Answer
$\frac{17}{18}$
Work Step by Step
1. Find LCD of fractions: 18
2. Write as equivalent fractions with 18 as common denominator:
$\frac{2}{3} - \frac{5}{9} + \frac{5}{6} = \frac{2*6}{3*6} - \frac{5*2}{9*2} + \frac{5*3}{6*3} = \frac{12}{18} - \frac{10}{18} + \frac{15}{18} = \frac{12 - 10 + 15}{18} = \frac{17}{18}$
