0.13 as a Fraction Simplified: An Example
In this article, we will explore how to convert the decimal number 0.13 to a simplified fraction. This is a fundamental concept in mathematics, and it's essential to understand how to perform this conversion.
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 tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
Converting 0.13 to a Fraction
To convert 0.13 to a fraction, we need to find the numerator and denominator. Let's start by dividing 0.13 by 1:
0.13 ÷ 1 = 0.13
Now, we need to find the smallest whole number that we can multiply 0.13 by to get a whole number. In this case, that number is 100.
0.13 × 100 = 13
So, our numerator is 13, and our denominator is 100.
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 13 and 100. The GCD is the largest number that divides both numbers evenly.
The factors of 13 are: 1, 13 The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100
The GCD of 13 and 100 is 1. This means that our fraction is already in its simplest form.
The Solution
Therefore, 0.13 as a fraction simplified is:
13/100
This is the simplest form of the fraction. We can verify this by dividing the numerator by the denominator:
13 ÷ 100 = 0.13
And there you have it! We have successfully converted 0.13 to a simplified fraction.
