Solve 12/3div3/4

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

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Solution Steps

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

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

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$\frac{5\times 4}{3\times 3}$$

Multiply 5 and 4 to get 20.

$$\frac{20}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{20}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$