Solve 11/3+23/4+1/2

$$11 / 3 + 23 / 4 + 1 / 2$$

Evaluate

$$\frac{119}{12}\approx 9.916666667$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{11}{3} and \frac{23}{4} to fractions with denominator 12.

$$\frac{44}{12}+\frac{69}{12}+\frac{1}{2}$$

Since \frac{44}{12} and \frac{69}{12} have the same denominator, add them by adding their numerators.

$$\frac{44+69}{12}+\frac{1}{2}$$

Add 44 and 69 to get 113.

$$\frac{113}{12}+\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{113}{12} and \frac{1}{2} to fractions with denominator 12.

$$\frac{113}{12}+\frac{6}{12}$$

Since \frac{113}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

$$\frac{113+6}{12}$$

Add 113 and 6 to get 119.

$$\frac{119}{12}$$

Factor

$$\frac{7 \cdot 17}{2 ^ {2} \cdot 3} = 9\frac{11}{12} = 9.916666666666666$$