Solve (-3/5+0.8)-(-1/5+0.2)

$$( - \frac { 3 } { 5 } + 0.8 ) - ( - \frac { 1 } { 5 } + 0.2 )$$

Evaluate

$$0.2$$

Solution Steps

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{5}+\frac{4}{5}-\left(-\frac{1}{5}+0.2\right)$$

Since -\frac{3}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{-3+4}{5}-\left(-\frac{1}{5}+0.2\right)$$

Add -3 and 4 to get 1.

$$\frac{1}{5}-\left(-\frac{1}{5}+0.2\right)$$

Add -\frac{1}{5} and 0.2 to get 0.

$$\frac{1}{5}-0$$

Subtract 0 from \frac{1}{5} to get \frac{1}{5}.

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

Factor

$$\frac{1}{5} = 0.2$$