Solve 11/2div3/4

$$\frac { 11 } { 2 } \div \frac { 3 } { 4 }$$

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Solution Steps

Divide \frac{11}{2} by \frac{3}{4} by multiplying \frac{11}{2} by the reciprocal of \frac{3}{4}.

$$\frac{11}{2}\times \frac{4}{3}$$

Multiply \frac{11}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{11\times 4}{2\times 3}.

$$\frac{44}{6}$$

Reduce the fraction \frac{44}{6} to lowest terms by extracting and canceling out 2.

$$\frac{22}{3}$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$