Find the quotient. \( -\frac{5}{6}+\frac{11}{9} \) select the correct choice below and, if necessary, fill in the answer box to complete your choice, A. \( -\frac{5}{6}, \frac{11}{9}=\square \) (Type an integer or a simplified fraction.) B. The answer is undefined.
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To find the quotient of \( -\frac{5}{6} + \frac{11}{9} \), we first need to find a common denominator. The least common multiple of 6 and 9 is 18. Rewriting the fractions: \(-\frac{5}{6} = -\frac{15}{18}\) (by multiplying the numerator and denominator by 3) \(\frac{11}{9} = \frac{22}{18}\) (by multiplying by 2) Now we can combine them: \(-\frac{15}{18} + \frac{22}{18} = \frac{7}{18}\) So the correct choice is A. \( \frac{7}{18} \)
