Solve 21/6+1/3+12/6

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

Evaluate

$$\frac{23}{6}\approx 3.833333333$$

Solution Steps

Multiply 2 and 6 to get 12.

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

Add 12 and 1 to get 13.

$$\frac{13}{6}+\frac{1}{3}+\frac{1\times 6+2}{6}$$

Least common multiple of 6 and 3 is 6. Convert \frac{13}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{13}{6}+\frac{2}{6}+\frac{1\times 6+2}{6}$$

Since \frac{13}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{13+2}{6}+\frac{1\times 6+2}{6}$$

Add 13 and 2 to get 15.

$$\frac{15}{6}+\frac{1\times 6+2}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

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

Multiply 1 and 6 to get 6.

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

Add 6 and 2 to get 8.

$$\frac{5}{2}+\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}+\frac{4}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{8}{6}$$

Since \frac{15}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{6}$$

Add 15 and 8 to get 23.

$$\frac{23}{6}$$

Factor

$$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$$