Solve 0.02div1000*17.3div2*5

$$0.02 \div 1000 \times 17.3 \div 2 \times 5$$

Evaluate

$$0.000865$$

Solution Steps

Expand \frac{0.02}{1000} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{2}{100000}\times 17.3}{2}\times 5$$

Reduce the fraction \frac{2}{100000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{50000}\times 17.3}{2}\times 5$$

Convert decimal number 17.3 to fraction \frac{173}{10}.

$$\frac{\frac{1}{50000}\times \frac{173}{10}}{2}\times 5$$

Multiply \frac{1}{50000} times \frac{173}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 173}{50000\times 10}}{2}\times 5$$

Do the multiplications in the fraction \frac{1\times 173}{50000\times 10}.

$$\frac{\frac{173}{500000}}{2}\times 5$$

Express \frac{\frac{173}{500000}}{2} as a single fraction.

$$\frac{173}{500000\times 2}\times 5$$

Multiply 500000 and 2 to get 1000000.

$$\frac{173}{1000000}\times 5$$

Express \frac{173}{1000000}\times 5 as a single fraction.

$$\frac{173\times 5}{1000000}$$

Multiply 173 and 5 to get 865.

$$\frac{865}{1000000}$$

Reduce the fraction \frac{865}{1000000} to lowest terms by extracting and canceling out 5.

$$\frac{173}{200000}$$

Factor

$$\frac{173}{2 ^ {6} \cdot 5 ^ {5}} = 0.000865$$