2. Remember Lesson 6 when we added Integers – follow the same rules to add rational numbers. Positive + Positive = Positive Positive (Bigger number) + Negative = Positive Positive + Negative (Bigger Number) = Negative Negative + Negative = Negative

3. 1313 + 4747

4. 1313 + 4747 7 21 + 12 21 Remember common denominator to add fractions

5. 1313 + 4747 7 21 + 12 21 Remember common denominator to add fractions 19 21 Positive + Positive = Positive

6. -2 5 + 3434

7. -2 5 + 3434 -8 20 15 20 + Negative + Positive ( BIGGER NUMBER)

8. -2 5 + 3434 -8 20 15 20 + COMMON DENOMINATOR TO ADD FRACTIONS

9. -2 5 + 3434 -8 20 15 20 + 7 20 15 – 8 = 7 ( KEEP THE SIGN OF THE LARGER NUMBER)

10. -4 6 + 1313

11. -4 6 + 1313 -4 6 2 6 + Negative ( BIGGER NUMBER) + Positive

12. -4 6 + 1313 -4 6 2 6 + COMMON DENOMINATOR TO ADD FRACTIONS

13. -4 6 + 1313 -4 6 2 6 + -2 6 4 – 2 = 2 ( KEEP THE SIGN OF THE LARGER NUMBER)

14. -4 6 + 1313 -4 6 2 6 + -2 6 = 3 LOWEST TERMS

15. -5 9 + 2

16. -5 9 + 2 -10 18 -9 18 + NEGATIVE + NEGATIVE = NEGATIVE

17. -5 9 + 2 -10 18 -9 18 + COMMON DENOMINATOR TO ADD FRACTIONS

18. -5 9 + 2 -10 18 -9 18 + -19 18 10 + 9 = 19 ( KEEP THE SIGN OF THE LARGER NUMBER)

19. -5 9 + 2 -10 18 -9 18 + -19 18 = 1 18 CHANGE IMPROPER TO MIXED

20. ORDERWe need to remember that ORDER matters when you subtract numbers.

21. BIGGERFIRST POSITIVEIf the BIGGER number is FIRST then the result = POSITIVE 3434 - 1313

22. 3434 - 1313 9 12 4 12 - COMMON DENOMINATOR TO SUBTRACT FRACTIONS

23. BIGGERFIRST POSITIVEIf the BIGGER number is FIRST then the result = POSITIVE 3434 - 1313 9 12 4 12 - = 5 12

24. BIGGERSECOND NEGATIVEIf the BIGGER number is SECOND then the result = NEGATIVE 1313 - 3434

25. 1313 - 3434 9 12 4 12 - COMMON DENOMINATOR TO SUBTRACT FRACTIONS

26. BIGGERSECOND NEGATIVEIf the BIGGER number is SECOND then the result = NEGATIVE 1313 - 3434 9 12 4 12 - = -5 12 9 – 4 = 5 9 – 4 = 5 ( KEEP SIGN OF THE LARGER NUMBER)

27. – Negative – Positive + = Negative + Negative. add the opposite Which means you add the opposite -3 4 1515 -3 4 5 = - +

28. -3 4 1515 - -3 4 5 + ADD THE OPPOSITE

29. -3 4 1515 - -3 4 5 + -15 20 + -4 20 COMMON DENOMINATOR TO SUBTRACT FRACTIONS

30. -3 4 1515 - -3 4 5 + -15 20 + -4 20 = -19 20 15 + 4 = 19 (KEEP THE SIGN OF THE LARGER NUMBER)

31. POSITIVE – NEGATIVE = POSITIVE + POSITIVE = POSITIVE add the opposite Which means you add the opposite

32. 3434 5 - POSITIVE – NEGATIVE = POSITIVE

33. 3434 5 - 3434 1515 + ADD THE OPPOSITE

34. 3434 5 - 3434 1515 + 15 20 4 20 + COMMON DENOMINATOR TO SUBTRACT FRACTIONS

35. 3434 5 - 3434 1515 + 15 20 4 20 + = 19 20 15 + 4 = 19 (KEEP THE SIGN OF THE LARGER NUMBER) POSITIVE – NEGATIVE = POSITIVE

36. -3 4 5 - BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

37. -3 4 5 - -3 4 1515 + ADD THE OPPOSITE BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

38. -3 4 5 - -3 4 1515 + -15 20 4 20 + COMMON DENOMINATOR TO SUBTRACT FRACTIONS BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

39. -3 4 5 - -3 4 1515 + -15 20 4 20 + = -11 20 15 - 4 = 11 (KEEP THE SIGN OF THE LARGER NUMBER) BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE