### Home > PC > Chapter 8 > Lesson 8.2.3 > Problem8-104

8-104.

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?

$3.333...$

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

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

$9N = 3$

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