Answer:
0.333.. repeating =
Step-by-step explanation:
The given number is 0.333...
The bar represents 3 continues forever.
Let's find the rational number that represents 0.333...
The rational number is in the form of , where q ≠ 0.
Let x = 0.333...
Let's multiply both sides by 10, we get
10x = 3.33...
Now let's subtract x from 10x
10x - x = 3.33... - 0.333..
9x = 3
Now let's divide both sides by 9, we get
x =
When we simplify the above, we get
x =
So the rational number represents 0.333....