0.12 Repeating as a Fraction
What is 0.12 Repeating?
0.12 repeating is a decimal number that has a repeating pattern of 12. It can be written as 0.121212... where the pattern of 12 repeats indefinitely.
Converting 0.12 Repeating to a Fraction
To convert 0.12 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.121212...
Let x equal the repeating decimal 0.121212....
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get:
100x = 12.121212...
Step 3: Subtract x from 100x
Subtract x from both sides of the equation to get:
99x = 12
Step 4: Divide both sides by 99
Divide both sides of the equation by 99 to get:
x = 12/99
Step 5: Simplify the fraction
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
x = 4/33
Therefore, 0.12 repeating can be written as a fraction as:
4/33
This is the equivalent fraction of the repeating decimal 0.12.
