Solve 31/6+2+21/3

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

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Multiply 3 and 6 to get 18.

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

Add 18 and 1 to get 19.

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

Convert 2 to fraction \frac{12}{6}.

$$\frac{19}{6}+\frac{12}{6}+\frac{2\times 3+1}{3}$$

Since \frac{19}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.

$$\frac{19+12}{6}+\frac{2\times 3+1}{3}$$

Add 19 and 12 to get 31.

$$\frac{31}{6}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{31}{6}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{31}{6}+\frac{7}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{31}{6} and \frac{7}{3} to fractions with denominator 6.

$$\frac{31}{6}+\frac{14}{6}$$

Since \frac{31}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$\frac{31+14}{6}$$

Add 31 and 14 to get 45.

$$\frac{45}{6}$$

Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$