How to Use Models to Divide Whole Numbers by Unit Fractions?

In this step-by-step guide, you will learn how to use models and visual shapes to divide whole numbers by unit fractions.

How to Use Models to Divide Whole Numbers by Unit Fractions?

Step-by-Step Guide Using Models to Divide Whole Numbers by Unit Fractions

A fraction contains a number with a denominator and a numerator.
To divide a whole number by a unit fraction, you have to follow these steps:
Step 1: Place the whole number over the \(1\).
Step 2: Flip the denominator and the numerator. It means \(1\) becomes a numerator and that whole number becomes the denominator.
Step 3: Multiply the numbers.

Using Models to Divide Whole Numbers by Unit Fractions – Examples 1

Divide \(4÷\frac{1}{2}\). Use the models to help you.

Solution:

Step 1: Model the whole number \(4\).
Step 2: Model \(\frac{1}{2}\) and find out how many fraction pieces makeup \(4\).
Step 3: To make \(4\), it takes \(2\) of the fraction pieces. So, \(4÷\frac{1}{2}=8\).

Using Models to Divide Whole Numbers by Unit Fractions – Examples 2

Divide \(1÷\frac{1}{5}\). Use the models to help you.
Step 1: Model the whole number \(1\).
Step 2: Model \(\frac{1}{5}\) and find out how many fraction pieces makeup \(1\).
Step 3: To make \(1\), it takes \(5\) of the fraction pieces. So, \(1÷\frac{1}{5}=5\)

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