This lesson video Not available at this time available video coming soon

Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.

A fraction is a comparison of the part to the whole. When writing a fraction, we use the form 'part over whole.' The part in a fraction is called the numerator. The whole of the fraction is called the denominator.

Now that we know fractions represent a comparison of the part to the whole, let's see how to build a fraction. To build a fraction, we need to see how many whole items would be included in our set. The number of whole items in our set would be placed on the bottom as the denominator. Next, we would need to see how many parts of our set are included. The part of the set would be placed on the top of the fraction and called the numerator.

For example, Andrew coaches an area soccer team. There are 12 players on his team. At Tuesday's practice, only 8 of the players were able to attend. Andrew wants to know what fraction of his team made it to practice on Tuesday.

Andrew knows that his whole team has 12 players. The number 12 would represent the whole, also known as the denominator, and would be placed on the bottom of our fraction. There were only 8 players who showed up for practice, which is the part of the team. The number 8 would represent the part, also known as the numerator, and would be placed on the top of the fraction. Andrew can now see that only 8/12 of the team arrived at practice on Tuesday.

A fraction is considered reduced, or in simplest form, when the only value that will divide into the numerator and denominator evenly is 1. To reduce a fraction, divide both the numerator and denominator by the greatest common factor, or the GCF. Fractions can also be reduced by dividing by a common factor multiple times until the only common factor remaining is 1.

Let's check back in on Andrew after his team's practice. After practice, Andrew was discussing how only 8/12 of his team showed up for his practice with the other coaches. Andrew wanted to be sure to tell them the fraction in the simplest form. So Andrew started thinking, 'what is the simplest form of the fraction 8/12?'

Andrew starts by thinking about his numbers 8 and 12. He knows that both numbers are even, so they would both divide by 2. However, he wants to see if a larger value will divide into both numbers. Andrew realizes that both 8 and 12 will divide by 4, which would be the GCF. To simplify his fraction, he will divide both the numerator and denominator by 4. 8 divided by 4 is 2 and 12 divided by 4 is 3. Andrew can now see that 8/12 in simplest form is 2/3. Andrew can now tell the other coaches that only 2/3 of his team showed up for practice tonight. ## Lesson SummarySo in review, a fraction is a comparison of the part to the whole. When writing a fraction, we use the form 'part over whole.' The part in a fraction is called the numerator. The whole of a fraction is called the denominator. A fraction is considered reduced, or in simplest form, when the only value that will divide into the numerator and denominator evenly is 1. To reduce a fraction, divide both the numerator and denominator by the greatest common factor, or the GCF. Fractions can also be reduced by dividing by a common factor multiple times until the only common factor remaining is 1. ## Learning OutcomeAfter watching this lesson, you should be able to understand how to build and reduce fractions using a greatest common factor (GCF). |

How to Find Least Common Denominators

Comparing and Ordering Fractions

Changing Between Improper Fraction and Mixed Number Form

How to Add and Subtract Like Fractions and Mixed Numbers

How to Add and Subtract Unlike Fractions and Mixed Numbers

Multiplying Fractions and Mixed Numbers

Dividing Fractions and Mixed Numbers

Practice with Fraction and Mixed Number Arithmetic

Estimation Problems using Fractions

Solving Problems using Fractions and Mixed Numbers

- What are the Different Types of Numbers?
- How to Build and Reduce Fractions
- What is a Decimal Place Value
- Statistical Analysis with Categorical Data
- What is a Variable in Algebra?
- What Are the Five Main Exponent Properties?
- What is a Linear Equation?
- What is an Absolute Value?
- What are Polynomials, Binomials, and Quadratics?
- How to Add and Subtract Rational Expressions
- Perimeter of Triangles and Rectangles
- Properties of Shapes: Rectangles, Squares and Rhombuses
- What Is a Number Line?
- Graph Functions by Plotting Points
- What is a Linear Equation
- How to Write Well: What Makes Writing Good?
- What Are Literary Motifs?
- How to Evaluate Reasoning
- Reading Comprehension Techniques for the GMAT
- How to Organize an Essay
- How to Structure Sentences in an Essay
- Using Rhetorical Skills to Write Better Essays
- How to Write a Great Essay Quickly
- GMAT Registration Information

- Overview of the GRE Analytical Writing Measure
- What is the GRE?
- Picture Pattern Mirror and Water Images
- Analyzing a Literary Passage
- How to Add and Subtract Rational Expressions
- Department of Explosives, MOIP, Government of Pakistan
- Analyze a Literary Passage
- What is a Linear Equation?
- How to Study for the GAT While Working in a Demanding Job
- Identifying and Correcting Clause Errors
- Science and Technology
- Five Main Exponent Properties
- Graph Functions by Plotting Points
- How to Structure Sentences in an Essay
- How to Identify Wrong use of Word?

EntryTest.com is a free service for students seeking successful career.

CAT - College of Admission Tests. All rights reserved. College of Admission Tests Online Test Preparation The CAT Online