Solve 1/6+7/6-2/6

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

Evaluate

$$1$$

Solution Steps

Since \frac{1}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

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

Add 1 and 7 to get 8.

$$\frac{8}{6}-\frac{2}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}-\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

Since \frac{4}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 4 to get 3.

$$\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$