1. Adding & Subtracting Negative Fractions Model

2. If I have one-third of a square and one-half of a square, how much do I have in all?
Giant One
(horizontal) 2 6 1 3
• 2
(vertical) 3 6
• 3 1 2 + 5 6

3. If I have one-third of a square and I take away negative one-fourth of a square, how much do I have left?
Giant One
Draw one-third (horizontal) 4 12 1 3
• 4
Draw negative one-fourth (vertical) -3 12 _
• 3 -1 4 7 12

4. 8 2 12 3 -3 12 -1 4 Add two-thirds and negative one-forth. • 4 • 3
Draw two-thirds (horizontal)
Giant One 8 12 2 3
• 4
Draw negative one-fourth (vertical) -3 12
• 3 -1 4 +

5. 8 2 12 3 -3 12 -1 4 Add two-thirds and negative one-forth. • 4 • 3
Draw two-thirds (horizontal)
Giant One 8 12 2 3
• 4
Draw negative one-fourth (vertical) -3 12
• 3 -1 4 +
Take Away

6. 8 2 12 3 -3 12 -1 4 5 12 Add two-thirds and negative one-forth. • 4
Draw two-thirds (horizontal)
Giant One 8 12 2 3
• 4
Draw negative one-fourth (vertical) -3 12
• 3 -1 4 +
FRACTION WARM UP
Try the rest of your warm up! 5 12

8. Take Out Your
STUDY GUIDE!
That’s all folks

9. Multiply Negative Fractions
#25
You do NOT need common denominators 
Multiply the numerators and denominators straight across.
-20 -5 4
Change the improper fraction to a mixed number! = 2 3 6 2 -3
Reduce! 6 6) 1
-20 -3 2 = 2 -3 ÷ 18 3 6 2 ÷ 2

10. Divide Negative Fractions
#26
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
Example: 1 -5 -5 -5 3 1 -2 1 . X = = = - - - - - - - 6 3 6 1 2 2 . 2 .

11. Reciprocals
#27
To write a reciprocal of a mixed number, you must change your mixed number to an improper fraction first.
-42 -5 + 2 = 8 x 8
FLIP IT OVER!
Then write the reciprocal of your improper fraction. -8
-42 8 42