Fraction in Lowest Terms: Understanding 0.13
In mathematics, a fraction in lowest terms is a way to express a fraction in its simplest form. This means that the numerator and denominator of the fraction have no common factors other than 1. In this article, we will explore the concept of fractions in lowest terms, with a specific focus on the fraction 0.13.
What is a Fraction in Lowest Terms?
A fraction in lowest terms is a fraction that has been simplified to its most basic form. This means that the numerator and denominator have no common factors other than 1. For example, the fraction 6/8 is not in lowest terms because both the numerator and denominator can be divided by 2, resulting in the simplified fraction 3/4.
Converting 0.13 to a Fraction
The decimal 0.13 can be converted to a fraction by dividing the numerator (13) by the denominator (100). This results in the fraction 13/100.
Simplifying 13/100
To simplify the fraction 13/100, 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 lowest terms.
Conclusion
In conclusion, the fraction 0.13 in lowest terms is 13/100. This fraction is already in its simplest form, with no common factors between the numerator and denominator other than 1. Understanding fractions in lowest terms is an important concept in mathematics, as it helps us to simplify complex fractions and perform calculations more efficiently.
Key Takeaways
- A fraction in lowest terms is a fraction that has been simplified to its most basic form.
- The fraction 0.13 can be converted to a fraction by dividing the numerator by the denominator.
- The fraction 13/100 is already in its lowest terms, with no common factors between the numerator and denominator other than 1.
