Solve 52/3div3/5

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

Evaluate

$$\frac{85}{9}\approx 9.444444444$$

Solution Steps

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

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

Multiply 5 and 3 to get 15.

$$\frac{\left(15+2\right)\times 5}{3\times 3}$$

Add 15 and 2 to get 17.

$$\frac{17\times 5}{3\times 3}$$

Multiply 17 and 5 to get 85.

$$\frac{85}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{85}{9}$$

Factor

$$\frac{5 \cdot 17}{3 ^ {2}} = 9\frac{4}{9} = 9.444444444444445$$