Solve 1/2+5/18+16/9

$$\frac { 1 } { 2 } + \frac { 5 } { 18 } + \frac { 16 } { 9 }$$

Evaluate

$$\frac{23}{9}\approx 2.555555556$$

Solution Steps

Least common multiple of 2 and 18 is 18. Convert \frac{1}{2} and \frac{5}{18} to fractions with denominator 18.

$$\frac{9}{18}+\frac{5}{18}+\frac{16}{9}$$

Since \frac{9}{18} and \frac{5}{18} have the same denominator, add them by adding their numerators.

$$\frac{9+5}{18}+\frac{16}{9}$$

Add 9 and 5 to get 14.

$$\frac{14}{18}+\frac{16}{9}$$

Reduce the fraction \frac{14}{18} to lowest terms by extracting and canceling out 2.

$$\frac{7}{9}+\frac{16}{9}$$

Since \frac{7}{9} and \frac{16}{9} have the same denominator, add them by adding their numerators.

$$\frac{7+16}{9}$$

Add 7 and 16 to get 23.

$$\frac{23}{9}$$

Factor

$$\frac{23}{3 ^ {2}} = 2\frac{5}{9} = 2.5555555555555554$$