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

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

Evaluate

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

Solution Steps

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

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

Subtract 1 from -2 to get -3.

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

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

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

Subtract 3 from -3 to get -6.

$$-\frac{6}{7}+\frac{4}{7}$$

Since -\frac{6}{7} and \frac{4}{7} have the same denominator, add them by adding their numerators.

$$\frac{-6+4}{7}$$

Add -6 and 4 to get -2.

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

Factor

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