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3x=\frac{9}{11}\times 5
Multiply both sides by 5.
3x=\frac{9\times 5}{11}
Express \frac{9}{11}\times 5 as a single fraction.
3x=\frac{45}{11}
Multiply 9 and 5 to get 45.
x=\frac{\frac{45}{11}}{3}
Divide both sides by 3.
x=\frac{45}{11\times 3}
Express \frac{\frac{45}{11}}{3} as a single fraction.
x=\frac{45}{33}
Multiply 11 and 3 to get 33.
x=\frac{15}{11}
Reduce the fraction \frac{45}{33} to lowest terms by extracting and canceling out 3.