Order Fractions with Equal Numerators

So far, you've learned that a **fraction** tells us about parts of a** ** whole.

It has a denominator and a numerator.

The **denominator **tells us about the total number of equal parts.

The **numerator** tells us about the parts we're talking about.

This triangle is divide into 3 parts.

**👉 1/3** of it is blue.

When we order fractions, we need to compare them.

Let's compare these two fractions.

The **numerators are the same** but their **denominators are not**.

👉 Let's **use models or drawings **to show the two fractions.

On the left, we have a circle that's divided into 4 equal parts.

On the right, we have a same-sized circle that's divided into 8 equal parts.

1 part in each fraction is colored.

By looking at the colored parts, which fraction do you think is greater?

You're right!

1/4 is greaterthan 1/8.

Imagine it this way...

The circle is a cake that you're sharing with friends. If you divide it into 4 slices instead of 8, you get a larger slice of the cake.

👉 Another way to compare these two fractions is to look at their numerators and denominators.

**(1) First,** we look at their numerators.

They have the same numerators.

They're both 1.

**(2) Next,** we look at their denominators and compare them.

We see that they're not the same.

What do the denominators mean?

Asmaller denominatormeans the whole is divided into less parts. If a whole is divided intoless parts,then itsparts are bigger.

In our example, 1/4 has a bigger denominator than 1/8.

1/4 is greaterthan 1/8.

Remember these when comparing **fractions with the same numerators**:

The fraction with thesmaller denominatorisgreater.The fraction with thebigger denominatorisless.

Now let's try to order some fractions.

👉 Arrange these fractions from **smallest to greatest.**

We see that they have the **same numerators**.

So, we compare their denominators.

How do we order them from smallest to greatest?

1/8 is smallest and 1/4 is greatest.

Great job! 👏

Now, you can move on to practice. 💪

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