Shortcut to multiply fractions. Students may choose to work multiplication problems with this method to shorten the time needed to work the problem.

1. Multiplying Fractions
Goals: I can figure out how to solve multiplication problems with fractions in realworld 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. Shortcut Method
Warning:
This method will not work
with every multiplication
problem. Be prepared to at
all times to multiply large
number & simplify large
numbers.

3. Shortcut Method
1
1
2
2
_5_ _6_
12 10

4. Shortcut Method
1
_5_ _6_
12 10
2
2
1
=
1
4

5. Shortcut Method
_3_ _2_
7
5

6. Shortcut Method
_3_ _2_ 6
35
7
5
=

7. Shortcut Method
1
1
2
1
_4_ _3_
6
4

8. Shortcut Method
1
_4_ _3_
6
4
2
1
1
=
1
2

9. Shortcut Method
13
6
_1_
4

10. Shortcut Method
13
6
_1_ 13
24
4
=

11. Shortcut Method
5
2
20
8
_4_
4
1
1

12. Shortcut Method
5
2
20
8
4_
4
1
1
=
5
2

13. What is wrong with this answer?
5
2
Improper Fraction
f
eo
yp
h t is it?
hic ion
W ct
fra
Proper Fraction

14. Improper Fraction → Mixed Number
1. Divide the numerator by the denominator
2. Put the remainder over the denominator
Divide the
numerator by
the denominator
2
2 5
4
1
R1
2
5
= 2
Write the
remainder
over the
denominator
2
1
2

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

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

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

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

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

20. Name: __________________
Date: ____________________
Group: _____
I can: demonstrate my knowledge of multiplying fractions!
Multiply these fractions (using Shortcut Method)!
2. 3 x 7 =
6
9
1. 5 x 4 =
8
10
Multiply (using Shortcut Method) these fractions and turn your answers into mixed
numbers! Don’t forget to simplify!
3. 2 x 18 =
3 10
4. 8 x 27 =
9
2
5.
12 x 4 =
3
Simplify these Fractions!
6. 12 =
24
7. 6 =
18
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