ibrahimduchha ibrahimduchha
  • 10-05-2024
  • Mathematics
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Find the reciprocal of the sum of the reciprocals of $\frac{1}{-5}$ and $-\frac{1}{6}$.

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lexie2fine
lexie2fine lexie2fine
  • 10-05-2024

Answer: The reciprocals of $\frac{1}{-5}$ and $-\frac{1}{6}$ are $-5$ and $-6$, respectively.

The sum of these reciprocals is $-5 + (-6) = -11$.

Now, we need to find the reciprocal of $-11$, which is $\frac{1}{-11} = \boxed{-\frac{1}{11}}$.

So, the reciprocal of the sum of the reciprocals is $-\frac{1}{11}$

Step-by-step explanation:

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