Solve (0.04/0.1-0.04/0.3)div0.5

$$( \frac{ 0.04 }{ 0.1 } - \frac{ 0.04 }{ 0.3 } ) \div 0.5$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Expand \frac{0.04}{0.1} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{4}{10}-\frac{0.04}{0.3}}{0.5}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{5}-\frac{0.04}{0.3}}{0.5}$$

Expand \frac{0.04}{0.3} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{2}{5}-\frac{4}{30}}{0.5}$$

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{5}-\frac{2}{15}}{0.5}$$

Least common multiple of 5 and 15 is 15. Convert \frac{2}{5} and \frac{2}{15} to fractions with denominator 15.

$$\frac{\frac{6}{15}-\frac{2}{15}}{0.5}$$

Since \frac{6}{15} and \frac{2}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{6-2}{15}}{0.5}$$

Subtract 2 from 6 to get 4.

$$\frac{\frac{4}{15}}{0.5}$$

Express \frac{\frac{4}{15}}{0.5} as a single fraction.

$$\frac{4}{15\times 0.5}$$

Multiply 15 and 0.5 to get 7.5.

$$\frac{4}{7.5}$$

Expand \frac{4}{7.5} by multiplying both numerator and the denominator by 10.

$$\frac{40}{75}$$

Reduce the fraction \frac{40}{75} to lowest terms by extracting and canceling out 5.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$