0.13 Repeating as a Fraction Calculator
What is 0.13 Repeating?
0.13 repeating, also known as 0.1313..., is a non-terminating repeating decimal. It is a decimal that has a sequence of digits that repeats indefinitely. In this case, the sequence "13" repeats indefinitely.
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 = 0.1313.... This is the given repeating decimal.
Step 2: Multiply both sides by 100
Multiply both sides of the equation by 100 to get:
100x = 13.1313...
Step 3: Subtract the original equation from the new equation
Subtract the original equation from the new equation to get:
99x = 13
Step 4: Divide both sides by 99
Divide both sides by 99 to get:
x = 13/99
Therefore, 0.13 repeating as a fraction is equal to 13/99.
Using a Fraction Calculator
If you want to avoid the steps above, you can use a fraction calculator to convert 0.13 repeating to a fraction. A fraction calculator is an online tool that can convert repeating decimals to fractions in a matter of seconds.
Benefits of Using a Fraction Calculator
Using a fraction calculator has several benefits, including:
- Quick and easy conversion: A fraction calculator can convert 0.13 repeating to a fraction in a matter of seconds, saving you time and effort.
- Accurate results: A fraction calculator ensures accurate results, eliminating the risk of human error.
- Convenient: A fraction calculator is an online tool that can be accessed from anywhere, making it a convenient option for anyone who needs to convert repeating decimals to fractions.
Conclusion
In conclusion, 0.13 repeating as a fraction is equal to 13/99. You can use the steps above to convert 0.13 repeating to a fraction manually, or you can use a fraction calculator to get quick and accurate results.
