Converting 0.08 as a Repeating Decimal to a Fraction
Have you ever encountered a repeating decimal like 0.08, and wondered how to convert it to a fraction? Look no further! In this article, we'll explore how to convert 0.08 to a fraction, and understand the underlying principles behind this conversion.
What is 0.08 as a Repeating Decimal?
A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely. In the case of 0.08, the sequence "08" repeats indefinitely, making it a repeating decimal.
Converting 0.08 to a Fraction
To convert 0.08 to a fraction, we can use the following steps:
Step 1: Write the Decimal as a Fraction with a Denominator of 100
Since 0.08 has two decimal places, we can write it as a fraction with a denominator of 100:
$\frac{8}{100}$
Step 2: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 8 and 100 is 4, so we can divide both numbers by 4:
$\frac{8 \div 4}{100 \div 4} = \frac{2}{25}$
Therefore, the fraction equivalent to 0.08 is 2/25.
Conclusion
Converting a repeating decimal like 0.08 to a fraction is a straightforward process. By following the steps outlined above, we can convert any repeating decimal to a fraction. In this case, we found that 0.08 is equivalent to the fraction 2/25.
