0.08 as a Fraction in Lowest Terms
In this article, we will explore how to convert the decimal number 0.08 into a fraction in its lowest terms.
What is a Fraction?
Before we dive into the conversion process, let's quickly review what a fraction is. A fraction is a way to represent a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 3/4 represents three equal parts out of a total of four parts.
Converting 0.08 to a Fraction
To convert 0.08 to a fraction, we need to find the numerator and denominator values. Here's one way to do it:
- Divide 0.08 by 1, which gives us 0.08/1.
- Multiply both the numerator and denominator by 100 to get rid of the decimal point: (0.08 × 100)/(1 × 100) = 8/100.
Simplifying the Fraction
Now that we have the fraction 8/100, we can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 8 and 100 is 4.
Divide both numbers by 4: (8 ÷ 4)/(100 ÷ 4) = 2/25.
So, the decimal number 0.08 is equal to the fraction 2/25 in its lowest terms.
Conclusion
In this article, we have successfully converted the decimal number 0.08 to a fraction in its lowest terms, which is 2/25. This is a useful skill to have, especially when working with fractions in mathematical problems.
