Solve =2/3+5/6+5/2/2

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

Evaluate

$$2$$

Solution Steps

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

$$\frac{\frac{4}{6}+\frac{5}{6}+\frac{5}{2}}{2}$$

Since \frac{4}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+5}{6}+\frac{5}{2}}{2}$$

Add 4 and 5 to get 9.

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

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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

Since \frac{3}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

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

Add 3 and 5 to get 8.

$$\frac{\frac{8}{2}}{2}$$

Divide 8 by 2 to get 4.

$$\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$2$$

Factor

$$2$$