Solve 31/30-22/30+11/30

$$\frac { 31 } { 30 } - \frac { 22 } { 30 } + \frac { 11 } { 30 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Since \frac{31}{30} and \frac{22}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-22}{30}+\frac{11}{30}$$

Subtract 22 from 31 to get 9.

$$\frac{9}{30}+\frac{11}{30}$$

Since \frac{9}{30} and \frac{11}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+11}{30}$$

Add 9 and 11 to get 20.

$$\frac{20}{30}$$

Reduce the fraction \frac{20}{30} to lowest terms by extracting and canceling out 10.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$