Converting 0.06 to a Fraction out of 100
In this article, we will learn how to convert the decimal number 0.06 to a fraction out of 100. But before we dive into the conversion process, let's quickly review what a fraction is and how it's represented.
What is a Fraction?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator represents the number of equal parts, and the denominator represents the total number of parts.
Converting 0.06 to a Fraction
To convert 0.06 to a fraction, we need to find the equivalent fraction that has 100 as its denominator. This is because we want to express 0.06 as a fraction out of 100.
Step 1: Convert 0.06 to an Improper Fraction
To convert 0.06 to an improper fraction, we can multiply both the numerator and the denominator by 100:
0.06 = 6/100
Step 2: Simplify the Fraction (Optional)
In this case, the fraction 6/100 is already in its simplest form. However, if you want to simplify it further, you can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 6 and 100 is 2. Therefore, you can simplify the fraction as follows:
6 ÷ 2 = 3 100 ÷ 2 = 50
So, the simplified fraction is:
0.06 = 3/50
Conclusion
In conclusion, 0.06 as a fraction out of 100 is equal to 6/100. After simplifying the fraction, we get 3/50. Both of these fractions represent the same decimal value, which is 0.06.
