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. For additional educational resources, visit the U.S. Department of Education website.
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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. For additional educational resources, visit the U.S. Department of Education website.
Using Models to Divide Whole Numbers by Unit Fractions – Examples 1
Divide \(4÷\frac{1}{2}\). Use the models to help you. For additional educational resources, visit the U.S. Department of Education website.
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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