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

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

Evaluate

$$3$$

Solution Steps

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

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

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

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

Cancel out 2 in both numerator and denominator.

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

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$