Solve 0,4:(-2/5)-(-1/2)*0,4

$$0,4 : ( - \frac { 2 } { 5 } ) - ( - \frac { 1 } { 2 } ) \cdot 0,4$$

Evaluate

$$-0,8$$

Solution Steps

Divide 0,4 by -\frac{2}{5} to get -1.

$$-1-\left(-\frac{1}{2}\times 0,4\right)$$

Convert decimal number 0,4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-1-\left(-\frac{1}{2}\times \frac{2}{5}\right)$$

Multiply -\frac{1}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$-1-\frac{-2}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$-1-\frac{-1}{5}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

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

The opposite of -\frac{1}{5} is \frac{1}{5}.

$$-1+\frac{1}{5}$$

Convert -1 to fraction -\frac{5}{5}.

$$-\frac{5}{5}+\frac{1}{5}$$

Since -\frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{-5+1}{5}$$

Add -5 and 1 to get -4.

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

Factor

$$-0,8$$