# Dividing a Whole Number by Unit Fraction with Tiles

Typically, in about 5th grade in the US, students learn how to divide whole numbers by unit fractions like $\boxed{ 3 \div \frac{1}{2} }$.

A unit fraction is just a fraction whose numerator is 1.

 Examples of Unit Fractions non Examples of Unit Fractions $$\bf{\frac{ \red{1}}{2 } }$$ $$\bf{ \frac{ 3}{2} }$$ $$\bf{ \frac{ \red{1}}{5} }$$ $$\bf{\frac{ 2 }{2}}$$

#### Ok, but what does this all mean ?

First, let's review dividing whole numbers by whole numbers. (We will soon see that dividing whole numbers by unit fractions has the same meaning.)

$$6 \div 3$$ means : How many groups of 3 are in 6 . As you can see, there are 2 groups of 3 in 6 .

#### Now, let's look at whole by unit fraction

We can think of 2 divided by $$\frac{1}{4}$$ as "How many $$\frac{1}{4}$$ 's are in 2 ?

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