Solve 1/2+7/9+5/6

$$\frac{ 1 }{ 2 } + \frac{ 7 }{ 9 } + \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{19}{9}\approx 2.111111111$$

Solution Steps

Least common multiple of 2 and 9 is 18. Convert \frac{1}{2} and \frac{7}{9} to fractions with denominator 18.

$$\frac{9}{18}+\frac{14}{18}+\frac{5}{6}$$

Since \frac{9}{18} and \frac{14}{18} have the same denominator, add them by adding their numerators.

$$\frac{9+14}{18}+\frac{5}{6}$$

Add 9 and 14 to get 23.

$$\frac{23}{18}+\frac{5}{6}$$

Least common multiple of 18 and 6 is 18. Convert \frac{23}{18} and \frac{5}{6} to fractions with denominator 18.

$$\frac{23}{18}+\frac{15}{18}$$

Since \frac{23}{18} and \frac{15}{18} have the same denominator, add them by adding their numerators.

$$\frac{23+15}{18}$$

Add 23 and 15 to get 38.

$$\frac{38}{18}$$

Reduce the fraction \frac{38}{18} to lowest terms by extracting and canceling out 2.

$$\frac{19}{9}$$

Factor

$$\frac{19}{3 ^ {2}} = 2\frac{1}{9} = 2.111111111111111$$