Bellringer Make the two fractions equivalent fractions 1

Bellringer Make the two fractions equivalent fractions : 1) 2/3 & 7/8 16/24 & 21/24 2) 5/9 & 1/3 5/9 & 3/9

3 -2, 3 -3 Adding and Subtracting FRACTIONS!!!!.

+ & - Fractions – Big Rocks 1. 2. 3. 4. 5. Get common denominators Get equivalent fractions Combine numerators Keep same denominator Simplify if needed

How do you ADD FRACTIONS? First of all, you need a “common denominator”. This means the bottom numbers of each fraction must be the same.

Can These Be Added As Is (Do they have a common denominator)? A. B. C. D. E. F. G. ¾+¼ ½ + 5/8 3/16 + 5/16 1½+3½ 10 3/16 + 3 5/8 15/16 + 3 3/8 2 7/8 + 2 3/8 A. B. C. D. E. F. G. YES NO NO YES

Step 1 - Making a Common Denominator ½ + 1/4 Cannot be added together. . . Yet. The common denominator is 4 2|2 4 1 2 2 x 1 x 2=4

Step #2 - Converting the Fraction to Equivalent Fractions ½ + 1/4 ½ = ? /4 =2/4

Step 3 - Combine the Fraction 2+1 = 4 4 Combine only the numerators … 2 + 1 = 3

Step 4 – Keep numerator the same Keep the denominator the same …. 4 2/4 + 1/4 = 3/4 THE ANSWER!!!

Step 5 – Simplify if needed n So… 2/4 + 1/4 = 3/4 THE ANSWER!!! n Can you simplify ¾? ? ? ? ? n NO

What fraction would you turn 1 into to complete the problem? 1 + 3/16 n 1 - 1/8 n 1 - 9/16 n 1 -½ n 1+¾ n 1 - 5/8 n 16/16 8/8 16/16 2/2 4/4 8/8

Solve the problem!!! NOW!!!! 1 + 3/16 n 1 - 1/8 n 1 - 9/16 n 1 -½ n 1+¾ n 1 - 5/8 n 16/16 + 3/16 = 19/16 = 1 3/16 8/8 – 1/8 = 7/8 16/16 - 9/16 = 7/16 2/2 – ½ = 1/2 4/4 + ¾ = 7/4 = 1 3/4 8/8 – 5/8 = 3/8

7 ¼ + 4 3/8 = 7 1 4 +4 3 8 7 2 8 +4 3 8 11 5 8 Add fractions then whole numbers

3 ¼ - 15/16 = 3 - 1 4 15 16 3 - 4 16 15 16 What is the common denominator? 16

3 ¼ - 15/16 = 23 4 16 15 16 2 5 16. + 16 20 16 = 16 Can’t subtract 4/16 from 15/16 You need to borrow! Subtract fractions then whole numbers

4 ½ + 2 7/8 = 4 41 82 +2 7 8 6 11 8 Make common denominators, then add fractions. Then whole numbers.

4 ½ + 2 7/8 = 4 + 2 6 4 8 7 8 11 8 = If improper fraction change to a mixed number 3 18 Add the mixed number to the whole number. 6 3 +1 8 = 3 78

Homework pg 132 #10 -22 even (show work/steps and LCD even though you can use calculator for #14 -22) SIMPLIFY FRACTIONS Extra Credit #24 & #26 (show work) & #28 (explain error).

Homework Practice sheet 3 -3 #2 -18 evens show work and LCD #19 -22 e. c. show work