Solve 4/13+3/13+5/13-4/13-frac{8}{13}

$$\frac { 4 } { 13 } + \frac { 3 } { 13 } + \frac { 5 } { 13 } - \frac { 4 } { 13 } - \frac { 8 } { 13 }$$

Evaluate

$$0$$

Solution Steps

Since \frac{4}{13} and \frac{3}{13} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{13}+\frac{5}{13}-\frac{4}{13}-\frac{8}{13}$$

Add 4 and 3 to get 7.

$$\frac{7}{13}+\frac{5}{13}-\frac{4}{13}-\frac{8}{13}$$

Since \frac{7}{13} and \frac{5}{13} have the same denominator, add them by adding their numerators.

$$\frac{7+5}{13}-\frac{4}{13}-\frac{8}{13}$$

Add 7 and 5 to get 12.

$$\frac{12}{13}-\frac{4}{13}-\frac{8}{13}$$

Since \frac{12}{13} and \frac{4}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-4}{13}-\frac{8}{13}$$

Subtract 4 from 12 to get 8.

$$\frac{8}{13}-\frac{8}{13}$$

Subtract \frac{8}{13} from \frac{8}{13} to get 0.

$$0$$

Factor

$$0$$