Solve 42/5div2/3

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

Evaluate

$$\frac{33}{5}=6.6$$

Solution Steps

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

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

Multiply 4 and 5 to get 20.

$$\frac{\left(20+2\right)\times 3}{5\times 2}$$

Add 20 and 2 to get 22.

$$\frac{22\times 3}{5\times 2}$$

Multiply 22 and 3 to get 66.

$$\frac{66}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$\frac{66}{10}$$

Reduce the fraction \frac{66}{10} to lowest terms by extracting and canceling out 2.

$$\frac{33}{5}$$

Factor

$$\frac{3 \cdot 11}{5} = 6\frac{3}{5} = 6.6$$