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 make up 1.
Step 3: To make 1, it takes 5 of the fraction pieces. So, \(1÷\frac{1}{5}=5\)