Solve 105/2+2/3

$$10 \frac { 5 } { 2 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{79}{6}\approx 13.166666667$$

Solution Steps

Multiply 10 and 2 to get 20.

$$\frac{20+5}{2}+\frac{2}{3}$$

Add 20 and 5 to get 25.

$$\frac{25}{2}+\frac{2}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{25}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{75}{6}+\frac{4}{6}$$

Since \frac{75}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{75+4}{6}$$

Add 75 and 4 to get 79.

$$\frac{79}{6}$$

Factor

$$\frac{79}{2 \cdot 3} = 13\frac{1}{6} = 13.166666666666666$$