Solve 11/6-3/4+2/3

$$1 \frac { 1 } { 6 } - \frac { 3 } { 4 } + \frac { 2 } { 3 }$$

Evaluate

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

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}-\frac{3}{4}+\frac{2}{3}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}-\frac{3}{4}+\frac{2}{3}$$

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{14}{12}-\frac{9}{12}+\frac{2}{3}$$

Since \frac{14}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-9}{12}+\frac{2}{3}$$

Subtract 9 from 14 to get 5.

$$\frac{5}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{5}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{5}{12}+\frac{8}{12}$$

Since \frac{5}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+8}{12}$$

Add 5 and 8 to get 13.

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

Factor

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