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The operation $*$ is defined for non-zero integers as follows: $a * b = \frac{1}{a} + \frac{1}{b}$. If $a+b = 9$ and $a \times b = 20$, what is the value of $a*b$? Express your answer as a common fraction.

Lightning  Jul 6, 2018
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Guest Jul 6, 2018
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The operation $*$ is defined for non-zero integers as follows: $a * b = \frac{1}{a} + \frac{1}{b}$.

If $a+b = 9$ and $a \times b = 20$,

what is the value of $a*b$?