Halves, Thirds, and Fourths

Have you heard people say things like these? π

Do you wanthalfof my burger? π

I'm so hungry I could eat athirdof the watermelon. π

Could you cut me afourthof the chocolate cake? π

It'shalfpast your bedtime. β°

I ate athirdof the box of cookies. πͺ

Do you realize that all these sentences use **fractions**? π€

**Fractions **are parts of a whole.

In this lesson, we'll learn about the fractions people use **most often**. These are: **halves**, **thirds**, and **fourths**. π

If we divide a whole into **2 equal parts**, each part is a **half**.

We make a **half** by **dividing a whole by 2**.

If we have more than one **half,** we write it as **halves.**

So 1 half, 2 halves, 3 halves, ...

If we divide a whole into **3 equal parts**, each part is a **third**.

We make a **third** by **dividing a whole by 3**.

If we have more than 1 **third**, we write it as **thirds**.

So 1 third, 2 thirds, 3 thirds ...

If we divide a whole into **4 equal parts**, each part is a **fourth**.

A **fourth **is obtained by **dividing the whole by 4**.

Let's look at an example!

Beth, Faye, and Sasha went to the bakeshop. Each of them purchased adozenblueberry muffins. When they got home, Beth ate afourthof her muffins. Faye atehalfof her muffins, and Sasha ate athirdof her muffins. How many muffins did each of them eat?

Do you remember what a **dozen **means? π€Β

That's right!

πA** dozen** means 12! So, each of them purchased 12 muffins.

Beth ate afourthof her muffins.

π€ If we look at the picture, we can see that Beth's 12 muffins are** divided into four equal parts**.

π Each part has 3 muffins.

β
If Beth at 1 part, or 1 fourth, that means Beth ate **3 muffins**.

We can also get this by using division. πΒ

To get a **fourth **of something,** divide it by 4.**

How many muffins do we have for the whole?

That's right, 12! πΒ

β Dividing 12 by 4, we get 3!

Faye atehalfof her muffins.

π€ If we look at the picture, we can see that Faye's 12 muffins are** divided into two equal parts**.

π Each part has 6 muffins.

β
That means Faye ate **6 muffins**.

We can also get this by dividing.

To get **half of something**, just **divide it by 2!**

β Dividing 12 by 2, we get 6!

Sasha ate athirdof her muffins.

π€ If we look at the picture, we can see Sasha's 12 muffins are** divided into three equal parts**.

π Each part has 4 muffins.

β
Since Sasha ate one part, that means Sasha ate **4 muffins**.

We can also get this by using division.

To get a **third **of something, **divide it by 3**.

β Dividing 12 by 3, we get 4!

Look at this example.

Rupert and Tommy went to the hardware store. Each of them purchased a rope 20 feet long. Rupert usedhalfof his rope to fix their fence, and Tommy used afourthof his rope for an art project. How much rope did each of them use?

Let's start with Rupert. πΒ

Rupert used **half **of his rope to fix their fence.

How much rope did Rupert have? π€Β

That's right, 20 feet! πΒ

How do we get half of 20 feet? π€Β

That's right!

π To get** half**, we** divide the whole by 2**.

β 20 feet divided by 2 is 10 feet!

Half of Rupert's rope is **10 feet. **This is what he used to fix his fence.

Now let's see how much rope Tommy used.

Tommy used a **fourth **of his rope on an art project.

How much rope did Tommy start with? π€Β

That's right, 20 feet! πΒ

How do we get one fourth of 20 feet? π€Β

That's right!

π To get a** fourt****h**, we need to** divide the whole by 4**.

β 20 feet divided by 4 is 5 feet.

A fourth of Tommy's rope is **5 feet. **He used it on his art project.

Wasn't that fun? πΒ

You've mastered the most common fractions! πΒ

Now on to some practice! πͺΒ

Teachers:

Create your own self-paced, self-grading lessons.

Try our Lesson Builder tool!Unlimited Student Learning

Award-winning self-paced lessons β’ Adaptive technologies fill gaps in knowledge β’ Individual student profiles β’ Progress tracking β’ AI learning tools like the popular 'Part of Speech Identifier'.

Teacher Tools

Assign time-saving, self-grading worksheets β’ Ensure no child falls behind with automatically assigned extra work β’ Use Clever login to auto-roster students β’ Great at school and at home. β’ Student analytics

Full Library Access

View and assign over 2,500 lessons written to grade and 20,000+ questions covering Common Core Standards in the growing library β’ Duplicate and improve on any existing lesson or worksheet, or make your own.

Parent

Teacher

Up to 5 students

$39.99 / Year

$6.99 / Month$3.33 / Month

You save $43.89 with the annual plan

7 day free trial