1. Equivalent Fractions
Raising and Reducing

2. Pizza

3. Pizza
3/4
6/8
9/12

4. Multiply by 1
5 x 1 =
235 x 1 =
2/3 x 1 =
a x 1 = 5
235
2/3 a

5. What is 1?

6. Raising Fractions
A man walks into the pizza store and orders a medium pizza.
The clerk asks “ Would you like that cut in 8 pieces or 6?”
The man replied “ Make it 6. I don’t think I can eat 8.”

7. Raising Fractions To raise fractions make the denominator larger.
Multiply numerator and denominator (top and bottom) of the fraction by the same number.
This is the same thing as multiplying by 1.

8. Raising Fractions
Multiply numerator and denominator (top and bottom) of the fraction by the same number.
This is the same thing as multiplying by 1.

9. Rasing Fractions Raise 3/8 to 56ths.
Multiply numerator and denominator (top and bottom) of the fraction by the same number.

10. Rasing Fractions Raise 3/8 to 56ths.
Multiply numerator and denominator (top and bottom) of the fraction by the same number.

11. Reducing Fractions Opposite of raising. Make the denominator smaller.
Divide numerator and denominator by the same number.

12. Reducing Fractions Might take more than one step. More than one way.
Divide numerator and denominator by the same number.

13. Reducing Fractions
Divide numerator and denominator by the same number.

14. Reducing Fractions
Divide numerator and denominator by the same number.

15. Proper and Improper
An improper fraction has a numerator larger than the denominator.
A proper fration has a numerator smaller than the denominator.

16. Mixed vs. Improper A mixed number has a whole and fraction part.
A mixednumber can be written as an improper and visa versa.

17. Work this on paper.
We have 5 full crates of apples and one crate with only7 apples. The full crates contain 30 apples.
How many apples altogether?

18. Work this on paper.
We have 5 full crates of apples and one crate with only7 apples. The full crates contain 30 apples.
How many apples altogether?
157 apples.
How did you get the answer?

19. Mixed to Improper. You multiplied the 5 times 30 and added the 7
To change a mixed number to improper, multiply the denominator by the whole part and add the numerator. Keep the denominator the same.

20. Mixed to improper
Try some.

21. Mixed to improper
Try some.

22. Try this on paper. We have 135 pencils and boxes that hold 12 each.
How many full boxes? How many loose pencils?
How did you get your answer?

23. Try this on paper. We have 135 pencils and boxes that hold 12 each.
How many full boxes? 11 How many loose pencils? 3
How did you get your answer?
Divided 135 by 12. The remainder was the left over.
135/12 = 11 3/12

24. Improper to Mixed
Divide.

25. Try these.

26. Answers