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.

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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