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ractions ubtracting dding &
Adding & Subtracting Fractions   Teacher Notes: ,[object Object],[object Object],[object Object]
+ We need a common  denominator to add  these fractions.
7, 14, 21, 28, 35…  2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Count by 2's Count by 7's + We need a common  denominator to add  these fractions.
7, 14, 21, 28, 35…  2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Count by 2's Count by 7's The first number  IN COMMON that appears on both lists becomes the common denominator
+ = x 2 x 2 = X 7 x 7 7 6 7 + 6 =  13 Add the numerators 13 Make equivalent fractions.
5, 10, 15, 20, 25, 30, 35, 40, 45 7, 14, 21, 28, 35, 42, 49, 56, 63 Count by 7's Count by 5's + We need a common  denominator to add  these fractions.
= x 7 x 7 = X 5 x 5 15 7 + 15 + 7 =  22 Add the numerators 22 Make equivalent fractions.
7, 14, 21, 28, 35, 42, 49, 56, 63 8, 16, 24, 32, 40, 48, 56, 64, 72 Count by 7's Count by 8's We need a common  denominator to add  these fractions. +
= x 7 x 7 = x 8 x 8 32 21 + 32 + 21 =  53 Add the numerators 53 Make equivalent fractions.
3, 6, 9, 12, 15, 18, 21, 24, 27 5, 10, 15, 20, 25, 30, 35, 40, 45 Count by 3's Count by 5's + We need a common  denominator to add  these fractions.
X 3 = x 5 x 5 = x 3 9 10 + 9 + 10 =  19 Add the numerators 19
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 11, 22, 33, 44, 55, 66, 77… Count by 3's Count by 11's + We need a common  denominator to add  these fractions.
= x 11 x 11 = X 3 x 3 15 22 + 15 + 22 =  37 Add the numerators 37 Make equivalent fractions.
3, 6, 9, 12, 15, 18, 21, 24, 27 Count by 3's Count by 6's 6, 12, 18, 24,… + We need a common  denominator to add  these fractions.
= x 1 x 1 = X 2 x 2 4 1 + 4 + 1 =  5 Add the numerators 5 Make equivalent fractions.
11, 22, 33, 44, 55, 66, 77… Count by 11's 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 + We need a common  denominator to add  these fractions.
= x 11 x 11 = X 6 x 6 18 11 + 29 18 + 11 =  29 Add the numerators. Make equivalent fractions.
+ We need a common  denominator to add  these fractions.
9, 18, 27, 36, 45, 54, 63, 72, 81 5, 10, 15, 20, 25, 30, 35, 40, 45 Count by 5's Count by 9's + We need a common  denominator to add  these fractions.
9, 18, 27, 36, 45, 54, 63, 72, 81 5, 10, 15, 20, 25, 30, 35, 40, 45 Count by 5's Count by 9's The first number  IN COMMON that appears on both lists becomes the common denominator
+ = x 5 x 5 = x9 x 9 36 35 36 + 35 =  71 Add the numerators. 71 Make equivalent fractions. 36 + 35 =  71 Add the numerators. Make equivalent fractions.
12, 24, 36, 48, 60, 72, 84, 96 8, 16, 24, 32, 40, 48, 56, 64, 72, 79, 80, 88, 96 Count by 12's Count by 8's + We need a common  denominator to add  these fractions.
+ = x 3 x 3 = x 2 x 2 19 10 + 9 =  19 Add the numerators. Make equivalent fractions. 9 10
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 11, 22, 33, 44, 55, 66, 77… Count by 11's Count by 5's - We need a common  denominator to  subtract a fraction from another.
= x 5 x 5 = x 11 x 11 4 15 - 11 =  4 Subtract. Make equivalent fractions. - 15 11
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 … 10, 20, 30… Count by 2's Count by 10's - We need a common  denominator to  subtract one fraction from another.
= x 1 x 1 = x 5 x 5 2 5 – 3  =  2 Subtract. Make equivalent fractions. - 5 3
Try These A F E B C D
Answers On Next Slide ,[object Object],[object Object],[object Object]
Try These A F E B C D 17 27 19 20 10 9 41 28 26 21 13 12

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Adding & Subtraction Fractions with unlike denom

  • 2.
