Solve 0.001-8/10000/0.02

$$\frac{ 0.001- \frac{ 8 }{ 10000 } }{ 0.02 }$$

Evaluate

$$0.01$$

Solution Steps

Reduce the fraction \frac{8}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{0.001-\frac{1}{1250}}{0.02}$$

Convert decimal number 0.001 to fraction \frac{1}{1000}.

$$\frac{\frac{1}{1000}-\frac{1}{1250}}{0.02}$$

Least common multiple of 1000 and 1250 is 5000. Convert \frac{1}{1000} and \frac{1}{1250} to fractions with denominator 5000.

$$\frac{\frac{5}{5000}-\frac{4}{5000}}{0.02}$$

Since \frac{5}{5000} and \frac{4}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-4}{5000}}{0.02}$$

Subtract 4 from 5 to get 1.

$$\frac{\frac{1}{5000}}{0.02}$$

Express \frac{\frac{1}{5000}}{0.02} as a single fraction.

$$\frac{1}{5000\times 0.02}$$

Multiply 5000 and 0.02 to get 100.

$$\frac{1}{100}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5 ^ {2}} = 0.01$$