Multiply fractions shortcut
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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.
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Shortcut to multiply fractions. Students may choose to work multiplication problems with this method to shorten the time needed to work the problem.
Transcript of Multiply fractions shortcut
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.
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.
Shortcut Method
_5_12
_6_10
1 1
22
Shortcut Method
_5_12
_6_10
1 1
22
= 14
Shortcut Method
_3_7
_2_5
Shortcut Method
_3_7
_2_5
=6
35
Shortcut Method
_4_6
_3_4
1 1
12
Shortcut Method
_4_6
_3_4
1 1
12
= 12
Shortcut Method
136
_1_4
Shortcut Method
136
_1_4
=1324
Shortcut Method
208
_4_4
5 1
12
Shortcut Method
20 8
4_4
5 1
12
= 52
What is wrong with this answer?
52
Improper Fraction Proper Fraction
Which type of
fraction is it?
Improper Fraction → Mixed Number
1. Divide the numerator by the denominator
2. Put the remainder over the denominator
=52
522
41
R 1Divide the
numerator by the denominator
Write the remainder
over thedenominator
2
2 12
Convert the improper fraction to a Convert the improper fraction to a mixed number:mixed number:
73
132
Convert the improper fraction to a Convert the improper fraction to a mixed number:mixed number:
83
232
Convert the improper fraction to a Convert the improper fraction to a mixed number:mixed number:
92
124
Convert the improper fraction to a Convert the improper fraction to a mixed number:mixed number:
115
152
Convert the improper fraction to a Convert the improper fraction to a mixed number:mixed number:
105 2
If there is no remainder then your answer is
a whole number!
Name: __________________ Date: ____________________ Group: _____
I can: demonstrate my knowledge of multiplying fractions!
Multiply these fractions (using Shortcut Method)!
1. 5 x 4 = 2. 3 x 7 = 8 10 6 9
Multiply (using Shortcut Method) these fractions and turn your answers into mixed numbers! Don’t forget to simplify!
3. 2 x 18 = 4. 8 x 27 = 5. 12 x 4 = 3 10 9 2 3
Simplify these Fractions!
6. 12 = 7. 6 = 24 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
