0.08 Repeating as a Fraction
What is 0.08 Repeating?
0.08 repeating, also known as 0.080808..., is a non-terminating recurring decimal. It is a decimal that has an infinite number of digits, but the digits repeat in a predictable pattern.
Converting 0.08 Repeating to a Fraction
To convert 0.08 repeating to a fraction, we can use a simple method. Let's multiply 0.08 by 100 to get:
100 × 0.08 = 8.08
Now, subtract the original number from the result:
8.08 - 0.08 = 8.00
This gives us:
8.00 = 100 × 0.08 - 0.08
Divide both sides by 0.08:
100 = (8.00) / 0.08
Now, simplify the fraction:
100 = 800 / 8
Finally, divide both numerator and denominator by their greatest common divisor (GCD), which is 8:
0.08 Repeating as a Fraction: 2/25
Therefore, 0.08 repeating can be written as a fraction in its simplest form as:
2/25
Conclusion
In this article, we have successfully converted 0.08 repeating to a fraction. The fraction equivalent of 0.08 repeating is 2/25. This method can be applied to convert any non-terminating recurring decimal to a fraction.
