Solve 7/9+1/2+2/3

$$\frac { 7 } { 9 } + \frac { 1 } { 2 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{35}{18}\approx 1.944444444$$

Solution Steps

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

$$\frac{14}{18}+\frac{9}{18}+\frac{2}{3}$$

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

$$\frac{14+9}{18}+\frac{2}{3}$$

Add 14 and 9 to get 23.

$$\frac{23}{18}+\frac{2}{3}$$

Least common multiple of 18 and 3 is 18. Convert \frac{23}{18} and \frac{2}{3} to fractions with denominator 18.

$$\frac{23}{18}+\frac{12}{18}$$

Since \frac{23}{18} and \frac{12}{18} have the same denominator, add them by adding their numerators.

$$\frac{23+12}{18}$$

Add 23 and 12 to get 35.

$$\frac{35}{18}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3 ^ {2}} = 1\frac{17}{18} = 1.9444444444444444$$