
Multiply both sides by 4.
3x=\frac{3\times 4}{5}
Express \frac{3}{5}\times 4 as a single fraction.
3x=\frac{12}{5}
Multiply 3 and 4 to get 12.
x=\frac{\frac{12}{5}}{3}
Divide both sides by 3.
x=\frac{12}{5\times 3}
Express \frac{\frac{12}{5}}{3} as a single fraction.
x=\frac{12}{15}
Multiply 5 and 3 to get 15.
x=\frac{4}{5}
Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.