1. Picture This!
Fractions and Wholes

2. 3 quantities

3. 3 values
If this is worth 1
then 1 3 ? 4 ?

4. Why? If
is worth 1
Then
is worth 3
And
is worth 4

5. Let’s change it a little
If this
is 1
then 1 3 1 3 ? 1 ?

6. Why? If
is worth 1
Then
is worth 1 3
And
is worth 1 3

7. Let’s change it again
If this is 1
then 1 4 3 4 ? ? 1

8. Why? If
is worth 1
Then
is worth 1 4
And
is worth 3 4

9. The whole thing depends on what one whole looks like
Everything bigger than one will be a multiple.
Everything smaller than one will be a fraction.

10. If this is worth 1 2
But how about this?
then 1 6 1 2 2 3 4 6 ? ?

11. This is 1 3
of this 1
x 3 = 2 1 3 1 2 1 6 = of

12. How can we be sure? 1 6 1 2
x 3 = 1 6 3
x 3 = 1 2 =

13. Here’s another way to look at it1 2 = If
then 1 = 1 6 So
must =

14. What’s the long piece worth?1 6 4 6
x 4 = 1 6 4
x 4 = 2 3 =

15. Figure out these values1 3 2 3 1 1 2 1 1 2 1 1 2 1
—or make up your own!