Solve 12/5+(-4/5)-(-2/5)=

$$1 \frac { 2 } { 5 } + ( - \frac { 4 } { 5 } ) - ( - \frac { 2 } { 5 } ) =$$

Evaluate

$$1$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 2 to get 7.

$$\frac{7}{5}-\frac{4}{5}-\left(-\frac{2}{5}\right)$$

Since \frac{7}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-4}{5}-\left(-\frac{2}{5}\right)$$

Subtract 4 from 7 to get 3.

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

The opposite of -\frac{2}{5} is \frac{2}{5}.

$$\frac{3}{5}+\frac{2}{5}$$

Since \frac{3}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{5}$$

Add 3 and 2 to get 5.

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

Divide 5 by 5 to get 1.

$$1$$

Factor

$$1$$