Converting .005 to a Fraction
Have you ever wondered how to convert the decimal .005 to a fraction? If so, you're in the right place! In this article, we'll explore the process of converting .005 to a fraction and provide a step-by-step guide to help you understand the concept.
Understanding Decimals and Fractions
Before we dive into the conversion process, let's take a brief look at what decimals and fractions are.
Decimals
A decimal is a way of representing a number using a base-10 number system. It consists of a whole number part and a fractional part separated by a decimal point. For example, .005 is a decimal number.
Fractions
A fraction, on the other hand, is a way of expressing a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number) separated by a line. For example, 1/2 is a fraction.
Converting .005 to a Fraction
Now that we've covered the basics, let's convert .005 to a fraction.
To convert .005 to a fraction, we can follow these steps:
Step 1: Write the decimal as a fraction with a denominator of 1
.005 = 5/1000
Step 2: Simplify the fraction
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 5 and 1000 is 5.
5 ÷ 5 = 1 1000 ÷ 5 = 200
So, the simplified fraction is:
.005 = 1/200
Therefore, the decimal .005 is equivalent to the fraction 1/200.
Conclusion
In this article, we've learned how to convert the decimal .005 to a fraction. By following the steps outlined above, you can easily convert any decimal to a fraction. Remember to simplify the fraction whenever possible to get the simplest form.
Key Takeaways
- .005 is equivalent to the fraction 1/200
- To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1 and simplify the fraction by dividing both the numerator and denominator by their GCD.
