You may know that $0.33333…$ is equal to $\frac { 1 } { 3 }$. Here is a short proof to help justify the fact. Let $N = 0.333333…$. 

1. What does $10N$ equal?

   Answer (a):

   $3.333...$

2. Fill in the blanks: $10N =$ ____
   $N$ = ____

3. What expression do you get by subtracting the two equations above?

   Partial Answer (c):

   $9N = 3$

4. Solve for $N$, leaving your answer in fraction form. Do not forget to reduce.