Solve 5/6+8/9=

$$\frac { 5 } { 6 } + \frac { 8 } { 9 } =$$

Evaluate

$$\frac{31}{18}\approx 1.722222222$$

Solution Steps

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{8}{9} to fractions with denominator 18.

$$\frac{15}{18}+\frac{16}{18}$$

Since \frac{15}{18} and \frac{16}{18} have the same denominator, add them by adding their numerators.

$$\frac{15+16}{18}$$

Add 15 and 16 to get 31.

$$\frac{31}{18}$$

Factor

$$\frac{31}{2 \cdot 3 ^ {2}} = 1\frac{13}{18} = 1.7222222222222223$$