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

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

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

4. 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.

5. Can These Be Added As Is (Do they have a common denominator)? A. ¾ + ¼ B. ½ + 5/8 C. 3/16 + 5/16 D. 1 ½ + 3 ½ E. 10 3/16 + 3 5/8 F. 15/16 + 3 3/8 G. 2 7/8 + 2 3/8 A. YES B. NO C. YES D. YES E. NO F. NO G. YES

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

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

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

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

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

11. What fraction would you turn 1 into to complete the problem? 1 + 3/16 1 + 3/16 1 - 1/8 1 - 1/8 1 - 9/16 1 - 9/16 1 - ½ 1 - ½ 1 + ¾ 1 + ¾ 1 - 5/8 1 - 5/816/168/816/162/24/48/8

12. Solve the problem!!! NOW!!!! Solve the problem!!! NOW!!!! 1 + 3/16 1 + 3/16 1 - 1/8 1 - 1/8 1 - 9/16 1 - 9/16 1 - ½ 1 - ½ 1 + ¾ 1 + ¾ 1 - 5/8 1 - 5/8 16/168/816/162/24/48/8 + 3/16 = 19/16 = 1 3/16 – 1/8 = 7/8 - 9/16 = 7/16 – ½ = 1/2 + ¾ = 7/4 = 1 3/4 – 5/8 = 3/8

13. 7 ¼ + 4 3/8 = 714 438+ 728 438+ 58 11 Add fractions then whole numbers

14. 3 ¼ - 15/16 = 314 1516- 3 416 1516- What is the common denominator? 16

15. 3 ¼ - 15/16 = 3 416 1516- Can’t subtract 4/16 from 15/16 You need to borrow! 1616 + 2016 = 2 Subtract fractions then whole numbers 5. 5.16 2

16. 4 ½ + 2 7/8 = 412 278+ 48 11 8 Make common denominators, then add fractions. Then whole numbers. 6

17. 4 ½ + 2 7/8 = 448 278+ 11 8 If improper fraction change to a mixed number 38 = 1 + 6 11 8 Add the mixed number to the whole number. 6 38 1 = 7 38

18. 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).

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