Solve 51/2div3/4

$$5 \frac { 1 } { 2 } \div \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Divide \frac{5\times 2+1}{2} by \frac{3}{4} by multiplying \frac{5\times 2+1}{2} by the reciprocal of \frac{3}{4}.

$$\frac{\left(5\times 2+1\right)\times 4}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(1+2\times 5\right)}{3}$$

Multiply 2 and 5 to get 10.

$$\frac{2\left(1+10\right)}{3}$$

Add 1 and 10 to get 11.

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

Multiply 2 and 11 to get 22.

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

Factor

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