# How to Express 8.75 as a Fraction: A Comprehensive Guide

2 min readAs a student, you may be wondering how to express 8.75 as a fraction. This is an important skill to learn as it can come in handy in many mathematical calculations. In this article, we will discuss the different ways to express 8.75 as a fraction, and how to simplify the fraction.

**Understanding Fractions**

Before we dive into expressing 8.75 as a fraction, it is important to understand what a fraction is. A fraction is a mathematical expression that represents a part of a whole. It is made up of two parts: the numerator and the denominator. The numerator represents the number of parts we are interested in, and the denominator represents the total number of parts. For example, in the fraction 3/4, the numerator is 3, and the denominator is 4.

**Expressing 8.75 as a Fraction**

There are a few different ways to express 8.75 as a fraction. One way is to write it as a mixed number. To do this, we would write 8.75 as the sum of a whole number and a fraction. We can see that 8 is the largest whole number that is less than 8.75, so we can write:

8.75 = 8 + 0.75

The whole number 8 is the integer part of the mixed number, and 0.75 is the fractional part. To write this as a mixed number, we simply write:

8.75 = 8 3/4

Another way to express 8.75 as a fraction is to write it as an improper fraction. To do this, we multiply the whole number by the denominator of the fraction, and add the numerator. We then write this as the numerator of the improper fraction, and use the denominator of the original fraction.

8.75 = (8 x 4 + 3) / 4

8.75 = 35 / 4

Therefore, 8.75 can be expressed as the improper fraction 35/4.

**Simplifying the Fraction**

If we want to simplify the fraction 35/4, we need to find the greatest common factor (GCF) of the numerator and the denominator, and divide both by this factor. In this case, the GCF of 35 and 4 is 1, so we cannot simplify the fraction any further.

**Using Decimal Points**

Another way to express 8.75 is as a decimal. A decimal is a way to represent a fraction using a base 10 number system. We can see that 8.75 is equal to 8 + 0.7 + 0.05. In other words, the digit in the tenths place is 7, and the digit in the hundredths place is 5. Therefore, we can write:

8.75 = 8.75

**Applications of Expressing 8.75 as a Fraction**

Expressing 8.75 as a fraction can be useful in many mathematical calculations. For example, if we want to add or subtract 8.75 from another number that is expressed as a fraction, we need to express 8.75 as a fraction as well.

**Conclusion**

In conclusion, 8.75 can be expressed as a mixed number, an improper fraction, or a decimal. To simplify the fraction, we need to find the GCF of the numerator and denominator. Expressing 8.75 as a fraction is an important skill to learn, as it can come in handy in many mathematical calculations.