Solve 1/2+1/3+3

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

Evaluate

$$\frac{23}{6}\approx 3.833333333$$

Solution Steps

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

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

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

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

Add 3 and 2 to get 5.

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

Convert 3 to fraction \frac{18}{6}.

$$\frac{5}{6}+\frac{18}{6}$$

Since \frac{5}{6} and \frac{18}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+18}{6}$$

Add 5 and 18 to get 23.

$$\frac{23}{6}$$

Factor

$$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$$