1. Adding subtracting unlike fraction

2. Adding/Subtracting fraction
Fractions with the same denominator
II. The Butterfly Shortcut for adding unlike fractions

3. 3+1 = 5 7 - 3 = 4 = 1 Adding with Common Denominators Ex 1:
1) ADD THE TOPS
2) KEEP THE BOTTOM
3) ALWAYS REDUCE IF POSSIBLE
Subtracting with Common Denominators
7 - 3
 4
Ex 2: =
= 1 4
1) SUBTRACT THE TOPS
2) KEEP THE BOTTOM
3) ALWAYS REDUCE IF POSSIBLE

4. Adding/Subtracting Fractions
The
‘Butterfly’ Method

5. Fractions: The Butterfly Methodx =
Bottoms:
Fractions: The Butterfly Method
Example1 +
Step 1:
bottom x bottom = new bottom

6. + 22 10 12 + = 22 = Step 2: Find the Top Number second: first:
I. Cross-Multiply:
(start with top left)
Write this number on the left
II. Cross-Multiply:
(start with top right)
Write this number on the right
second:
4 x 3 = 12
first:
2 x 5 = 10 + = 22
This is the new top number
III. Add
bring down the sign in the middle 10 12 +
= 22
You must check to see if the fraction is reduced

7. Fractions: The Butterfly Methodx =
Bottoms:
Fractions: The Butterfly Method
Example 2 -
Step 1:
bottom x bottom = new bottom

8. - 23 35 12 - = 23 = Step 2: Find the Top Number second: first:
I. Cross-Multiply:
(start with top left)
Write this number on the left
II. Cross-Multiply:
(start with top right)
Write this number on the right
second:
2 x 6 = 12
first:
7 x 5 = 35 - = 23
This is the new top number
III. Subtract
bring down the sign in the middle 35 12 -
= 23
You must check to see if the fraction is reduced

9. Try these 1. 2.