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 digits 12 repeat 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 rid of the decimal point.
100x = 12.121212...
Step 3: Subtract x from 100x
Subtract x from both sides of the equation to get:
99x = 12
Step 4: Solve for x
Divide both sides of the equation by 99 to solve for x.
x = 12/99
Step 5: Simplify the fraction
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD).
x = 4/33
Therefore, 0.12 repeating as a fraction is 4/33.
Conclusion
In this article, we have successfully converted 0.12 repeating to a fraction. The fraction equivalent of 0.12 repeating is 4/33.
