Solve 32/3+65/6

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

Evaluate

$$\frac{21}{2}=10.5$$

Solution Steps

Multiply 3 and 3 to get 9.

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

Add 9 and 2 to get 11.

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

Multiply 6 and 6 to get 36.

$$\frac{11}{3}+\frac{36+5}{6}$$

Add 36 and 5 to get 41.

$$\frac{11}{3}+\frac{41}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{11}{3} and \frac{41}{6} to fractions with denominator 6.

$$\frac{22}{6}+\frac{41}{6}$$

Since \frac{22}{6} and \frac{41}{6} have the same denominator, add them by adding their numerators.

$$\frac{22+41}{6}$$

Add 22 and 41 to get 63.

$$\frac{63}{6}$$

Reduce the fraction \frac{63}{6} to lowest terms by extracting and canceling out 3.

$$\frac{21}{2}$$

Factor

$$\frac{3 \cdot 7}{2} = 10\frac{1}{2} = 10.5$$