Relating Fractions to Division

Relating Fractions to Division

When you see a fraction, divide is the action.

3 doughnuts left

If we divide each left over doughnut in fifths (the number of people to share the doughnuts with), the fraction will look like this...

 $\frac{15}{5}$  

Improper Fraction

 $\frac{15}{5}$ 

Where 15 is the total number of pieces, and 5 the number that each doughnut is divided into.

 $\frac{15}{5}\ =\ 15\div5$  

Each person gets $\frac{3}{5}$ of the leftover doughnets

Division statements can be written as a fraction

Eight doughnuts shared among 5 people is writter as

  $8\div5$  or  $\frac{8}{5}$  

1 doughnut for each.

Division statements can be written as a fraction

The 3 left over are shared among 5 people. This is written as 

 $3\div5$  or  $\frac{3}{5}$  

1 $\frac{3}{5}$ doughnuts for each.

Division statements can be written as a fraction

We write 1 R3 as ...

1 $\frac{3}{5}$  

Open Ended

REFLECT...

How are  $\frac{13}{5}$   the same as  $13\div5$  ?