Solve (0.14div5-0.01)div0.02

$$(0.14 \div 5-0.01) \div 0.02$$

Evaluate

$$0.9$$

Solution Steps

Expand \frac{0.14}{5} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{14}{500}-0.01}{0.02}$$

Reduce the fraction \frac{14}{500} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{7}{250}-0.01}{0.02}$$

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$\frac{\frac{7}{250}-\frac{1}{100}}{0.02}$$

Least common multiple of 250 and 100 is 500. Convert \frac{7}{250} and \frac{1}{100} to fractions with denominator 500.

$$\frac{\frac{14}{500}-\frac{5}{500}}{0.02}$$

Since \frac{14}{500} and \frac{5}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{14-5}{500}}{0.02}$$

Subtract 5 from 14 to get 9.

$$\frac{\frac{9}{500}}{0.02}$$

Express \frac{\frac{9}{500}}{0.02} as a single fraction.

$$\frac{9}{500\times 0.02}$$

Multiply 500 and 0.02 to get 10.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$