Fractions from Area Models

In the last lesson, you learned to draw fractions as **bar **models.

Another way to draw fractions is using **area models.** π

**Tip:** The word **model** just means a drawing that explains something. π

Here's an **area model,** or drawing, of the fraction **7/8:**

In **fraction area models,** fractions are drawn as the **area **of a **shape **like a rectangle or circle.

Here are some fraction area models for **halves**, **thirds**, **fourths**, **sixths**, and **eighths**.

Let's learn with an example:

Draw afraction area modelto represent the fraction5/6.

π The first step is to draw a **rectangular **or a **circle.**

It doesn't matter whether you use a rectangle or a circle.

The steps are the same for any shape. π€

Let's use a rectangle:

π Next, look at the **denominator **of the fraction you want to model, or draw.

**Tip**: The **denominator **describes how many equal parts the whole is divided into. It's the **bottom **part of the fraction.

The **denominator **of **5/****6** is **6**. π

β
That means you divide the rectangle into **6 equal parts**.

You can divide it **horizontally only**, **vertically only**, or **a combination of both.**

πΊ It doesn't matter how you divide the shape. Just make sure **each part has the same area.**

π Next, look at the **numerator **of the fraction you want to model.

**Tip**: The **numerator **describes the number of parts you have. It's the **top **number.

The **numerator **of **5****/****6** is **5**. π

β
That means you should color or shade in **5 out of the 6 parts **of the rectangle.

**π€ Tip: **It doesn't matter which 5 parts you will color or shade.

That's it!

You've created a **fraction bar model** for **5/6**! π

As you can see, **5 out of 6 parts **are colored.

That means **5/6 of the whole area **is colored! π

Let's say you were given this **fraction area model**. π€

Can you tell what fraction it models?

Here's how to turn fraction area models into fractions:

π First, **count **how many parts the model is divided into.

The circle is divided into **8 equal parts**.

β
That means the **denominator **of the fraction is **8**.

π Next, count how many parts of the model are colored or shaded.

**Three parts **of the model is colored.

β
That means the **numerator **of the fraction you are looking for is **3**.

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

The **fraction area model **represents **3/8**!

Great job! Now you're ready for some practice! πͺ

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