Solve 162/3%div600

$$16 \frac { 2 } { 3 } \% \div 600$$

Evaluate

$$\frac{1}{3600}\approx 0.000277778$$

Solution Steps

Express \frac{\frac{\frac{16\times 3+2}{3}}{100}}{600} as a single fraction.

$$\frac{\frac{16\times 3+2}{3}}{100\times 600}$$

Multiply 16 and 3 to get 48.

$$\frac{\frac{48+2}{3}}{100\times 600}$$

Add 48 and 2 to get 50.

$$\frac{\frac{50}{3}}{100\times 600}$$

Multiply 100 and 600 to get 60000.

$$\frac{\frac{50}{3}}{60000}$$

Express \frac{\frac{50}{3}}{60000} as a single fraction.

$$\frac{50}{3\times 60000}$$

Multiply 3 and 60000 to get 180000.

$$\frac{50}{180000}$$

Reduce the fraction \frac{50}{180000} to lowest terms by extracting and canceling out 50.

$$\frac{1}{3600}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.0002777777777777778$$