1. Dividing whole numbers and fractions

2. 18 1 3 ÷ 6 How many servings were in 3 packages?
Marshall’s mom is buying 3 packages of rolls for Sunday dinner. One serving is of a package. How many servings does she have? 1 6 1 6
3 ÷
To solve, let’s make a model of 3 packages.
Divide each package into sixths to represent each serving.
How many servings were in 3 packages? 18

3. 20 1 5 ÷ 4 How many pieces would she have?
Brandy has 5 yards of ribbon. She wants to divide the ribbon into fourths. How many pieces of ribbon would she have? 1 4
5 ÷
To solve, let’s make a model of 5 yards of ribbon.
Divide each yard into fourths to represent each piece.
How many pieces would she have? 20

4. 1 2 ÷ 8 16 How many servings would he have?
Stephen wants to divide two pies into eighths.
How many servings would he have? 1 8
2 ÷
To solve, let’s make a model of 2 pies.
Divide each pie into eighths to represent each serving.
How many servings would he have? 16

5. Let’s try to figure out the rule…..

6. Three packages of rolls divided by 1/6
5 ribbons divided into fourths
2 pies divided into eighths
3 ÷ 1 6
5 ÷ 1 4
= 18
2 ÷ 1 8
= 20
= 16

7. Reciprocal of a Fraction
Switch the Numerator and Denominator

8. Examples
Fraction Reciprocal

9. Multiply by the Reciprocal
Rule :
Multiply by the Reciprocal

10. Let’s try a few problems using the algorithm
6 ÷ = ÷ =
5 ÷ = ÷ =
6 x =
6 1 x = 42
8 x =
8 1 x = 80
5 x =
5 1 x 3 2 =
15 2 =
7 1 2
7 x =
7 1 x 6 5 =
42 5 =
8 2 5

11. Dividing fractions by whole numbers works a little differently.
Meghan has pan of cornbread left. She wants to divide it into 5 servings to give to her siblings. How much of a serving will each sibling receive? 1 3
÷ 5
We will draw her pan and shade one third.
Each sibling will receive 1 15
Divide that section into five pieces.

12. 1 3 ÷ 5 1 3 x 1 5 = 1 15 We just used a model to solve 1 3 ÷5 = 1 15 .
Now let’s solve using the algorithm.
1 3 ÷ 5
1 3 x 1 5
First, we will use the reciprocal of 5 …
Then multiply. =

13. Divide each section into three pieces.
Luke has left of a birthday cake. He wants to divide it into 3 servings. How much would be each serving? 1 4
÷ 3
We will draw the pan and shade one fourth.
Divide each section into three pieces. 1 12
Each serving would be

14. 1 4 x 1 3 = 1 12 1 4 ÷ 3 We just used a model to solve 1 4 ÷3 = 1 12 .
Now let’s solve using the algorithm.
1 4 ÷ 3
1 4 x 1 3
First, we will use the reciprocal of 3 …
Then multiply. =

15. Divide each section into two pieces.
Gabby has left of a cookie cake. She wants to divide it into 2 servings. How much would be each serving? 1 3
÷ 2
We will draw the pan and shade one third.
Divide each section into two pieces. 1 6
Each serving would be

16. 1 3 ÷ 2 1 3 x 1 2 = 1 6 We just used a model to solve 1 3 ÷2 = 1 6 .
Now let’s solve using the algorithm.
1 3 ÷ 2
1 3 x 1 2
First, we will use the reciprocal of 2 …
Then multiply.
= 1 6

17. Let’s try a few problems using the algorithm.
1 8 ÷ 3 = ÷ 9 =
2 3 ÷ 7 = ÷ 4 =
1 24
1 54
1 7
2 21