Solve 3/4+11/6=

$$\frac { 3 } { 4 } + \frac { 11 } { 6 } =$$

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{11}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{22}{12}$$

Since \frac{9}{12} and \frac{22}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+22}{12}$$

Add 9 and 22 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3} = 2\frac{7}{12} = 2.5833333333333335$$