Solve 31/6-11/3

$$3 \frac { 1 } { 6 } - 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}-\frac{1\times 3+1}{3}$$

Add 18 and 1 to get 19.

$$\frac{19}{6}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{19}{6}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{19}{6}-\frac{4}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{19}{6} and \frac{4}{3} to fractions with denominator 6.

$$\frac{19}{6}-\frac{8}{6}$$

Since \frac{19}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-8}{6}$$

Subtract 8 from 19 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$