# Area Models Unveiled: How to Divide Unit Fractions by Whole Numbers

Area models provide a visual representation that makes understanding division of unit fractions by whole numbers more intuitive. A unit fraction, as you might recall, has a numerator of 1. Let's delve into how to use area models for this division process.

The Process Explained:

1. Draw a rectangle to represent the whole number.

2. Partition the rectangle based on the denominator of the unit fraction.

3. Determine how many of those partitions fit into the whole number.

## Dividing Unit Fractions and Whole Numbers Using Area Models

### Example 1:

Divide \( \frac{1}{4} \) by 2 using an area model.

Solution Process:

Draw a rectangle representing 2 wholes. Partition each whole into 4 equal parts (representing \( \frac{1}{4} \)). Count how many \( \frac{1}{4} \) partitions fit into 2 wholes.

**Answer:**

There are 8 partitions of \( \frac{1}{4} \) in 2 wholes, so \( \frac{1}{4} \) divided by 2 is 8.

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### Example 2:

Divide \( \frac{1}{3} \) by 3 using an area model.

Solution Process:

Draw a rectangle representing 3 wholes. Partition each whole into 3 equal parts (representing \( \frac{1}{3} \)). Count how many \( \frac{1}{3} \) partitions fit into 3 wholes.

**Answer:**

There are 9 partitions of \( \frac{1}{3} \) in 3 wholes, so \( \frac{1}{3} \) divided by 3 is 9.

Using area models to divide unit fractions by whole numbers offers a tangible and visual method to understand the division process. It allows you to see how many times a unit fraction fits into a given whole number. This method is especially beneficial for visual learners and those new to the concept of dividing fractions. So, the next time you encounter a problem involving the division of a unit fraction by a whole number, think in terms of area models and visualize your path to the solution!

### Practice Questions:

1. Divide \( \frac{1}{5} \) by 4 using an area model.

2. Divide \( \frac{1}{6} \) by 2 using an area model.

3. Divide \( \frac{1}{8} \) by 3 using an area model.

4. Divide \( \frac{1}{7} \) by 5 using an area model.

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**Answers:**

1. 20

2. 12

3. 24

4. 35

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