# Joining Numbers

If we have 2 numbers $$\overline { abc }$$ and $$\overline { def }$$ we can join this 2 number to make other more large $$\overline { abcdef }$$. If we join more one number $$\overline { ghi}$$ we have $$\overline { abcdefghi }$$.

We can reduce a number summing their digits to get only a 1-digit number: $$362 \Rightarrow 3+6+2=11 \Rightarrow 1+1=2$$. If we reduce the number 362 we get 2.

If we join all 3-digit numbers multiples of 9 to make a other more large, and reduce this number, we get a number $$n$$. What is the value of $$\frac {n}{3}$$?

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