0.13 as a Fraction in Simplest Form
Introduction
In mathematics, fractions are used to represent part of a whole. They can be expressed in different ways, including decimal form. In this article, we will explore how to convert the decimal number 0.13 to a fraction in its simplest form.
What is 0.13 as a Fraction?
To convert 0.13 to a fraction, we can use the following steps:
- Divide the decimal number by 100, which is the equivalent of moving the decimal point two places to the left.
- This gives us 13/100.
Simplifying the Fraction
The fraction 13/100 is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of 13 and 100.
- The GCD of 13 and 100 is 1, which means that the fraction is already in its simplest form.
Therefore, 0.13 as a fraction in simplest form is 13/100.
Conclusion
In conclusion, converting a decimal number to a fraction in simplest form involves dividing by a power of 10 and then simplifying the resulting fraction. In the case of 0.13, the simplest form is 13/100. Understanding how to perform this conversion is an essential skill in mathematics and is used in a wide range of applications.