Solve 2/3+1/4+8

$$\frac { 2 } { 3 } + \frac { 1 } { 4 } + 8$$

Evaluate

$$\frac{107}{12}\approx 8.916666667$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{3}{12}+8$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{12}+8$$

Add 8 and 3 to get 11.

$$\frac{11}{12}+8$$

Convert 8 to fraction \frac{96}{12}.

$$\frac{11}{12}+\frac{96}{12}$$

Since \frac{11}{12} and \frac{96}{12} have the same denominator, add them by adding their numerators.

$$\frac{11+96}{12}$$

Add 11 and 96 to get 107.

$$\frac{107}{12}$$

Factor

$$\frac{107}{2 ^ {2} \cdot 3} = 8\frac{11}{12} = 8.916666666666666$$