0.05 Recurring as a Fraction Calculator
What is 0.05 Recurring?
0.05 recurring, also known as 0.05 followed by an ellipsis (...) or 0.050505..., is a decimal number that has an infinite sequence of 05 repeating indefinitely. This type of decimal is called a recurring decimal or a repeating decimal.
Converting 0.05 Recurring to a Fraction
To convert 0.05 recurring to a fraction, we can use the following steps:
Step 1: Let x = 0.0505...
Step 2: Multiply both sides of the equation by 100 to get rid of the decimal point:
100x = 5.0505...
Step 3: Subtract the original equation from the new equation:
100x - x = 5.0505... - 0.0505...
This simplifies to:
99x = 5
Step 4: Divide both sides of the equation by 99:
x = 5/99
So, 0.05 recurring as a fraction is 5/99.
Using an Online Calculator
If you don't want to go through the steps above, you can use an online calculator to convert 0.05 recurring to a fraction. There are many online calculators available that can perform this conversion for you, such as a recurring decimal to fraction calculator.
Conclusion
In conclusion, 0.05 recurring can be converted to a fraction by using the steps outlined above. The result is 5/99, which is a simplified fraction. If you need to perform this conversion frequently, you can use an online calculator to make the process easier and faster.
