Fractions

How to Multiply Fractions (like 2/3 x 5 ) with Free Online Tutoring in Math

How to Multiply Fractions (like 2/3 x 5 )

Multiplying a whole number by a fraction, like 2/3 x 5 can be very confusing.  Why is the answer smaller than 5?  Shouldn’t the answer be bigger if you’re multiplying?  When children are taught to illustrate a mathematical model, they can easily see why 2/3 x 5 is smaller than 5.  Unless children are taught to illustrate the multiplication of the fractions, they often never fully understand what is happening with the fractions.  This leaves children with a limited understanding, which can be frustrating and confusing as they enter higher levels of mathematics.

This is the eighth article  in a series of eleven that follow a cyclical learning approach.  Each article is a complete lesson on fractions that takes children step-by-step through the process of learning fractions.  By creating mathematical models, your child will gain a deeper and more concrete understanding of multiplying fractions by whole numbers.  This deeper understanding will help to ensure a successful educational career. 

Articles within this series on Fractions:

  1. How to do fractions, Free Online Tutoring in Math for Understanding Fractions
  2. How to Add Fractions (like 4/7 + 3/7 )
  3. How to Subtract Fractions (like 8/9 – 4/9 )
  4. How to Add Fractions with Unlike Denominators (like 2/3 + 3/4 )
  5. How to Subtract Fractions with Unlike Denominators (like 2/3 – 1/4)
  6. How to Add Fractions that are Mixed Numbers (like 2 & 3/4 + 3 & 5/6 )
  7. How to Subtract Fractions that are Mixed Numbers (like 3 & 3/4 – 2 & 5/6)
  8. How to Multiply Fractions (like 2/3 x 5 )
  9. How to Divide Fractions (like 6 ÷ ¾ )
  10. How to Multiply Fractions (like 2/3 x 1/4)
  11. How to Divide Fractions (like ½ ÷ ¼)

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How to Multiply Fractions
Online Tutoring in Math: Challenge
1
Watch Me
Evian Drinking Kangaroo

You are a scientist studying the strange occurrence of a kangaroo that drinks nothing but Evian water.  You are tasked with the job of making sure that the kangaroo drinks the correct amount of water.  You have 5 bottles of Evian water.  You must feed the kangaroo exactly 2/3 of the Evian water.

How much water will you give the kangaroo?

Watch this Free Tutoring for Math Video!

Press PLAY and Watch this Free Tutoring for Math Video below.  Then copy these strategies into your notes!

 

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It is about a young lady in the time of the Pharos.  She is quite the heroine. This book dovetails perfectly with the sixth grade standard of studying Ancient Egypt.

Could your child benefit from a little One-On-One tutoring?

The problem below is called a “Work with Me” challenge.  This challenge encourages your child to work step-by-step along side me to solve this challenge.  All of the following challenges are called “On Your Own” challenges.  However, many of my students who struggle with fractions will do five or six of the “On Your Own” challenges as a “Work with Me” challenge.  They play the video, pause it, and copy the strategies until they feel comfortable and confident.  Doing the problems as a “Work with Me” challenge is like having a personal tutor.

How to Multiply Fractions
Online Tutoring in Math: Challenge 2
Work With Me
Long-Eared Carrot Eaters

Ever since you were tiny-tiny you loved bunnies.  For your last birthday, your parents bought you two baby bunnies.  You love petting their long ears as they nibble away at their food.  Last night you gave them 6-carrots.  They ate 4/7 of the carrots.

How much did your Long Eared Carrot Eaters eat?

Watch this Free Tutoring for Math Video!

Gather your materials and press PLAY.  We’ll solve this problem together, while you watch the math tutorial video below.
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I have scaffold the problems in each lesson. 

The first problem in this article is a “Watch Me” problem.  The second is a “Work with Me” problem.  All the rest are “On Your Own” problems. 

*If your child needs a bit more support, they should complete the “On Your Own” problems as a “Work with Me” problem.  I have a number of students with gaps in their learning and others with a variety of  learning disabilities.  I have had incredible success, by having those students complete 5 to 7 problems within each lesson as a “Work with Me” problem.  They play a bit of the video, then pause it  and copy, then watch a bit more, pause it and copy.  My students Play – Pause – and Copy until the entire problem is solved.  This is like having a personal tutor working through each and every problem with your child.  Every one of my students who has used this strategy has passed the Common Core Proficiency Exam.

How to Multiply Fractions
Online Tutoring in Math: Challenge 3
On Your Own
Pink Flamingo Research

You are a biologist researching pink flamingos and their diet.  You are tasked with the job of discovering how much they eat.  You watch as a pink flamingo eats 11 shrimp.  However, you notice that the flamingo only eats 3/4 of each shrimp.  The flamingo spits the rest of the shrimp into the water, where tiny fish nibble at the remains.

How much shrimp have you observed the pink flamingoes eat?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Do your children get frustrated when they make a mistake?

We all make mistakes.  As a matter of fact, making mistakes is an essential part of the learning process.  This is why at the end of each of the following “On Your Own” challenges I encourage children to fix their mistakes.  Finding and fixing your own mistake is the fastest way to learn.

How to Multiply Fractions
Online Tutoring in Math: Challenge 4
On Your Own
Peter Piper the Pretty Praying Mantis

You have a pet Praying Mantis named Peter Piper the Pretty Praying Mantis.  He is your favorite pet.  Not only is he unique, quirky, and pretty, but he eats the mosquitoes that try to bite you.  However, Peter Piper does not care for the legs, so he only eats 4/5 of each mosquitoes.  Yesterday, Peter Piper ate 7 mosquitoes.

