Solve 5/6+7/9+4/3

$$\frac { 5 } { 6 } + \frac { 7 } { 9 } + \frac { 4 } { 3 }$$

Evaluate

$$\frac{53}{18}\approx 2.944444444$$

Solution Steps

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{7}{9} to fractions with denominator 18.

$$\frac{15}{18}+\frac{14}{18}+\frac{4}{3}$$

Since \frac{15}{18} and \frac{14}{18} have the same denominator, add them by adding their numerators.

$$\frac{15+14}{18}+\frac{4}{3}$$

Add 15 and 14 to get 29.

$$\frac{29}{18}+\frac{4}{3}$$

Least common multiple of 18 and 3 is 18. Convert \frac{29}{18} and \frac{4}{3} to fractions with denominator 18.

$$\frac{29}{18}+\frac{24}{18}$$

Since \frac{29}{18} and \frac{24}{18} have the same denominator, add them by adding their numerators.

$$\frac{29+24}{18}$$

Add 29 and 24 to get 53.

$$\frac{53}{18}$$

Factor

$$\frac{53}{2 \cdot 3 ^ {2}} = 2\frac{17}{18} = 2.9444444444444446$$