Solve 32/3+11/6=

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

Evaluate

$$\frac{29}{6}\approx 4.833333333$$

Solution Steps

Multiply 3 and 3 to get 9.

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

Add 9 and 2 to get 11.

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

Multiply 1 and 6 to get 6.

$$\frac{11}{3}+\frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{11}{3}+\frac{7}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{11}{3} and \frac{7}{6} to fractions with denominator 6.

$$\frac{22}{6}+\frac{7}{6}$$

Since \frac{22}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$\frac{22+7}{6}$$

Add 22 and 7 to get 29.

$$\frac{29}{6}$$

Factor

$$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4.833333333333333$$