Solve 1/2+31/3

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

Evaluate

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

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{1}{2}+\frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{1}{2}+\frac{10}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{10}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{20}{6}$$

Since \frac{3}{6} and \frac{20}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+20}{6}$$

Add 3 and 20 to get 23.

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

Factor

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