Solve 5/7+(-1/7)-(-2/7)

$$\frac{ 5 }{ 7 } +(- \frac{ 1 }{ 7 } )-(- \frac{ 2 }{ 7 } )$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Since \frac{5}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1}{7}-\left(-\frac{2}{7}\right)$$

Subtract 1 from 5 to get 4.

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

The opposite of -\frac{2}{7} is \frac{2}{7}.

$$\frac{4}{7}+\frac{2}{7}$$

Since \frac{4}{7} and \frac{2}{7} have the same denominator, add them by adding their numerators.

$$\frac{4+2}{7}$$

Add 4 and 2 to get 6.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$