Solve 32/3+21/2=

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

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

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

Add 9 and 2 to get 11.

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

Multiply 2 and 2 to get 4.

$$\frac{11}{3}+\frac{4+1}{2}$$

Add 4 and 1 to get 5.

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

Least common multiple of 3 and 2 is 6. Convert \frac{11}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{22}{6}+\frac{15}{6}$$

Since \frac{22}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{22+15}{6}$$

Add 22 and 15 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$