Question

Convert .33... to a fraction

Answer 1

To convert .33... to a fraction, we need to identify the repeating pattern. The pattern in this case is 3.

Let's say x = 0.33...
Then, 100x = 33.33...

Now, let's subtract the two equations:
(100x - x) = (33.33... - 0.33...)
99x = 33
x = 33/99

Simplifying the fraction, we can divide both the numerator and denominator by 33:
x = 1/3

Therefore, .33... is equal to 1/3 in fraction form.