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-\frac{78}{143}-\frac{176}{143}
Least common multiple of 11 and 13 is 143. Convert -\frac{6}{11} and \frac{16}{13} to fractions with denominator 143.
\frac{-78-176}{143}
Since -\frac{78}{143} and \frac{176}{143} have the same denominator, subtract them by subtracting their numerators.
-\frac{254}{143}
Subtract 176 from -78 to get -254.