Solve 31/6+21/3+9/3

$$3 \frac{ 1 }{ 6 } +2 \frac{ 1 }{ 3 } + \frac{ 9 }{ 3 }$$

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}+\frac{2\times 3+1}{3}+\frac{9}{3}$$

Add 18 and 1 to get 19.

$$\frac{19}{6}+\frac{2\times 3+1}{3}+\frac{9}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{19}{6}+\frac{6+1}{3}+\frac{9}{3}$$

Add 6 and 1 to get 7.

$$\frac{19}{6}+\frac{7}{3}+\frac{9}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{19}{6} and \frac{7}{3} to fractions with denominator 6.

$$\frac{19}{6}+\frac{14}{6}+\frac{9}{3}$$

Since \frac{19}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$\frac{19+14}{6}+\frac{9}{3}$$

Add 19 and 14 to get 33.

$$\frac{33}{6}+\frac{9}{3}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{2}+\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$\frac{11}{2}+3$$

Convert 3 to fraction \frac{6}{2}.

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

Since \frac{11}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

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

Add 11 and 6 to get 17.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$