Solve -1/7+2/7-3/7+4/7

$$- \frac { 1 } { 7 } + \frac { 2 } { 7 } - \frac { 3 } { 7 } + \frac { 4 } { 7 }$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Since -\frac{1}{7} and \frac{2}{7} have the same denominator, add them by adding their numerators.

$$\frac{-1+2}{7}-\frac{3}{7}+\frac{4}{7}$$

Add -1 and 2 to get 1.

$$\frac{1}{7}-\frac{3}{7}+\frac{4}{7}$$

Since \frac{1}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-3}{7}+\frac{4}{7}$$

Subtract 3 from 1 to get -2.

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

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

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

Add -2 and 4 to get 2.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$