Solve 3/2x=9.5

$$\frac{ 3 }{ 2 } x=9.5$$

Solve for x

$$x = \frac{19}{3} = 6\frac{1}{3} \approx 6.333333333$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=9.5\times \frac{2}{3}$$

Convert decimal number 9.5 to fraction \frac{95}{10}. Reduce the fraction \frac{95}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{19}{2}\times \frac{2}{3}$$

Multiply \frac{19}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{19\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$x=\frac{19}{3}$$