Solve 21/2+2/3

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

Evaluate

$$\frac{19}{6}\approx 3.166666667$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{2}{3}$$

Add 4 and 1 to get 5.

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

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

$$\frac{15}{6}+\frac{4}{6}$$

Since \frac{15}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{6}$$

Add 15 and 4 to get 19.

$$\frac{19}{6}$$

Factor

$$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$$