Answer:
4/33
Step-by-step explanation:
We seek to find the repeating decimal 0.121212... in the form of a fraction.
First, set x equal to this decimal:
x = 0.121212...
Multiply both sides by 100:
100x = 12.121212....
Now, let's subtract the original equation from this new one:
100x = 12.121212....
- x = 0.121212....
We realize that since the repeating decimal part goes on forever, we can simply cancel it out when we subtract. So we're left with:
100x - x = 12 - 0
99x = 12
Divide both sides by 99:
x = 12/99 = 4/33
The answer is 4/33.
~ an aesthetics lover
