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Question

Simplify
$$[(2)^{-1}+(4)^{-1}+(3)^{-1}]^{-1}$$

Solution
Verified by Toppr

Let us simplify the given expression
$$[(2)^{-1}+(4)^{-1}+(3)^{-1}]^{-1}=[(1/2)+(1/4)+(1/3)]^{-1}$$
$$=[(6+3+4)/12]^{-1}$$
$$=[13/12]^{-1}$$
$$=12/13$$

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