Solve =6/12+(-8/12)+15/12

$$= \frac { 6 } { 12 } + ( - \frac { 8 } { 12 } ) + \frac { 15 } { 12 }$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{1}{2}-\frac{8}{12}+\frac{15}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}-\frac{2}{3}+\frac{15}{12}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{4}{6}+\frac{15}{12}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{6}+\frac{15}{12}$$

Subtract 4 from 3 to get -1.

$$-\frac{1}{6}+\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{6}+\frac{5}{4}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{1}{6} and \frac{5}{4} to fractions with denominator 12.

$$-\frac{2}{12}+\frac{15}{12}$$

Since -\frac{2}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{-2+15}{12}$$

Add -2 and 15 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$