Solve 3/6+8/12+4/6+10/12

$$\frac { 3 } { 6 } + \frac { 8 } { 12 } + \frac { 4 } { 6 } + \frac { 10 } { 12 }$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

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

$$\frac{1}{2}+\frac{8}{12}+\frac{4}{6}+\frac{10}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}+\frac{2}{3}+\frac{4}{6}+\frac{10}{12}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{4}{6}+\frac{4}{6}+\frac{10}{12}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{6}+\frac{4}{6}+\frac{10}{12}$$

Add 3 and 4 to get 7.

$$\frac{7}{6}+\frac{4}{6}+\frac{10}{12}$$

Since \frac{7}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+4}{6}+\frac{10}{12}$$

Add 7 and 4 to get 11.

$$\frac{11}{6}+\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

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

Since \frac{11}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

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

Add 11 and 5 to get 16.

$$\frac{16}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$