Back To Course

Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

Instructor:
*Sabrina Hairston*

Sabrina has taught a variety of subjects and grades as a substitute teacher and will complete her MAT in 2016.

In this lesson, you will learn what improper fractions are and how to recognize them. You will also learn how to convert and reduce improper fractions, and we'll review the concept of the greatest common factor.

An **improper fraction** is a fraction whose top number (numerator) is larger than the bottom number (denominator). An improper fraction isn't *wrong*, but since the numerator, which represents the parts of the whole, is larger, the fraction actually represents a whole number and a fraction.

Examples of improper fractions include:

To find the whole number in an improper fraction, we can convert, which is to change the fraction to a **mixed number**. A mixed number has both a whole number and a fraction. For example, if we convert the improper fractions mentioned earlier to mixed numbers, the mixed numbers would look like this:

How did we do that? In order to convert improper fractions to mixed numbers, there are a couple of steps you must take:

- First, divide the numerator by the denominator. This will give you a whole number answer.
- Second, write the remaining value above the denominator. This is the fraction part of your mixed number.

Let's try converting 8/7 into a mixed number. Start by dividing 8 by 7 to get 1. The number 1 then becomes our whole number. The remaining value is also 1. That remaining value is now our new numerator that goes over the denominator (7), giving us the fraction part of the our mixed number.

Sometimes, you'll end up with a mixed number whose fraction is not in the lowest terms, which means the numerator and denominator have no common factor except 1. To bring the fraction to the lowest terms, we **reduce** the fraction, like in the problem below:

Let's work through how we reduce that fraction. We begin by following the same process as before to create our mixed number. We divide 12 by 10 to get a whole number of 1. The remaining value (2) becomes our new numerator, which we place over the unchanged denominator (10). Now, we have our new mixed number:

But wait. There's more we can do here. Our new mixed number is not in the lowest terms. We can reduce it. In order to reduce our new mixed number, we find the greatest common factor (GCF) of the fraction. The GCF is the largest number that will divide evenly into both the numerator and the denominator. For our example, here the GCF is 2. So, we divide both the numerator and denominator by that number:

Don't forget to include the whole number to complete your mixed number:

Sometimes, you'll find that there is no remaining value when you've converted an improper fraction. In these cases, the answer is simply a whole number. Let's look at an example:

When we convert the improper fraction, we divide the numerator by the denominator (24 divided by 12):

But there's no remaining value. The answer is simply the whole number itself--in this case, 2.

An improper fraction is when the top number (numerator) is larger than the bottom number (denominator). To convert an improper fraction, divide the numerator by the denominator to get a whole number, then place the remaining value over the unchanged denominator. This gives you a mixed number, which has both a whole number and a fraction, though you may need to reduce the fraction to its lowest terms.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackWhat teachers are saying about Study.com

Already registered? Log in here for access

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
11 in chapter 3 of the course:

Back To Course

Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

- Comparing Fractions: Lesson for Kids
- Equivalent Fractions: Lesson for Kids
- How to Add Fractions: Lesson for Kids
- Fractions Games for Kids
- Fractions to Decimals: Lesson for Kids 4:13
- Fractions: Lesson for Kids 2:39
- Numerator & Denominator Lesson for Kids 3:16
- Decimals: Lesson for Kids
- Multiplying Fractions by Whole Numbers: Lesson for Kids 3:04
- How to Simplify Fractions: Lesson for Kids
- Improper Fractions: Lesson for Kids
- How to Add Mixed Fractions with Different Denominators
- Multiplying Compound Fractions
- Simplifying Compound Fractions
- Dividing Compound Fractions
- Adding Compound Fractions
- Subtracting Compound Fractions
- How to Subtract Fractions with Variables
- Multiplying Fractions with Like Denominators
- Subtracting Fractions with Like Denominators
- Reducing Fractions: Rules & Practice
- Definition of Simplest Form: Lesson for Kids
- How to Add Fractions with Unlike Denominators
- How to Subtract Fractions with Unlike Denominators
- Rules for Subtracting Fractions
- Rules for Multiplying Fractions
- Rules for Dividing Fractions
- Ordering Fractions on a Number Line
- Locating Fractions on a Number Line
- How to Add & Subtract Two Fractions with Like Denominators
- How to Find Equivalent Fractions on a Number Line
- How to Subtract Mixed Fractions with Unlike Denominators
- Go to Fractions for Elementary School

- Humanities 201: Critical Thinking & Analysis
- SH Hotels Mentorship Program
- SH Hotels Leadership Development Program Part 3 - Environmental Science & Sustainability Certificate
- SH Hotels Leadership Development Program Part 2 - Leadership Certificate
- SH Hotels Leadership Development Program Part 1 - Hospitality & Tourism Management Certificate
- CEOE English: American Literature in the 1800's
- CEOE English: English Literature in the 20th Century
- CEOE English: Types of Poetry
- Defining Critical Thinking
- Logical Fallacies & Critical Thinking
- What is the Series 65 License Exam?
- How to Pass the SIE License Exam
- What is the Series 63 License Exam?
- How to Pass a Finance Certification Exam
- What is the Series 7 License Exam?
- How to Get an SIE License
- How to Get a Series 7 License

- The Role of the Nucleus in the Cell
- SAT Reading: Passage Types, Content & Subjects
- The Miraculous Journey of Edward Tulane: Characters & Setting
- Modernism in Architecture: Definition & History
- VA Healthcare System & Benefit Programs
- Utah Real Estate Trust Accounts: Purpose & Rules
- Supported Employment & Individuals with Disabilities: Definition, Strategies & Services
- Quiz & Worksheet - Comparing Compound & Complex Sentences
- Quiz & Worksheet - The Boarded Window Plot
- Quiz & Worksheet - Symmetric Encryption
- Quiz & Worksheet - Balance in Graphic Design
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- 1st Grade Math Worksheets & Printables
- Teaching Strategies | Instructional Strategies & Resources

- Common Core Math - Algebra: High School Standards
- Introduction to Human Resource Management: Certificate Program
- Supplemental Social Science: Study Aid
- Explorations in Core Math - Geometry: Online Textbook Help
- English Composition: Certificate Program
- Help & Review for Chemical Reactions, Acids & Bases in Physical Science
- Print Concepts in Early Childhood Education
- Quiz & Worksheet - Stages of Friendship
- Quiz & Worksheet - Creating Learning Centers for Literacy Instruction
- Quiz & Worksheet - Steps of Listening in Communication
- Quiz & Worksheet - Strong Communication Skills for Leaders
- Quiz & Worksheet - Types of Foodborne Illness

- Competent Performance in Sports & Activities
- Personal Selling: Legal & Ethical Issues
- Time Management Lesson Plan
- FTCE Chemistry: Passing Score
- 8th Grade Science Projects
- Poetry for 2nd Grade
- Missouri State Standards for Math
- Sequencing Activities for Kindergarten
- Georgia Science Standards for Kindergarten
- Utah Science Standards for 4th Grade
- Computer Projects for Kids
- Arkansas Science Standards for Kindergarten

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject