Solve 5/6+1/2+2/3

$$\frac { 5 } { 6 } + \frac { 1 } { 2 } + \frac { 2 } { 3 }$$

Evaluate

$$2$$

Solution Steps

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

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

Since \frac{5}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

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

Add 5 and 3 to get 8.

$$\frac{8}{6}+\frac{2}{3}$$

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

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

Since \frac{4}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add 4 and 2 to get 6.

$$\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$2$$

Factor

$$2$$