Solve (+1/7)+(-2/7)+(+4/7)+(-6/7)

$$( + \frac { 1 } { 7 } ) + ( - \frac { 2 } { 7 } ) + ( + \frac { 4 } { 7 } ) + ( - \frac { 6 } { 7 } )$$

Evaluate

$$-\frac{3}{7}\approx -0.428571429$$

Solution Steps

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

$$\frac{1-2}{7}+\frac{4}{7}-\frac{6}{7}$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{7}+\frac{4}{7}-\frac{6}{7}$$

Since -\frac{1}{7} and \frac{4}{7} have the same denominator, add them by adding their numerators.

$$\frac{-1+4}{7}-\frac{6}{7}$$

Add -1 and 4 to get 3.

$$\frac{3}{7}-\frac{6}{7}$$

Since \frac{3}{7} and \frac{6}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-6}{7}$$

Subtract 6 from 3 to get -3.

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

Factor

$$-\frac{3}{7} = -0.42857142857142855$$