Converting .005 to a Fraction
Have you ever wondered how to convert a decimal number like .005 to a fraction? In this article, we'll explore the steps to convert .005 to a fraction and provide the answer.
What is a Fraction?
Before we dive into converting .005 to a fraction, let's quickly review what a fraction is. A fraction is a way to represent a part of a whole as a ratio of two numbers: the numerator (the top number) and the denominator (the bottom number). For example, the fraction 1/2 represents one out of two equal parts.
Converting .005 to a Fraction
To convert .005 to a fraction, we need to find the numerator and denominator. Here's the step-by-step process:
Step 1: Divide .005 by 1
.005 ÷ 1 = .005
Step 2: Find the Smallest Whole Number Multiple of the Denominator
Since .005 is a small decimal, we can multiply it by 1000 to get a whole number:
.005 × 1000 = 5
Step 3: Rewrite the Result as a Fraction
Now, we can write the result as a fraction:
5/1000
Step 4: Simplify the Fraction (Optional)
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 5:
5 ÷ 5 = 1 1000 ÷ 5 = 200
So, the simplified fraction is:
1/200
And that's it! We've successfully converted .005 to a fraction: 1/200.
Conclusion
In conclusion, converting .005 to a fraction involves dividing the decimal by 1, finding the smallest whole number multiple of the denominator, rewriting the result as a fraction, and simplifying the fraction (if possible). By following these steps, we arrived at the answer: 1/200.
