0.022 as a Fraction in its Simplest Form
What is 0.022 as a Fraction?
The decimal number 0.022 can be converted to a fraction in its simplest form. But before we dive into that, let's understand what a fraction is.
A fraction is a way to express a part of a whole as a ratio of two numbers: a numerator and a denominator. The numerator represents the number of equal parts, and the denominator represents the total number of parts.
Converting 0.022 to a Fraction
To convert 0.022 to a fraction, we need to find the equivalent ratio of two numbers. One way to do this is to divide 0.022 by 1, which gives us:
0.022 ÷ 1 = 22 ÷ 1000
Now, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 22 and 1000 is 2. So, we can divide both numbers by 2:
(22 ÷ 2) / (1000 ÷ 2) = 11 / 500
And that's it! We have converted 0.022 to a fraction in its simplest form:
0.022 = 11/500
Simplifying the Fraction
As you can see, the fraction 11/500 is already in its simplest form. There is no way to further simplify it by dividing both the numerator and the denominator by a common factor.
Conclusion
In this article, we have successfully converted the decimal number 0.022 to a fraction in its simplest form, which is 11/500. This process involved dividing the decimal by 1, simplifying the fraction, and finding the GCD to ensure that the fraction is in its most basic form.
