0.08 3 Repeating as a Fraction
Understanding repeating decimals and converting them to fractions can be a bit tricky, but don't worry, we've got you covered! In this article, we'll explore how to convert 0.08 3 repeating into a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely. For example, 0.123 4 repeating is a repeating decimal because the sequence "4" repeats indefinitely.
Converting 0.08 3 Repeating to a Fraction
To convert 0.08 3 repeating to a fraction, we can use the following steps:
- Let x = 0.08 3 repeating
- Multiply x by 100 to get 8.33 repeating
- Subtract x from 8.33 repeating to get 8.25
- Divide both sides by 25 to get x = 8/25
So, 0.08 3 repeating as a fraction is equal to 8/25.
Why Does This Method Work?
This method works because when you multiply a repeating decimal by a power of 10 (in this case, 100), the repeating part shifts to the left. By subtracting the original number from the shifted number, you eliminate the repeating part, leaving you with a simple fraction.
Conclusion
In conclusion, 0.08 3 repeating as a fraction is equal to 8/25. By using the steps outlined above, you can convert any repeating decimal to a fraction. Remember to multiply, subtract, and divide to get your answer!
