Solve 0.04div0.1-0.04div0.3

$$0.04 \div 0.1-0.04 \div 0.3$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

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

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

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

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

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

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

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

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

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

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

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

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

Subtract 2 from 6 to get 4.

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

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$