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?