0.13 Repeating in Fraction Form
What is 0.13 Repeating?
0.13 repeating, also written as 0.1313..., is a decimal number that has a repeating pattern of 13. This means that the sequence 13 repeats indefinitely after the decimal point.
Converting 0.13 Repeating to a Fraction
To convert 0.13 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.1313...
Let x equal the given decimal number.
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get:
100x = 13.1313...
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
99x = 13
Step 4: Divide both sides by 99
Divide both sides of the equation by 99 to get:
x = 13/99
The Result
Therefore, 0.13 repeating can be written in fraction form as:
13/99
This is the equivalent fraction form of the repeating decimal 0.13.
