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:
*Joy Blake*

Joy has been a teacher for over ten years. She has primarily taught Middle School Math and has a Master's degree in Educational Leadership.

Maxwell can't stand fractions. He has been struggling all week. But in class, his teacher puts up an interesting rhyme that helps him learn how to multiply fractions. Read this lesson to find out the rhyme and learn how to apply it towards multiplying fractions.

Maxwell entered math class dreading the thought of learning more about fractions. His teacher hung up a poster to start the lesson. It said:

No Need for LCD

Multiplying Fractions Easy

Numerator times Numerator

Denominator times Denominator

Simplify

Maxwell's eyes focused on one word: EASY. He wondered, could multiplying fractions actually be easy? He couldn't wait to find out.

Maxwell remembered from other math lessons that LCD stands for 'least common denominator'. He discovered that the reason you don't have to find the LCD when you multiply fractions is because you simply multiply across from left to right and the denominators do NOT have to match.

The first rule in multiplying fractions is to multiply the numerators of the fractions.

The **numerator** of a fraction is the number that appears on top.

In the fraction above, the 3 is the numerator because it appears on top.

So, if we are multiplying

We have to multiply the two numerators first. The numerators in this problem are 3 and 2 because they appear on top of the fractions.

3 x 2 = 6

After multiplying the numerators from left to right, the next step is to multiply the denominators of the fractions in the problem. The **denominator** is the number that appears at the bottom of a fraction.

The 4 and 5 are the denominators in our equation because they appear at the bottom of each fraction.

4 x 5 = 20. So, the number 20 would represent the denominator of the final answer.

Our equation will look like this:

The last step in multiplying fractions is to simplify, or break down your answer to lowest terms by reducing. To simplify a fraction, you must divide the top and bottom by the highest number that can divide into both numbers exactly.

This fraction can still be reduced because both the numerator and denominator can be divided evenly by two.

This fraction is in lowest terms. (There is no number both 3 and 10 can be divided by evenly)

So the most exact answer for our problem is:

Let's practice with another problem.

Numerator x numerator. The two numerators are 6 and 1, so we will multiply 6 x 1 = 6.

Write 6 as the numerator for the answer.

Denominator x denominator. 7 and 4 are the denominators, so we will multiply 7 x 4 = 28.

Write 28 as the denominator in the answer.

Simplify -

This can be reduced or simplified by dividing the numerator and denominator by 2

Maxwell is really starting to enjoy multiplying fractions, but he wonders when he would use what he has learned in his everyday life. His teacher tells him that he may multiply fractions when cooking or building something.

His teacher gives him this word problem to solve:

Of the songs in Andrew's music library, 1/4 are rap songs. Of the rap songs, 1/2 of those feature a guest rapper. What fraction of the songs in Andrew's music library are rap songs that feature a guest rapper?

Maxwell realizes that he would have to multiply 1/4 by 1/2 to get his answer.

He multiplies 1 x 1 and gets 1. Then, he multiplies 4 x 2 to get 8. He discovers that 1/8th of the songs in the music collection feature a guest rapper.

Maxwell listens to music all the time and didn't even realize that when he sorts his music he could be multiplying fractions at the same time.

Remember these pointers to multiply fractions:

- No need for LCD
- The
**numerator**is the number on the top of a fraction - The
**denominator**is the number on the bottom of a fraction - To multiply fractions you multiply across from left to right (numerator times numerator, denominator times denominator)
- Simplify your answer to 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
27 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
- Fractions: Lesson for Kids
- Numerator & Denominator Lesson for Kids
- 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
- What is a Benchmark Fraction on a Number Line? 3:48
- 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
- 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

- 7th Grade Math: Homeschool Curriculum
- 8th Grade Math: Homeschool Curriculum
- 7th Grade Life Science: Homeschool Curriculum
- 8th Grade Language Arts: Homeschool Curriculum
- 6th Grade Math: Homeschool Curriculum
- Minnesota History, Government & Culture
- Legal & Ethical Issues for Minnesota Educators
- Creating a Positive Classroom Environment
- Modern American Poetry
- MTLE Middle Level Science: Overview of Light
- CEOE Test Retake Policy
- Study.com Customer Service FAQs: Login, Cost & Support Email
- Study.com Refund: How to Request a Refund from Study.com
- California Real Estate Exam Dates
- How to Study for the FSA Exam
- FSA Test Cost
- How to Pass the FSA Reading Test

- Individual Rights: Balance, Restrictions & the Common Good
- Principles of Composition in Graphic Design
- External Oblique: Definition, Function & Aponeurosis
- The Black Box by Jennifer Egan: Summary & Analysis
- Relationship Between Sociology & the Social Sciences
- In the Lake of the Woods Discussion Questions
- Rules of Civility by Amor Towles Discussion Questions
- Quiz & Worksheet - Waxing Moon
- Quiz & Worksheet - Stone Age Nomads & Hunter Gatherers
- Quiz & Worksheet - The Church in the Middle Ages
- Quiz & Worksheet - Elements of a Play or Film Script
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- Common Core ELA Standards | A Guide to Common Core ELA
- Kindergarten Math Worksheets & Printables

- MTTC Middle Level (085): Practice & Study Guide
- Human Resources 101: Intro to Human Resources
- Holt Psychology Principles in Practice: Online Textbook Help
- WEST Health/Fitness (029): Practice & Study Guide
- Math 106: Contemporary Math
- Probability and Statistics for Business: Help and Review
- Chapter 11: Motion
- Quiz & Worksheet - Using Simulations for Business Problems
- Quiz & Worksheet - Carrying Capacity, Migration & Dispersion
- Quiz & Worksheet - Male Reproduction Hormones
- Quiz & Worksheet - Health Challenges in America
- Quiz & Worksheet - Limiting Reactants & Excess Reactants

- Hygiene Agents Used on Skin & Mucous Membranes
- What is Bandwidth? - Usage, Limits & Measurement
- What to Study for a Citizenship Test
- Free Online High School Math Courses
- How to Learn French Quickly
- How to Send SAT Scores to Colleges
- Sequencing Activities for Preschoolers
- Thanksgiving Bulletin Board Ideas
- How to Prep for the NYS Geometry Regents Exam
- Mystery Writing Prompts
- What is the Scoring Range for the New SAT?
- How to Assign a Study.com Lesson to Your Students

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

Browse by subject