Fractions on Number Lines

Aside from using **bar models**** ** and **area models**, another way to think about fractions is to think about them as **numbers **on a **number line**.

Because fractions are **parts of one whole**, they go somewhere between 0 and 1 on the number line.

Showing fractions on a number line can help you **compare **fractions.

Let's try an example.

Show the fractions1/4and3/4on a number line.

π The first step is to draw a number line that **spans from 0 to 1.**

This will serve as your **one whole**. π

π€ It doesn't matter how long the number line will be, as long as it goes from 0 to 1.

π Be sure to mark 0 on one end, and 1 on the other end.

π Next, look at the **denominator **of the fraction you want to show.

Do you still remember what a **denominator **is? π€

That's right!

**Denominator **shows the total number of parts the whole is divided into. It's the **bottom **number in a fraction.

Since you want to show the fraction **1/4**, you need to divide the number line into** 4 equal parts** or segments. π

π Now you have **4 equal parts **on the number line.

**Tip:** To make 4 parts, you only have to draw 3 marks! π

π **Each part **of this number line is **1 out of 4 equal parts.**Β

This means that each part in this number line shows **1/4**.

Let's show the fraction **3/4 **this time.

Look at the **numerator**.

Do you remember what **numerator **is?

That's right!

The **numerator **shows the parts that we have. It's the **top **number.

This means that the fraction **3/4 **is **3 out of 4 equal parts**.

So, count 3 parts from 0 and you will get **3/4**.

That's it!

You've shown the fractions **1/4 **and **3/4 **on a number line!

Let's learn with an example.

What fraction is shown by the yellow part on the number line?

π First, count the number of parts the number line was divided into.

The total number of parts is the **denominator**.

**π€ Tip: **Be sure to only count the parts between 0 and 1.

β
The number line is divided into **4 equal parts**.

This means the **denominator **is **4**. π

π Next, count the number of parts that are colored - this is your **numerator.**

There are **2 colored parts**.

This is the **numerator**. π

π The last step is to combine the numerator and the denominator to make the fraction.

That means the number line shows the fraction **2/4**!

Great job!

Now you know how to show and read fractions on a number line. π

Now get ready for some practice. πͺ

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