Solve 22/3div12/5

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

Evaluate

$$\frac{40}{21}\approx 1.904761905$$

Solution Steps

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

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

Multiply 2 and 3 to get 6.

$$\frac{\left(6+2\right)\times 5}{3\left(1\times 5+2\right)}$$

Add 6 and 2 to get 8.

$$\frac{8\times 5}{3\left(1\times 5+2\right)}$$

Multiply 8 and 5 to get 40.

$$\frac{40}{3\left(1\times 5+2\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{40}{3\left(5+2\right)}$$

Add 5 and 2 to get 7.

$$\frac{40}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{40}{21}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 \cdot 7} = 1\frac{19}{21} = 1.9047619047619047$$