0.004 Recurring as a Fraction: A Step-by-Step Guide
Have you ever wondered how to convert a recurring decimal, such as 0.004, into a fraction? If so, you're in the right place! In this article, we'll walk you through the process of converting 0.004 recurring into a fraction.
What is a Recurring Decimal?
A recurring decimal is a decimal number that has a sequence of digits that repeats indefinitely. For example, 0.004 is a recurring decimal because the sequence "004" repeats indefinitely.
Converting 0.004 Recurring into a Fraction
To convert 0.004 recurring into a fraction, we can use the following steps:
Step 1: Write the number as a fraction with a denominator of 1
0.004 = 4/1000
Step 2: Simplify the fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 1000 is 4.
4 ÷ 4 = 1 1000 ÷ 4 = 250
So, the simplified fraction is:
0.004 = 1/250
Conclusion
In this article, we've shown you how to convert 0.004 recurring into a fraction. By following these simple steps, you can convert any recurring decimal into a fraction. Remember to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor.
Final Answer
0.004 recurring as a fraction is 1/250.
