If you are trying to figure out what 8.75 is as a fraction, you have come to the right place. In this article, we will discuss what a fraction is, how to convert decimals to fractions, and how to simplify fractions. We will also provide step-by-step instructions on how to convert 8.75 to a fraction. So, let’s get started!
Understanding Fractions
A fraction is a way to represent a part of a whole. Fractions consist of two numbers: a numerator and a denominator. The numerator represents the part of the whole that you are interested in, and the denominator represents the total number of parts that make up the whole. For example, in the fraction 3/4, the numerator is 3 and the denominator is 4.
Converting Decimals to Fractions
To convert a decimal to a fraction, you need to follow a few simple steps. First, write down the decimal as a fraction with a denominator of 1. For example, 0.75 can be written as 0.75/1. Next, multiply both the numerator and the denominator by 10 until the decimal is eliminated. In the case of 0.75, you would multiply both the numerator and the denominator by 100, giving you 75/100. Finally, simplify the fraction by dividing both the numerator and the denominator by their greatest common factor. In this case, the greatest common factor is 25, so 75/100 simplifies to 3/4.
Simplifying Fractions
Fractions can often be simplified to make them easier to work with. To simplify a fraction, you need to divide both the numerator and the denominator by their greatest common factor. For example, the fraction 8/12 can be simplified by dividing both the numerator and the denominator by 4, giving you 2/3.
Converting 8.75 to a Fraction
Now that we understand how to convert decimals to fractions and how to simplify fractions, let’s convert 8.75 to a fraction. First, we write down 8.75 as a fraction with a denominator of 1: 8.75/1. Next, we multiply both the numerator and the denominator by 100 to eliminate the decimal: 875/100. Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common factor. In this case, the greatest common factor is 25, so 875/100 simplifies to 35/4.
Therefore, 8.75 as a fraction is 35/4.
Conclusion
In conclusion, 8.75 as a fraction is 35/4. Remember that a fraction represents a part of a whole, and can be converted from a decimal by following a few simple steps. It is also important to simplify fractions whenever possible to make them easier to work with.
FAQs
- What is a fraction? A fraction is a way to represent a part of a whole. Fractions consist of two numbers: a numerator and a denominator.
- How do you convert a decimal to a fraction? To convert a decimal to a fraction, write down the decimal as a fraction with a denominator of 1, multiply both the numerator and the denominator by 10 until the decimal is eliminated, and simplify the fraction by dividing both the numerator and the denominator by their greatest common factor.
- How do you simplify a fraction? To simplify a fraction, divide both the numerator and the denominator by their greatest common factor.
- What is the greatest common factor? The greatest common factor is the largest number that divides evenly into both the numerator and the denominator of a fraction.
