Solve 11/6+2/9

$$\frac { 11 } { 6 } + \frac { 2 } { 9 }$$

Evaluate

$$\frac{37}{18}\approx 2.055555556$$

Solution Steps

Least common multiple of 6 and 9 is 18. Convert \frac{11}{6} and \frac{2}{9} to fractions with denominator 18.

$$\frac{33}{18}+\frac{4}{18}$$

Since \frac{33}{18} and \frac{4}{18} have the same denominator, add them by adding their numerators.

$$\frac{33+4}{18}$$

Add 33 and 4 to get 37.

$$\frac{37}{18}$$

Factor

$$\frac{37}{2 \cdot 3 ^ {2}} = 2\frac{1}{18} = 2.0555555555555554$$