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x=9\times \frac{\frac{5}{2}}{\frac{3}{7}}
Multiply both sides of the equation by 9.
x=9\times \frac{5}{2}\times \frac{7}{3}
Divide \frac{5}{2} by \frac{3}{7} by multiplying \frac{5}{2} by the reciprocal of \frac{3}{7}.
x=9\times \frac{5\times 7}{2\times 3}
Multiply \frac{5}{2} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.
x=9\times \frac{35}{6}
Do the multiplications in the fraction \frac{5\times 7}{2\times 3}.
x=\frac{9\times 35}{6}
Express 9\times \frac{35}{6} as a single fraction.
x=\frac{315}{6}
Multiply 9 and 35 to get 315.
x=\frac{105}{2}
Reduce the fraction \frac{315}{6} to lowest terms by extracting and canceling out 3.