1. FRACTION REVIEW

2. FRACTION - a number that shows parts or pieces of a whole3
numerator 4
denominator
IMPROPER FRACTION - when the number on top is bigger than the number on the bottom. 7 4
MIXED NUMBER - a number that shows wholes and fractions 1 3 4

3. Adding Fractions 3 2 +
Hmmm… 4 5
Step 1: Find a common denominator

4. + 3 2 4 5 Adding Fractions Step 1: Find a common denominator
The LCM of
4 and 5 is 20. 4 5
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator

5. + 3 2 4 5 Adding Fractions 5 x x 4 Step 1: Find a common denominator
The LCM of
4 and 5 is 20. 4 5
5 x
x 4
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator

6. What you do to the bottom you have to do to the top.
Adding Fractions 3 2
5 x
x 4
What you do to the bottom you have to do to the top. + 4 5
5 x
x 4
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator

7. What you do to the bottom you have to do to the top.
Adding Fractions 15 8
What you do to the bottom you have to do to the top. + 20 20
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Add the numerators. Keep the same denominator.

8. + 15 8 20 20 Adding Fractions Step 1: Find a common denominator
= 23
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Add the numerators. Keep the same denominator.

9. Adding Fractions 15 8 23 + = 20 20 20
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Add the numerators. Keep the same denominator.

10. Change impropers to mixed #s
Adding Fractions 15 8 23 + =
Change impropers to mixed #s 20 20 20
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Add the numerators. Keep the same denominator.
Step 4: Simplify if necessary

11. Adding Fractions 15 8 23 1 3
20 can go
into 23 1 time. + = = 20 20 20 20
There is a remainder of 3.
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Add the numerators. Keep the same denominator.
Step 4: Simplify if necessary

12. Subtracting Fractions is almost like adding.

13. Subtracting Fractions1 1 - 2 6
Hmmm…
Step 1: Find a common denominator

14. Subtracting Fractions1 1 -
The LCM for
2 and 6 is 12 2 6
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator

15. Subtracting Fractions6 2 -
The LCM for
2 and 6 is 12 12 12
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Subtract the numerators. Keep the same denominator.

16. Subtracting Fractions6 2 4 - = 12 12 12
6 - 2 = 4
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Subtract the numerators. Keep the same denominator.

17. Subtracting Fractions6 2 4 / 4 1 3 - = =
4 and 12 share a common factor of 4 12 12 12
Step 1: Find a common denominator
Step 2: Find equivalent fractions with the common denominator
Step 3: Subtract the numerators. Keep the same denominator.
Step 4: Simplify if necessary

18. Multiplying Fractions is way easier than adding and subtracting.

19. Multiplying Fractions4 3
Ummm…
I don’t know. x = 7 6
YOU DO NOT NEED A COMMON DENOMINATOR

20. Multiplying Fractions4 3
Oh good! x = 7 6
YOU DO NOT NEED A COMMON DENOMINATOR

21. Multiplying Fractions4 3
Oh good! x = 7 6
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Multiply the numerators.

22. Multiplying Fractions4 3 12
4 x 3 = 12 x = 7 6
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Multiply the numerators.
Step 2: Multiply the denominators

23. Multiplying Fractions4 3 12
7 x 6 = 42 x = 7 6 42
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Multiply the numerators.
Step 2: Multiply the denominators
Step 3: Simplify if necessary

24. Multiplying Fractions4 3 12 6 / 2 7
The GCF for 12 and 42 is 6 x = = 7 6 42
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Multiply the numerators.
Step 2: Multiply the denominators
Step 3: Simplify if necessary

25. Dividing Fractions is easy if you remember one little thing.

26. Do I need a common denominator?
Dividing Fractions
Do I need a common denominator? 1 2 / 2 3
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Find the reciprocal of the second fraction

27. / 1 2 2 3 Dividing Fractions YOU DO NOT NEED A COMMON DENOMINATOR
FLIP THE SECOND ONE! / 2 3
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Find the reciprocal of the second fraction

28. / 1 3 2 2 Dividing Fractions YOU DO NOT NEED A COMMON DENOMINATOR
FLIP THE SECOND ONE! / 2 2
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Find the reciprocal of the second fraction
Step 2: Change division to multiplication

29. / 1 3 / to X 2 2 Dividing Fractions
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Find the reciprocal of the second fraction
Step 2: Change division to multiplication

30. x 1 3 / to X 2 2 Dividing Fractions
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Find the reciprocal of the second fraction
Step 2: Change division to multiplication
Step 3: Multiply and simplify if necessary

31. Dividing Fractions
1 x 3
and
2 x 2 1 3 3 x = 2 2 4
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Find the reciprocal of the second fraction
Step 2: Change division to multiplication
Step 3: Multiply and simplify if necessary

32. Dividing Fractions 1 3 3 x
EASY!!! = 2 2 4
YOU DO NOT NEED A COMMON DENOMINATOR
Step 1: Find the reciprocal of the second fraction
Step 2: Change division to multiplication
Step 3: Multiply and simplify if necessary

33. Special Situations
Adding and subtracting mixed numbers: just add or subtract fractions, then wholes.
Subtracting mixed numbers when the first fraction part is smaller than the second: change to improper fractions.
Multiplying and dividing mixed numbers and wholes: change to improper fractions

34. Get into partner groups

35. Adding Fractions

36. Subtracting Fractions

37. Multiplying Fractions

38. Dividing Fractions

39. Multiplying or Dividing mixed numbers