Adding subtracting unlike fraction

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

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

Adding/Subtracting Fractions The ‘Butterfly’ Method

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

+ 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

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

- 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

Try these 1. 2.