Math 3 - Fractions

1. Math Fundamentals
Fractions
1. Adding Fractions
2. Subtracting Fractions
3. Multiplying Fractions
4. Dividing Fractions
Laura Petersen, MAED
Co-founder & Master Teacher,
Lead Curriculum Designer
I L P M R
IDENTIFY LEARN PRACTICE SHOW
MASTERY
REVIEW
OK
GOOD
GREAT
EXCELLENT
Let’s be
excellent!

2. 5 STEP PROVEN LEARNING PROCESS
I L P M R
IDENTIFY LEARN PRACTICE SHOW
MASTERY
REVIEW
OK
GOOD
GREAT
EXCELLENT
Let’s be
excellent!

3. What’s in this lesson?
Fractions
1. Adding Fractions
2. Subtracting Fractions
3. Multiplying Fractions
4. Dividing Fractions
I

4. 1. Adding Fractions
1. 1 + 2
4 3
L
Example Problem
Add these fractions:

5. 1. Adding Fractions
1. 1 + 2
4 3
L
Example Problem Solution
1. Visualize problem

6. 1. Adding Fractions
1. 1 + 2
4 3
L
Example Problem Solution
(3) 1 + 2 (4)
(3) 4 3 (4)
3 + 8
12 12
1. Visualize problem 2. Get common denominator

7. 1. Adding Fractions
1. 1 + 2
4 3
L
Example Problem Solution
(3) 1 + 2 (4)
(3) 4 3 (4)
3 + 8
12 12
3 + 8
12
11
12
1. Visualize problem 2. Get common denominator 3. Add numerators. Solve!

8. 1. Adding Fractions
Add the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 + 2/5
2. 3/4 + 2/3
P
Practice Problems

9. 1. Adding Fractions
Add the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 + 2/5 = 11/15
2. 3/4 + 2/3 = 17/12 or 1 5/12
P
Practice Problem Answers

10. 1. Adding Fractions
Can you explain how to solve these to someone else? Try it!
3. 1/2 + 3/5
4. 1/5 + 5/8
M
Now it’s time to show what you’ve learned!

11. 1. Adding Fractions
Answers to the practice problems.
M
Did you get them right?
3. 1/2 + 3/5 = 11/10 or 1 1/10
4. 1/5 + 5/8 = 33/40

12. 1. Adding Fractions
ADDITIONAL RESOURCES FOR MORE PRACTICE
VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW
Watch Now! Practice More! Ask for Help!
R

13. What’s in this lesson?
Fractions
 1. Adding Fractions
2. Subtracting Fractions
3. Multiplying Fractions
4. Dividing Fractions
I

14. 2. Subtracting FractionsL
Example Problem
1. 2 - 1
3 2
Subtract these fractions:

15. 2. Subtracting FractionsL
Example Problem Solution
1. Visualize problem
1. 2 - 1
3 2

16. 2. Subtracting FractionsL
Example Problem Solution
(2) 2 - 1 (3)
(2) 3 2 (3)
4 - 3
6 6
1. Visualize problem 2. Get common denominator
1. 2 - 1
3 2

17. 2. Subtracting FractionsL
Example Problem Solution
(2) 2 - 1 (3)
(2) 3 2 (3)
4 - 3
6 6
4 - 3
6
1
6
1. Visualize problem 2. Get common denominator 3. Subtract numerators. Solve!
1. 2 - 1
3 2

18. 2. Subtracting FractionsP
Practice Problems
Subtract the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 - 2/5
2. 3/4 - 1/3

19. 2. Subtracting FractionsP
Practice Problems Answers
Subtract the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 - 2/5 = - 1/15
2. 3/4 - 1/3 = 5/12

20. 2. Subtracting FractionsM
Now it’s time to show what you’ve learned!
Can you teach someone else how to solve these? Try it now!
3. 1/2 - 1/5
4. 5/7 - 3/4

21. 2. Subtracting FractionsM
Did you show how to correctly?
Answers:
3. 1/2 - 1/5 = 3/10
4. 5/7 - 3/4 = -1/28

22. 2. Subtracting Fractions
RESOURCES FOR MORE PRACTICE
VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW
Watch Now! Practice More! Ask for Help!
R

23. What’s in this lesson?
Fractions
 1. Adding Fractions
 2. Subtracting Fractions
3. Multiplying Fractions
4. Dividing Fractions
I

24. 3. Multiplying FractionsL
Example Problem
1. 2 x 1
3 2
Multiply:

