Intermediate Math: Multiplying and Dividing Fractions
Click on the document below to print out the tracking sheet you will use to guide you through the Multiplying and Dividing Fractions unit.
Introduction


Concept/Skill  Sample  Learn Zillion  Khan Academy  Breakthrough to Math, Level 2, Book 3  Foundations Mathematics  Number Power 2  Breakthrough to Math, Workbook  WorkWise: Math at Work 
What does it mean to mulitply and divide fractions? Fractions are only parts of a whole. That means that multiplying fractions is repeating a part a partial number of times. Dividing fractions means you are trying to figure out how many times one part will fit into another one. 
1/2 x 3/4 = 3/8 means that you are finding half of 3/4 
Multiply by fractions: using repeated addition  6  
Multiply fractions by fractions: finding a part of a part  Multiplying 2 fractions: fraction model  
Multiply fractions by fractions: using a sequence of operations  Understanding division of fractions  
Use models for division of fractions by fractions 
Problem Solving


Concept/Skill  Sample  Learn Zillion  Khan Academy  Breakthrough to Math, Level 2, Book 3  Foundations Mathematics  Number Power 2  Breakthrough to Math, Workbook  WorkWise: Math at Work 
Multiplication word problems with fractions  If you can make 1/3 of a set of kitchen cabinets in a day, what fraction of the cabinets will you finish if you only work 1/2 of the day? Answer: 1/6  Multiply fractions by fractions using an algorithm  Multiplying fractions word problems: muffins  67  4546 (14, 9, 11, 16)  4143: Exercises 13  
Multiplying fractions word problems: laundry  
Multiplying fractions word problems: bike  
Multistep word problems with fractions  You're making dinner for 2 people, but the recipe you're using is for 4 people. If the recipe calls for 3/4 cup of flour, how much flour should you use?  1618  4546 (58, 10, 1115)  4346: Exercises 56  
Division word problems with fractions  If you have 3 pounds of chocolate that you want to divide up into bags that each weigh 1/3 of a pound, how many pags will you be able to make?  Divide Mixed numbers by fractions: using models  Dividing whole numbers & fractions: tshirts  
Dividing whole numbers by fractions: word problem  
Dividing fractions by whole numbers: studying  
Calculations


Concept/Skill  Sample  Learn Zillion  Khan Academy 
Breakthrough to Math, Level 2, Book 3 
Foundations Mathematics  Number Power 2  Breakthrough to Math, Workbook  WorkWise: Math at Work  
Rewriting Whole Numbers as fractions  4 = 4/1  Express whole numbers as fractions  Whole numbers as fractions  151  42  
Multiplying Fractions 

Multiplying fractions by fractions using area models  Multiplying 2 fractions: 5/6 x 2/3  89  149  39  20  
Multiplying 2 fractions: number line  
Cancelling Before you Multiply Fractions  6/7 x 14/17 becomes 6/1 x 2/17 when you cancel out 7 from the numerator and the denominator, so the answer is 12/17  Simplify fraction multiplication problems using common factors  Multiplying 2 fractions: 5/6 x 2/3 (This is the same video as above. The second half of the video explains cancelling.)  1315  150  4041  21  
Multiplying Mixed Numbers 

Multiplying Mixed Numbers  1921 
152 
43  22  
Dividing by Fractions 

Divide a fraction by a fraction  Dividing fractions: 2/5 ÷ 7/3  2225  153  4748  23  
Dividing fractions: 3/5 ÷ 1/2  
Dividing by Mixed Numbers 


Dividing Mixed Numbers  2628  154  5354  24  
Dividing Mixed Numbers (2)  
Concept/Skill  Sample  Learn Zillion  Khan Academy 
Breakthrough to Math, Level 2, Book 3 
Foundations Mathematics  Number Power 2  Breakthrough to Math, Workbook  WorkWise: Math at Work  

Problem Solving PostTest
Click here to take the Multiplying Fractions Problem Solving Post Test
Click here to take the Dividing Fractions Problem Solving Post Test
Calculations PostTest
1. In the Breakthrough to Math, Level 2, Book 3, complete the PostTest on page 29. You may NOT use a calculator for this test. 

2. Answers can be found on page 30. 

3. A passing score is 6 out of 7. 