Solve 8+1/2-12+11/12

$$\frac { 8 + 1 } { 2 } - \frac { 12 + 11 } { 12 }$$

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{12+11}{12}$$

Add 12 and 11 to get 23.

$$\frac{9}{2}-\frac{23}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{9}{2} and \frac{23}{12} to fractions with denominator 12.

$$\frac{54}{12}-\frac{23}{12}$$

Since \frac{54}{12} and \frac{23}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-23}{12}$$

Subtract 23 from 54 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3} = 2\frac{7}{12} = 2.5833333333333335$$