25. 3. Multiplying FractionsL
Example Problem Solution
1. Visualize problem
1. 2 x 1
3 2
2/3 * 1/2 is the same
as saying
“2/3 cut in 2 pieces”

26. 3. Multiplying FractionsL
Example Problem Solution
2 x 1
3 x 2
1. Visualize problem 2. Multiply the numerators.
Multiply the denominators.
1. 2 x 1
3 2
2/3 * 1/2 is the same
as saying
“2/3 cut in 2 pieces”

27. 3. Multiplying FractionsL
Example Problem Solution
2 x 1
3 x 2
2
6
1
3
1. Visualize problem 2. Multiply the numerators.
Multiply the denominators.
3. You have your answer! But don’t forget
to reduce where possible.
1. 2 x 1
3 2
2/3 * 1/2 is the same
as saying
“2/3 cut in 2 pieces”

28. 3. Multiplying FractionsP
Practice Problems
Multiply the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 x 2/5
2. 3/4 x -7/3

29. 3. Multiplying FractionsP
Practice Problems Answers
Multiply the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 x 2/5 = 2/15
2. 3/4 x -7/3 = -21/12 = -7/4 or -1 3/4

30. 3. Multiplying FractionsM
Now let’s see what you’ve learned!
Can you teach someone else the steps for these problems? Go!
3. 1/5 x 1/2
4. -3/4 x -5/2

31. 3. Multiplying FractionsM
Did you show your mastery?
Answers:
3. 1/5 x 1/2 = 1/10
4. -3/4 x -5/2 = 15/8 or 1 7/8

32. 3. Multiplying Fractions
RESOURCES FOR MORE PRACTICE
VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW
Watch Now! Practice More! Ask for Help!
R

33. What’s in this lesson?
Fractions
 1. Adding Fractions
 2. Subtracting Fractions
 3. Multiplying Fractions
4. Dividing Fractions
I

34. 4. Dividing FractionsL
Example Problem
1. 2 1
3 2
Divide:

35. 4. Dividing FractionsL
Example Problem Solution
1. Visualize problem
If 2/3 * 1/2 is the same as saying
“2/3 cut in 2 pieces”
Then 2/3 / 1/2 is the same as saying “2/3
taken 2/1 times”
1. 2 1
3 2
x2

36. 4. Dividing FractionsL
Example Problem Solution
1. Visualize problem
If 2/3 * 1/2 is the same as saying
“2/3 cut in 2 pieces”
Then 2/3 / 1/2 is the same as saying “2/3
taken 2/1 times”
1. 2 1
3 2
2 x 2
3 1
2. First: Flip the second fraction.
Then: Multiply the numerators.
Multiply the denominators.
2 x 2
3 x 1
x2

37. 4. Dividing FractionsL
Example Problem Solution
1. Visualize problem
If 2/3 * 1/2 is the same as saying
“2/3 cut in 2 pieces”
Then 2/3 / 1/2 is the same as saying “2/3
taken 2/1 times”
1. 2 1
3 2
2 x 2
3 1
4
3
or 1 1/3
2. First: Flip the second fraction.
Then: Multiply the numerators.
Multiply the denominators.
3. You have your answer! But don’t forget
to reduce where possible.
2 x 2
3 x 1
x2

38. 4. Dividing FractionsP
Practice Problems
Divide the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 / 2/5
2. 3/4 / -7/3

39. 4. Dividing FractionsP
Practice Problems Answers
Divide the following pairs of fractions. Reduce where necessary to simplest form.
1. 1/3 / 2/5 = 1/3 x 5/2 = 5/6
2. 3/4 / -7/3 = 3/4 x -3/7 = -9/28

40. 4. Dividing FractionsM
Now it’s time to show your mastery!
Can you teach someone else how to do these problems? Solve!
3. (1/5) / (1/2)
4. (-3/4) / (-5/2)

41. 4. Dividing FractionsM
Did you teach correctly?
Answers:
3. (1/5) / (1/2) = 1/5 x 2/1 = 2/5
4. (-3/4) / (-5/2) = -3/4 x -2/5 = 6/20 = 3/10

42. 4. Dividing Fractions
RESOURCES FOR MORE PRACTICE
VIDEO TUTORIAL ADDITIONAL PRACTICE COMMENT BELOW
Watch Now! Practice More! Ask for Help!
R

43. Want more?
Boost your academic confidence and take the stress out of school!
Try us risk-free!
click me!

44. Skyrocket your grades and test scores for lifetime success!