*Allison Petrovic*Show bio

Allison has experience teaching high school and college mathematics and has a master's degree in mathematics education.

Lesson Transcript

Instructor:
*Allison Petrovic*
Show bio

Allison has experience teaching high school and college mathematics and has a master's degree in mathematics education.

Discover the steps to converting the improper fraction 9/4 to a mixed number. Learn about the properties of improper fractions and mixed numbers to understand their relationship. Finally, follow three easy steps to change 9/4 into a mixed number.
Updated: 12/22/2021

Imagine that your parents are ordering 3 pizzas for dinner from your favorite pizza place. Each pizza has 4 slices. Your mother says that your family can only eat 9/4 of the pizzas, as she wants to save the rest of the pies for lunch the next day. So how many pies and slices can your family eat for dinner?

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Are you a student or a teacher?

Create Your Account To Continue Watching

As a member, you'll also get unlimited access to over 84,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Get unlimited access to over 84,000 lessons.

Try it now
Replay

Your next lesson will play in
10 seconds

Before we learn exactly how much pizza your family can eat for dinner, let's go over a few definitions. The number 9/4 is what we call an **improper fraction**, or one where the numerator is bigger than the denominator. Since 9 is bigger than 4, the number 9/4 is an improper fraction.

In order to learn how much pizza your family can eat for dinner, we must change 9/4 to a mixed number. A **mixed number** has two parts: a whole number and a fraction. An example of a mixed number is 1 ½. In this example, the number 1 is the whole number and ½ is the fraction. Now, let's learn how to change the improper fraction 9/4 to a mixed number. Remember that we're looking for both parts: a whole number and a fraction.

First, let's calculate how many times 4, or the denominator, goes into 9, the numerator. The best way to do this is to use long division: 4 goes into 9 twice, with a remainder of 1. Remember, in this step, we're only looking for how many times 4 goes into 9. So, we can ignore the remainder for now. Since 4 goes into 9 two times, we can say that 2 is the whole number in our mixed number.

Now let's deal with the remainder for our long division problem. That remainder is the numerator in a mixed number; in this case, 1.

The third step in the process of converting a fraction to a mixed number is the easiest step. Remember that we still need a denominator for our mixed number. The denominator is the exact same number as the denominator in the original improper fraction; in this case, 4.

So 9/4 equals 2 1/4. Now we know that your family can eat two whole pizzas and one slice from the third pizza for dinner.

An **improper fraction** is one where the numerator is bigger than the denominator. Changing an improper fraction like 9/4 to a **mixed number**, or one that includes a whole number and a fraction, is simple.

First, divide 9 by 4. The result, or 2, becomes the whole number in the mixed number. Second, use the remainder to represent the numerator in the fractional part of the mixed number; in this case, 1. Third, recycle the denominator from the original improper fraction, or 4. Here, rewriting the improper fraction 9/4 as a mixed number gives us 9/4 = 2 ¼.

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

BackRelated Study Materials

- Math Courses
- Teacher Resources Courses
- Elementary School Courses
- Math 102: College Mathematics
- Math 103: Precalculus
- High School Precalculus: Help and Review
- Calculus: Help and Review
- AP Calculus AB & BC: Help and Review
- AP Calculus AB & BC: Homework Help Resource
- Business 110: Business Math
- AP Calculus AB & BC: Tutoring Solution
- CSET Math Subtest III (213): Practice & Study Guide
- Supplemental Math: Study Aid
- CAHSEE Math Exam: Test Prep & Study Guide
- TExES Mathematics 7-12 (235): Practice & Study Guide
- Common Core Math Grade 8 - Expressions & Equations: Standards

- Sample LSAT Analytical Reasoning Questions & Explanations
- Strategies for Analytical Reasoning Questions on the LSAT
- How to Reason Deductively From a Set of Statements
- Inferring Truth From Given Facts & Rules
- Recognizing When Two Statements Are Logically Equivalent
- Quiz & Worksheet - Comparing and Ordering Fractions
- Quiz & Worksheet - Changing Between Improper Fraction and Mixed Number Form
- Quiz & Worksheet - Math Problems Using Order of Operations
- Quiz & Worksheet - How to Find Least Common Denominators
- Quiz & Worksheet - How to Build and Reduce Fractions
- ELM Test - Numbers and Data: Decimals and Percents
- ELM Test - Numbers and Data: Irrational Numbers
- ELM Test - Numbers and Data: Data & Statistics
- ELM Test - Algebra: Basic Expressions
- ELM Test - Algebra: Exponents

- TExES Science of Teaching Reading (293): Practice & Study Guide
- Next Gen NCLEX-PN Study Guide & Practice
- Next Gen NCLEX-RN Study Guide & Practice
- TExES Core Subjects EC-6 (391): Practice & Study Guide
- TExES School Counselor (252): Practice & Study Guide
- About the VCLA Tests
- About the TExES Exams
- About the RICA Exam
- About the Praxis Tests
- About the OSAT Tests
- How to Pick Your Homeschool Curriculum
- Role of Student Support in Open & Distance Learning
- TExES Principal Exam Redesign (068 vs. 268)
- Teacher Salary by State
- ESL Resource Guide for Teachers
- What is a Homeschool Co-op?
- How to Start Homeschooling Your Children

- Mechanistic & Organic Organizational Business Structures
- Chemical Nomenclature & Notation
- Factors Impacting Family & Consumer Sciences
- Heritability Coefficient
- Bankruptcy & Insolvency Schemes
- Promoting Justice in Social Work
- Sheldon v. Sill: Case Brief & Facts
- Quiz & Worksheet - Common Health Problems in the US
- What are Dinosaurs Related to? - Quiz & Worksheet for Kids
- Quiz & Worksheet - Memory Hole in 1984
- Quiz & Worksheet - Types of Personality Disorders
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- Algebra 1 Worksheets
- Positive Behavior Support | PBIS Tips for Teachers

- 9th Grade English Textbook
- Accounting 101: Financial Accounting
- NMTA Middle Grades Social Science (202): Practice & Study Guide
- Prentice Hall World History Connections to Today Volume 1: Online Textbook Help
- Western Civilization 1648 to the Present: Help and Review
- Overview of European Colonialism
- The Central Bank & Monetary Policy
- Quiz & Worksheet - Features of Retirement and Pension Plans
- Quiz & Worksheet - Moral Hazard in Economics
- Quiz & Worksheet - Consumer Education
- Quiz & Worksheet - Effects of Employee Socialization
- Quiz & Worksheet - Empowerment in Management

- What Is the Site of Protein Synthesis?
- Franz Schubert: Biography, Music & Facts
- FTCE Professional Education Test: Passing Score
- School Closures in Massachusetts: Online Learning in MA During the COVID-19 Outbreak
- DNA Replication Lesson Plan & Activity
- WIDA Can Do Descriptors for Grades 6-8
- Spelling Activities for Kids
- What Is An Online Homeschool?
- National Bullying Prevention Month
- 4th Grade Ohio Science Standards
- Collage Lesson Plan
- How to Take Notes for the IELTS Long Turn Speaking Task

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

Create an account to start this course today

Used by over 30 million students worldwide
Browse by subject

Upgrade to enroll

Upgrade to Premium to enroll in Math for Kids

Enrolling in a course lets you earn progress by passing quizzes and exams.

Track course progress

Take quizzes and exams

Earn certificates of completion

You will also be able to:

- Create a Goal
- Create custom courses
- Get your questions answered

Upgrade to **Premium** to add all these features to your account!

Upgrade Now
Upgrade to **Premium** to add all these features to your account!