Solve 5-1,2/-2*0,2

$$5 - \frac { 1,2 } { - 2 } \times 0,2$$

Evaluate

$$5,12$$

Solution Steps

Expand \frac{1,2}{-2} by multiplying both numerator and the denominator by 10.

$$5-\frac{12}{-20}\times 0,2$$

Reduce the fraction \frac{12}{-20} to lowest terms by extracting and canceling out 4.

$$5-\left(-\frac{3}{5}\times 0,2\right)$$

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.

$$5-\left(-\frac{3}{5}\times \frac{1}{5}\right)$$

Multiply -\frac{3}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-3}{5\times 5}.

$$5-\frac{-3}{25}$$

Fraction \frac{-3}{25} can be rewritten as -\frac{3}{25} by extracting the negative sign.

$$5-\left(-\frac{3}{25}\right)$$

The opposite of -\frac{3}{25} is \frac{3}{25}.

$$5+\frac{3}{25}$$

Convert 5 to fraction \frac{125}{25}.

$$\frac{125}{25}+\frac{3}{25}$$

Since \frac{125}{25} and \frac{3}{25} have the same denominator, add them by adding their numerators.

$$\frac{125+3}{25}$$

Add 125 and 3 to get 128.

$$\frac{128}{25}$$

Factor

$$\frac{2 ^ {7}}{5 ^ {2}} = 5\frac{3}{25} = 5.12$$