1. ADDING AND SUBTRACTING FRACTIONS
Parts of a Fraction
Changing Improper Fractions into Mixed Numbers and Vice-Versa
How to Add Fractions
How to Add Mixed Numbers
How to Subtract Fractions
How to Subtract Mixed Numbers
How to Borrow When Subtracting Fractions

2. 3 4 PARTS OF A FRACTION The top number of a fraction is the numerator.
The bottom number of a fraction is the denominator. 3 4

3. AND IMPROPER FRACTIONS
QUIZ
MIXED NUMBERS
AND IMPROPER FRACTIONS
To change a mixed number into an improper fraction get MAD…Multiply – Add – Put over Denominator
4 ½
4 x 2 = 8
= 9 9 2
To change an improper fraction into a mixed number divide the numerator by the denominator; whatever is left over is the new numerator…keep the same denominator.
For Example: 11 4
11 divided 4 equals 2; there is 3 left over. 34 2

4. Quiz: Changing Mixed Numbers and Improper Fractions
Change the following into Improper Fractions. REVIEW
3 ½
5 5/8 /3
15 ¾
Change the following into Mixed Numbers REVIEW
40/13
100/9
4/3
4. 9/2
CHECK

5. ANSWERS: Changing Mixed Numbers and Improper Fractions
Change the following into Improper Fractions.
½ = /2
5 5/ = /8
/ = /3
15 ¾ = /4
Change the following into Mixed Numbers.
40/ = /13
100/ = /9
4/ = /3
4. 9/ = ½

6. Once you have a common denominator, then add!
ADDING FRACTIONS
When adding fractions you MUST have a common denominator!
Find the smallest number that both 4and 5 will go into. This number is 20. Then multiply both the numerator and denominator to get to 20. 3 4
1 5_ + x
5 = 15 20 = 19 20
Once you have a common denominator, then add!

7. You MUST have a common denominator to add fractions!
QUIZ
ADDING MIXED NUMBERS 3
5 1/3 X 6 5
3/6
2/6 2 + /6
You MUST have a common denominator to add fractions!
Find the least common multiple of 3 and 2. This number is 6.
Once you have the common denominator, add the fractions, then add the whole numbers!
6th Grade HomePage

8. SUBTRACTING FRACTIONS
QUIZ
SUBTRACTING FRACTIONS 5 6 2 3 X 1 2 5 6 4
Find the least common multiple for 3 and 6. (In this case, 6) Then multiply! 1 6
This is your answer!
To subtract fractions you must have a common denominator!

9. Answers: Adding Fractions
3 1/ ½
¼ ¾
5 1/ /3
/ /4
+ 1/2
CHECK
Review

10. QUIZ: Adding Fractions
3 1/ ½
¼ ¾
7 9/ /4 = 4 1/4
5 1/ /3
/ /4
7 5/ /2
13/12 = /12
Review

11. To subtract fractions you must have a common denominator!
QUIZ
SUBTRACTING MIXED NUMBERS 2 1
2/4 X
To subtract fractions you must have a common denominator!
Find the least common multiple of 4 and 2. This number is 4.
ANSWER!

12. SUBTRACTING FRACTIONS WHILE BORROWING
+ 4/4
2/4
2 3/4 2 1
4 2/4
2 3/4
6/4
2 3/4 X
First…Find a common denominator.
2 3/4
You cannot subtract 3 from 2, so you MUST borrow!
ANSWER!
Find the least common multiple of 4 and 2. This number is 4.

13. Quiz: SUBTRACTING FRACTIONS
½ ¾
- ¼ ½
4 1/
/ ¾
CHECK
Review Subtracting
Review Subtracting While Borrowing

14. ANSWERS: SUBTRACTING FRACTIONS
½ ¾
- ¼ ½
¼ ¼
4 1/
/ ¾
2 7/ ¼
Review Subtracting
Review Subtracting While Borrowing