Solve (0.4div4-0.2)*6

$$( 0.4 \div 4 - 0.2 ) \times 6$$

Evaluate

$$-0.6$$

Solution Steps

Expand \frac{0.4}{4} by multiplying both numerator and the denominator by 10.

$$\left(\frac{4}{40}-0.2\right)\times 6$$

Reduce the fraction \frac{4}{40} to lowest terms by extracting and canceling out 4.

$$\left(\frac{1}{10}-0.2\right)\times 6$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{1}{10}-\frac{1}{5}\right)\times 6$$

Least common multiple of 10 and 5 is 10. Convert \frac{1}{10} and \frac{1}{5} to fractions with denominator 10.

$$\left(\frac{1}{10}-\frac{2}{10}\right)\times 6$$

Since \frac{1}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-2}{10}\times 6$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{10}\times 6$$

Express -\frac{1}{10}\times 6 as a single fraction.

$$\frac{-6}{10}$$

Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{5}$$

Factor

$$-0.6$$