Solve 1/6+12/3-11/2=

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

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$\frac{1}{6}+\frac{5}{3}-\frac{1\times 2+1}{2}$$

Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{5}{3} to fractions with denominator 6.

$$\frac{1}{6}+\frac{10}{6}-\frac{1\times 2+1}{2}$$

Since \frac{1}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+10}{6}-\frac{1\times 2+1}{2}$$

Add 1 and 10 to get 11.

$$\frac{11}{6}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{11}{6}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{11}{6}-\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{11}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{11}{6}-\frac{9}{6}$$

Since \frac{11}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-9}{6}$$

Subtract 9 from 11 to get 2.

$$\frac{2}{6}$$

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

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$