Solve 3/2/frac{9{2}}

$$\frac{ \frac{ 3 }{ 2 } }{ \frac{ 9 }{ 2 } }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Divide \frac{3}{2} by \frac{9}{2} by multiplying \frac{3}{2} by the reciprocal of \frac{9}{2}.

$$\frac{3}{2}\times \frac{2}{9}$$

Multiply \frac{3}{2} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{2\times 9}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$