Solve 5/6+11/2+1/2

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

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

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

$$\frac{5}{6}+\frac{9}{6}+\frac{1}{2}$$

Since \frac{5}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+9}{6}+\frac{1}{2}$$

Add 5 and 9 to get 14.

$$\frac{14}{6}+\frac{1}{2}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}+\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{7}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{14}{6}+\frac{3}{6}$$

Since \frac{14}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{14+3}{6}$$

Add 14 and 3 to get 17.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$