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75x=\frac{5}{6}\times 9
Multiply both sides by 9.
75x=\frac{5\times 9}{6}
Express \frac{5}{6}\times 9 as a single fraction.
75x=\frac{45}{6}
Multiply 5 and 9 to get 45.
75x=\frac{15}{2}
Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.
x=\frac{\frac{15}{2}}{75}
Divide both sides by 75.
x=\frac{15}{2\times 75}
Express \frac{\frac{15}{2}}{75} as a single fraction.
x=\frac{15}{150}
Multiply 2 and 75 to get 150.
x=\frac{1}{10}
Reduce the fraction \frac{15}{150} to lowest terms by extracting and canceling out 15.