Solve 9/2/frac{3{11}}

$$\frac { \frac { 9 } { 2 } } { \frac { 3 } { 11 } }$$

Evaluate

$$\frac{33}{2}=16.5$$

Solution Steps

Divide \frac{9}{2} by \frac{3}{11} by multiplying \frac{9}{2} by the reciprocal of \frac{3}{11}.

$$\frac{9}{2}\times \frac{11}{3}$$

Multiply \frac{9}{2} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 11}{2\times 3}$$

Do the multiplications in the fraction \frac{9\times 11}{2\times 3}.

$$\frac{99}{6}$$

Reduce the fraction \frac{99}{6} to lowest terms by extracting and canceling out 3.

$$\frac{33}{2}$$

Factor

$$\frac{3 \cdot 11}{2} = 16\frac{1}{2} = 16.5$$