Answer
$\frac{43}{44}$
Work Step by Step
1. Find LCD of fractions: 44
2. Write as equivalent fraction with 44 as common denominator:
$\frac{8}{11} - \frac{1}{4} + \frac{1}{2} = \frac{8*4}{11*4} - \frac{1*11}{4*11} + \frac{1*22}{2*22} = \frac{32}{44} - \frac{11}{44} + \frac{22}{44} = \frac{32 - 11 + 22}{44} = \frac{43}{44}$