The value of $3+3/{3+1/{3+{1/3}}}$ is Options: A . &nbsp$41/11$ B . &nbsp$46/11$ C . &nbsp$43/11$ D . &nbsp$40/11$

The value of $3+3/{3+1/{3+{1/3}}}$ is

Question

The value of $3+3/{3+1/{3+{1/3}}}$ is

Options:

A . $41/11$

B . $46/11$

C . $43/11$

D . $40/11$

Answer: Option C
Answer: (c)Expression = $3+3/{3+{1/{{9+1}/3}}}$= $3+3/{3+{3/10}} = 3+3/{{30+3}/10}$= $3+{30/33} = 3+{10/11}$= ${33+10}/11 = 43/11$

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