+4609 Nice to meet you again, Ant!
We first find the value of 1/27 and see if it repeats.
\(\frac{1}{27}=0.0370370\). This number repeats forever.
If you see closely, only the 0, 3, and 7 repeats. This is 3 numbers.
If we want the 42nd digit, we simply divide 42 by 3 to get 14.
We're are not done, yet! The question is asking us to find what digit!
Since 3 goes into 42 evenly, with a remainder of 0, we look at the last digit of our repeating trio.
Remeber, R1= First number, and R0= Last Number
Thus, the answer is \(\boxed{7}\)
