Solve 1/3+1/2+1

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

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

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

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

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

Convert 1 to fraction \frac{6}{6}.

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

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

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

Add 5 and 6 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$