1. Multiplying Fractions
Goals: I can figure out how to solve multiplication problems with fractions in real-world situations.
Standard: MCC5.NF.6: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Credits: Special thanks to Kelly Katz, for some of the slides in this presentation.

2. Butterfly Method 1 1
_5_ 12
_6_ 10 2 2

3. Butterfly Method 1 1
_5_ 12
_6_ 10 1 4 = 2 2

4. Butterfly Method 1 1
_4_ 6
_3_ 4 2 1

5. Butterfly Method 1 1
_4_ 6
_3_ 4 1 2 = 2 1

6. Butterfly Method 5 1
20 8
_4_ 4 2 1

7. Butterfly Method 5 1
20 8 4_ 4 5 2 = 2 1

8. What is wrong with this answer?
5 2
Which type of fraction is it?
Improper Fraction
Proper Fraction

9. Improper Fraction → Mixed Number
Divide the numerator by the denominator
Put the remainder over the denominator
Write the
remainder
over the
denominator 2
Divide the
numerator by
the denominator
R 1 2 5 2 4 1 5 1 2 = 2 2

10. Convert the improper fraction to a mixed number:7 1 2 3 3

11. Convert the improper fraction to a mixed number:8 2 2 3 3

12. Convert the improper fraction to a mixed number:9 1 4 2 2

13. Convert the improper fraction to a mixed number:11 1 2 5 5

14. Convert the improper fraction to a mixed number:
If there is no remainder then your answer is a whole number! 10 2 5

15. I can: demonstrate my knowledge of multiplying fractions!
Name: __________________ Date: ____________________ Group: _____
I can: demonstrate my knowledge of multiplying fractions!
Multiply these fractions (using butterfly method)!
5 x 4 = * 7 =
Multiply (using butterfly method) these fractions and turn your answers into mixed numbers! Don’t forget to simplify!
x = x 27 = x 4 =
Simplify these Fractions!
= =
8. Cody has 27 marbles. Five-Ninths of the marbles are purple. How many marbles are purple?_______ are purple
9. How many are not purple? _______ are not purple