How much did Pete Piper the Pretty Praying Mantis actually eat?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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How to Multiply Fractions
Online Tutoring in Math: Challenge 5
On Your Own
Thor the Thirsty Rhino

Thor the Thirsty Rhino is searching the arid African Plains for a watering hole.  He is so thirsty that he can think of little else.  In the past week he has only found 4 small ponds.  He drank 2/3 of a quart from each pond.

How many quarts of water has Thor the Thirsty Rhino drank in the past week?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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How to Multiply Fractions
Online Tutoring in Math: Challenge 6
On Your Own
Crazy Zed the wondering Dragon Fly

Crazy Zed the Wandering Dragon Fly loves nothing more than flying this way and that.  He never flies in a straight line.  According to Zed, “That is BORING!”  For every mile that Zed flies he is zig-zagging and off course 2/5 of the time.

If Crazy Zed flies 8 miles, how much of the time is he off course?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

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How to Multiply Fractions
Online Tutoring in Math: Challenge 7
On Your Own
Amos the Angry Kitten

Amos is always angry.  No one knows why he is so angry.  Some people think it’s because he has never caught a mouse.  The mice in his barn are constantly taunting him.  Amos races to get them, but they always escape, sticking their tongues out and laughing at him.  Whatever the reason, Amos is angry 5/6 of every day.

What portion of the last 3 days has Amos the Angry Kitten been mad?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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How to Multiply Fractions
Online Tutoring in Math: Challenge 8
On Your Own
Lapping Larry

Lapping Larry has a favorite pond.  It is the only place he goes to drink.  The water is always cool and refreshing.  Lapping Larry does exactly 6 laps of his tongue each time he visits this pond.

If he gets 2/7 cup water with each lap of his tongue, how much water does Lapping Larry drink each time he visits this pond?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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How to Multiply Fractions
Online Tutoring in Math: Challenge 9
On Your Own
Edward Elephant

Edward Elephant recently found out about his distant relatives – the Wooly Mammoths.  His older brother, who always teases Edward, told him that if he drinks 5 trunkfuls of water from the magical river, he will grow a thick coat of fur and look like a wooly mammoth.  Edward drinks five trunkfuls from the river every day.

However, he spills 2/3 of a trunkful each time he drinks.  How many trunkfuls of “magical water” does Edward spill each day?

complete her race?Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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How to Multiply Fractions
Online Tutoring in Math: Challenge 10
On Your Own
Ollie the owl

Ollie the Owl thinks he is royalty, because his pet human is constantly worshiping him.  According to Ollie, his human prepares a special meal each morning.  Then his human pet places Ollie on a specially designed leather armrest and parades Ollie all over town, while other humans throw money at their feet.  Ollie is presented to the townspeople 5 days a week.  He spends 3/5 of his waking hours giving a royal nod as his subjects throw money at his pet’s feet.

How much of his waking hours is Ollie the Owl paraded around the town?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Drill & Kill

Here is where we Drill until we Kill all our mistakes!

  1. The following problems can all be solved with the same strategies we used to solve the first ten problems.
  2. Solve all four problems on each page.
  3. Watch the video & correct your work.
  4. Review your work with your teacher.
  5. If you get all 4 problems correct, your parent or teacher may tell you that you’re ready to move to the next book within this series.

Good Luck!

Drill & Kill Any Mistakes
Challenge
11

Problem 1

2/3 x 5 = ?

 

Problem 2

4 x 2/7 = ?

 

Problem 3

3 x 4/6 = ?

 

Problem 4

1/6 x 8 = ?

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
12

Problem 1

3 x 1/3 = ?

 

Problem 2

5/7 x 4 = ?

 

Problem 3

5 x 2/5 = ?

Problem 4

7/9 x 2 = ?

 

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
13

Problem 1

3/5 x 7 = ?

 

Problem 2

3 x 1/7 = ?

 

Problem 3

2/6 x 2 = ?

 

Problem 4

4 x 1/3 = ?

 

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
14

Problem 1

3 x 1/4 = ?

 

Problem 2

1/2 x 5 = ?

 

Problem 3

3 x 1/5 = ?

 

Problem 4

1/9 x 2 = ?

 

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
Need Help with Multiplication?

I have a series on Multiplication that is specifically designed for children who do not have all of their multiplication facts memorized.   The series is designed in a similar manner to this series on division, where each and every problem is linked to a video tutorial.  Here is a link to my series on Multiplication.

Need Help with Division?

I have a series on division that is specifically designed for children who do not have all of their multiplication facts memorized.   The series is designed in a similar manner to this series on multiplication, where each and every problem is linked to a video tutorial.  Here is a link to my series on Division.

Thank you for reading this article!

Want More Tutorials?

TeachersDungeon is an Educational Fantasy Game.  It is 100% FREE!  The game is set to the Common Core Educational Standards, and is web-based, so it can be played on any device.  Many of the questions are accompanied by tutorials like the ones you saw here.

One Last Thing

If you like this post and found it helpful, please leave a brief comment.   As a teacher, perhaps the greatest reward I receive is from parents, children, and fellow teachers who use my strategies of education and succeed.

My mission in life and as an educator is to make people feel empowered, self-assured, and happy about who they are in this world!  We all have gifts to bestow upon our world.  Go forth and do so, and know that you are awesome!

Have a fantastic day – Brian McCoy

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