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3x=\frac{9}{4}\times 2
Multiply both sides by 2.
3x=\frac{9\times 2}{4}
Express \frac{9}{4}\times 2 as a single fraction.
3x=\frac{18}{4}
Multiply 9 and 2 to get 18.
3x=\frac{9}{2}
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.
x=\frac{\frac{9}{2}}{3}
Divide both sides by 3.
x=\frac{9}{2\times 3}
Express \frac{\frac{9}{2}}{3} as a single fraction.
x=\frac{9}{6}
Multiply 2 and 3 to get 6.
x=\frac{3}{2}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.