Solve 300*2/3/frac{5{2}}

$$\frac { 300 \cdot \frac { 2 } { 3 } } { \frac { 5 } { 2 } }$$

Evaluate

$$80$$

Solution Steps

Express 300\times \frac{2}{3} as a single fraction.

$$\frac{\frac{300\times 2}{3}}{\frac{5}{2}}$$

Multiply 300 and 2 to get 600.

$$\frac{\frac{600}{3}}{\frac{5}{2}}$$

Divide 600 by 3 to get 200.

$$\frac{200}{\frac{5}{2}}$$

Divide 200 by \frac{5}{2} by multiplying 200 by the reciprocal of \frac{5}{2}.

$$200\times \frac{2}{5}$$

Express 200\times \frac{2}{5} as a single fraction.

$$\frac{200\times 2}{5}$$

Multiply 200 and 2 to get 400.

$$\frac{400}{5}$$

Divide 400 by 5 to get 80.

$$80$$

Factor

$$2^{4}\times 5$$