Find the value of $2^{-1} + 3^{-1}$.

Find the value of $2^{-1} + 3^{-1}$.
  1. $\dfrac{1}{6}$
  2. $\dfrac{5}{6}$
  3. $\dfrac{1}{5}$
  4. $\dfrac{6}{5}$

Solution

$2^{-1} + 3^{-1} = \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{3 + 2}{6} = \dfrac{5}{6}$.

Asked in: IMO

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