0.01 as a Fraction in Simplest Form
What is 0.01 as a Fraction?
The decimal number 0.01 can be written as 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 represent a part of a whole as a ratio of two integers, the numerator and the denominator. The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
Converting 0.01 to a Fraction
To convert the decimal number 0.01 to a fraction, we need to find the equivalent ratio of two integers.
Step 1: Divide by the denominator
We can convert 0.01 to a fraction by dividing it by a power of 10, which is the denominator. In this case, we'll divide 0.01 by 100 (10^2).
0.01 ÷ 100 = 1/100
Step 2: Simplify the fraction
Now, we have the fraction 1/100. However, we can simplify it further by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 1 and 100 is 1, so we can't simplify it further.
Therefore, 0.01 as a fraction in simplest form is 1/100.
Conclusion
In conclusion, we have successfully converted the decimal number 0.01 to a fraction in its simplest form, which is 1/100. This fraction represents one part out of 100 equal parts of a whole.
