Reducing Fractions To Lowest Terms Worksheet With Answers Pdf

Reducing fractions to lowest terms is an essential skill that every student studying mathematics ought to understand. When a fraction is written in its lowest terms, it means that both the numerator and the denominator have no common factors other than one. It is a critical step in solving mathematical problems involving fractions such as addition, subtraction, multiplication, and division. In this article, we will look at the concept of reducing fractions to their lowest terms and provide a worksheet with answers for students to practice.

Understanding Fraction Basics

Before we dive into reducing fractions, let's take a quick look at the basics. A fraction is a number that represents a part of a whole. It consists of two parts: the numerator and the denominator. The numerator represents the number of parts, while the denominator represents the total number of parts that make up the whole.

For example, in the fraction 3/4, the numerator is 3, which means there are three parts, and the denominator is 4, which means that there are a total of four parts making up the whole. Hence, 3/4 means three out of four parts.

Reducing Fractions to Lowest Terms

When a fraction is not in its lowest terms, it means that both the numerator and the denominator have factors other than one in common. For instance, the fraction 4/8 can be reduced to its lowest term by dividing both the numerator and the denominator by their greatest common factor, which is 4. Hence, 4/8 can be reduced to 1/2.

The easiest way to reduce a fraction to its lowest terms is to divide both the numerator and the denominator by their greatest common factor (GCF). The GCF is the largest factor that is common to both the numerator and denominator. Here's an example:

Reduce the fraction 12/24 to its lowest terms.

To find the GCF of 12 and 24, we list their factors:

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor of 12 and 24 is 12. Thus, divide both the numerator and denominator by 12 to get:

Related PDF

12/24 = 1/2

Now that we understand how to reduce fractions to their lowest terms let's look at some examples in the form of a worksheet.

Worksheet on Reducing Fractions to Lowest Terms with Answers

The worksheet below contains a series of fractions that have to be reduced to their lowest terms. Students can use this worksheet to practice and improve their skills in reducing fractions. The answers to the worksheet are provided at the end for self-evaluation.

Click here to download the worksheet as a PDF file.

Worksheet

Reduce the following fractions to the lowest terms:

12/18 =
16/24 =
20/30 =
24/36 =
28/35 =
32/48 =

Answers

The worksheet above is an example of the kind of questions students can expect when practicing how to reduce fractions to their lowest terms. By practicing different examples, students can become more comfortable with the concept of reducing fractions and be better equipped to handle more complex problems.

Summary

Reducing fractions is a fundamental concept in mathematics that students need to master. It requires an understanding of the basics of fractions and the ability to find the greatest common factor of the numerator and denominator. By using the worksheet above, students can practice reducing fractions to their lowest terms and become more comfortable with the concept. Remember, practice makes perfect!