Home » Math » How to Teach Division of Whole Numbers Leading to Answers with Fractions

Here is a FREE interactive notebook to help you teach division of whole numbers leading to answers with fractions in a fun, hands-on way.

Here is a FREE interactive notebook to help you teach division of whole numbers leading to answers with fractions in a fun, hands-on way.

 

It really surprised me. They were completely baffled, The problem had seemed simple, but the looks I was getting let me know I was wrong. It really wasn’t as easy as I had thought.

There are 4 rabbits, but you only have 3 carrots. How can you feed each of them the same amount of carrots?

Seeing their confused faces, and lack of knowing where to start…. I knew some intervention was needed. A little, hands-on type intervention.

Division of Whole Numbers Leading to Answers with Fractions

I created four-word problems involving food. Children relate to feeding themselves, and I’m sure they have figured out in the past how to share something when there wasn’t enough. If you want to start even more hands-on, you could provide the actual cookies.

Give four students three cookies, and tell them they have to share it so that each kid gets the exact same amount. See what they come up with!!!

Before you start!

However you decide to do it, here are a few things you will want to remind your kiddos before you start.

  • When you divide, your answer must be in equal parts.
  • The dividend, or what is being divided up, is ALWAYS the first number in a division expression or equation. This will throw them if this is the first time seeing this. We are most comfortable seeing the first number of the expression as the larger number, not the smaller number.

Yes, you could simply teach them that the dividend becomes the numerator and the divisor becomes the denominator. What have you really taught them? Do they understand why this happens? A month down the road are they going to remember what to do when there are more rabbits than carrots? Probably not.

*This post contains affiliate links. Many are from Amazon.com.

What you need

  1. glue
  2. scissors
  3. math journal or construction paper

BookFactory Elementary School Math Journal / Classroom Math Book - 10 Pack (8.5BookFactory Elementary School Math Journal / Classroom Math Book – 10 Pack (8.5Westcott School Scissor Caddy with 24 Pointed 5Westcott School Scissor Caddy with 24 Pointed 5Elmer's All Purpose School Glue Sticks, Washable, 30 Pack, 0.24-ounce sticksElmer’s All Purpose School Glue Sticks, Washable, 30 Pack, 0.24-ounce sticks

 

How to Teach

Simply work through the problems with the kiddos on the free download.

1. Start by creating an expression with the pictures. I have to divide up three hot dogs. That is my dividend, so I will cut out three hotdogs and write the number three on the first line of my expression.

2. Four people want a hotdog. That is my divisor, so I will glue on four people and write the number 4 is my equation.

3.Now I have 3 ÷ 4.

4. So now comes the fun part. They will have to cut the hotdogs up so that everyone will get the same amount. The best way to do this is to cut each hot dog up into four parts because there are four people. Write on the hotdog what fractional part each hot dog piece represents and then divide them up equally under the people. (Since we cut them into fourths, each piece represent 1/4)

5. Add up all the pieces under one person, and you have an answer. 1/4 + 1/4 + 1/4 = 3/4

So 3 divided by 4 equals three-fourths.

The Algorithm for Division of Whole Numbers Leading to Answers with Fractions

At this point, I would highly recommend using the algorithm. If you have talked about changing remainders into decimals, then the students will quickly see how this works.

If you haven’t, this video is an awesome place to start.

Now all you have to do is repeat these steps three more times, and you will be on your way to knocking out those baffled looks when there are more rabbits than carrots.

You’ve Got This

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Need an assessment? This 10 question assessment will get your children thinking about modeling division and solving word problems.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8 thoughts on “How to Teach Division of Whole Numbers Leading to Answers with Fractions

  1. swapna says:

    Very interesting! Pinning to the practical mondays board

    (PS: are u on twitter?)

  2. swapna says:

    Very interesting! Pinning to the practical mondays board

    (PS: are u on twitter?)

  3. swapna says:

    Very interesting! Pinning to the practical mondays board

    (PS: are u on twitter?)

Comments are closed.