Solve 32/3+15/6+2

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

Evaluate

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

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+2}{3}+\frac{1\times 6+5}{6}+2$$

Add 9 and 2 to get 11.

$$\frac{11}{3}+\frac{1\times 6+5}{6}+2$$

Multiply 1 and 6 to get 6.

$$\frac{11}{3}+\frac{6+5}{6}+2$$

Add 6 and 5 to get 11.

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

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

$$\frac{22}{6}+\frac{11}{6}+2$$

Since \frac{22}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{22+11}{6}+2$$

Add 22 and 11 to get 33.

$$\frac{33}{6}+2$$

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

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

Convert 2 to fraction \frac{4}{2}.

$$\frac{11}{2}+\frac{4}{2}$$

Since \frac{11}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{11+4}{2}$$

Add 11 and 4 to get 15.

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

Factor

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