.08 Repeating as a Fraction
Introduction
Have you ever wondered how to convert a repeating decimal to a fraction? In this article, we will explore how to convert .08 repeating as a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely. For example, .08 repeating is a repeating decimal because the sequence of digits ".08" repeats indefinitely.
Converting .08 Repeating to a Fraction
To convert .08 repeating to a fraction, we can use the following steps:
Step 1: Let x = .08 repeating
Let x = .08 repeating. This means that x = .080808...
Step 2: Multiply x by 100
Multiply x by 100 to get 100x = 8.080808...
Step 3: Subtract x from 100x
Subtract x from 100x to get 99x = 8
Step 4: Divide by 99
Divide both sides by 99 to get x = 8/99
.08 Repeating as a Fraction
Therefore, .08 repeating as a fraction is 8/99.
Conclusion
Converting a repeating decimal to a fraction can be a bit tricky, but by following these steps, you can easily convert .08 repeating to a fraction. Remember to multiply and divide carefully to get the correct answer.
Practice Exercise
Try converting .23 repeating to a fraction using the same steps. What is the answer?
Answer
.23 repeating as a fraction is 23/99.
