Solve 32/3div23/4

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

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

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

Multiply 3 and 3 to get 9.

$$\frac{\left(9+2\right)\times 4}{3\left(2\times 4+3\right)}$$

Add 9 and 2 to get 11.

$$\frac{11\times 4}{3\left(2\times 4+3\right)}$$

Multiply 11 and 4 to get 44.

$$\frac{44}{3\left(2\times 4+3\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{44}{3\left(8+3\right)}$$

Add 8 and 3 to get 11.

$$\frac{44}{3\times 11}$$

Multiply 3 and 11 to get 33.

$$\frac{44}{33}$$

Reduce the fraction \frac{44}{33} to lowest terms by extracting and canceling out 11.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$