Solve (-1/5-1)*(-2+1/2)

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

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

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

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

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

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

Subtract 5 from -1 to get -6.

$$-\frac{6}{5}\left(-2+\frac{1}{2}\right)$$

Convert -2 to fraction -\frac{4}{2}.

$$-\frac{6}{5}\left(-\frac{4}{2}+\frac{1}{2}\right)$$

Since -\frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$-\frac{6}{5}\times \frac{-4+1}{2}$$

Add -4 and 1 to get -3.

$$-\frac{6}{5}\left(-\frac{3}{2}\right)$$

Multiply -\frac{6}{5} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-6\left(-3\right)}{5\times 2}$$

Do the multiplications in the fraction \frac{-6\left(-3\right)}{5\times 2}.

$$\frac{18}{10}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$