0.5555 Repeating as a Fraction
Have you ever wondered how to convert a repeating decimal into a fraction? In this article, we'll explore how to convert 0.5555 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. In the case of 0.5555, the sequence "5" repeats indefinitely.
Converting 0.5555 to a Fraction
To convert 0.5555 to a fraction, we can use the following steps:
Step 1: Let x = 0.5555
Let's assume that x = 0.5555.
Step 2: Multiply both sides by 10
Multiplying both sides by 10 gives us:
10x = 5.5555
Step 3: Subtract x from both sides
Subtracting x from both sides gives us:
9x = 5
Step 4: Divide both sides by 9
Dividing both sides by 9 gives us:
x = 5/9
Therefore, 0.5555 repeating as a fraction is equal to 5/9.
Conclusion
In this article, we've learned how to convert 0.5555 repeating as a fraction. By using the steps outlined above, we can convert any repeating decimal into a fraction. With practice, you'll become proficient in converting decimals to fractions in no time!
Example
Try converting 0.3333 repeating as a fraction using the steps outlined above. What's the answer?