  • 3. + We need a common denominator to add these fractions.
  • 4. 7, 14, 21, 28, 35… 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Count by 2's Count by 7's + We need a common denominator to add these fractions.
  • 5. 7, 14, 21, 28, 35… 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 Count by 2's Count by 7's The first number IN COMMON that appears on both lists becomes the common denominator
  • 6. + = x 2 x 2 = X 7 x 7 7 6 7 + 6 = 13 Add the numerators 13 Make equivalent fractions.
  • 7. 5, 10, 15, 20, 25, 30, 35, 40, 45 7, 14, 21, 28, 35, 42, 49, 56, 63 Count by 7's Count by 5's + We need a common denominator to add these fractions.
  • 8. = x 7 x 7 = X 5 x 5 15 7 + 15 + 7 = 22 Add the numerators 22 Make equivalent fractions.
  • 9. 7, 14, 21, 28, 35, 42, 49, 56, 63 8, 16, 24, 32, 40, 48, 56, 64, 72 Count by 7's Count by 8's We need a common denominator to add these fractions. +
  • 10. = x 7 x 7 = x 8 x 8 32 21 + 32 + 21 = 53 Add the numerators 53 Make equivalent fractions.
  • 11. 3, 6, 9, 12, 15, 18, 21, 24, 27 5, 10, 15, 20, 25, 30, 35, 40, 45 Count by 3's Count by 5's + We need a common denominator to add these fractions.
  • 12. X 3 = x 5 x 5 = x 3 9 10 + 9 + 10 = 19 Add the numerators 19
  • 13. 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 11, 22, 33, 44, 55, 66, 77… Count by 3's Count by 11's + We need a common denominator to add these fractions.
  • 14. = x 11 x 11 = X 3 x 3 15 22 + 15 + 22 = 37 Add the numerators 37 Make equivalent fractions.
  • 15. 3, 6, 9, 12, 15, 18, 21, 24, 27 Count by 3's Count by 6's 6, 12, 18, 24,… + We need a common denominator to add these fractions.
  • 16. = x 1 x 1 = X 2 x 2 4 1 + 4 + 1 = 5 Add the numerators 5 Make equivalent fractions.
  • 17. 11, 22, 33, 44, 55, 66, 77… Count by 11's 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 + We need a common denominator to add these fractions.
  • 18. = x 11 x 11 = X 6 x 6 18 11 + 29 18 + 11 = 29 Add the numerators. Make equivalent fractions.
  • 19. + We need a common denominator to add these fractions.
  • 20. 9, 18, 27, 36, 45, 54, 63, 72, 81 5, 10, 15, 20, 25, 30, 35, 40, 45 Count by 5's Count by 9's + We need a common denominator to add these fractions.
  • 21. 9, 18, 27, 36, 45, 54, 63, 72, 81 5, 10, 15, 20, 25, 30, 35, 40, 45 Count by 5's Count by 9's The first number IN COMMON that appears on both lists becomes the common denominator
  • 22. + = x 5 x 5 = x9 x 9 36 35 36 + 35 = 71 Add the numerators. 71 Make equivalent fractions. 36 + 35 = 71 Add the numerators. Make equivalent fractions.
  • 23. 12, 24, 36, 48, 60, 72, 84, 96 8, 16, 24, 32, 40, 48, 56, 64, 72, 79, 80, 88, 96 Count by 12's Count by 8's + We need a common denominator to add these fractions.
  • 24. + = x 3 x 3 = x 2 x 2 19 10 + 9 = 19 Add the numerators. Make equivalent fractions. 9 10
  • 25. 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 11, 22, 33, 44, 55, 66, 77… Count by 11's Count by 5's - We need a common denominator to subtract a fraction from another.
  • 26. = x 5 x 5 = x 11 x 11 4 15 - 11 = 4 Subtract. Make equivalent fractions. - 15 11
  • 27. 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 … 10, 20, 30… Count by 2's Count by 10's - We need a common denominator to subtract one fraction from another.
  • 28. = x 1 x 1 = x 5 x 5 2 5 – 3 = 2 Subtract. Make equivalent fractions. - 5 3
  • 29. Try These A F E B C D
  • 30.
  • 31. Try These A F E B C D 17 27 19 20 10 9 41 28 26 21 13 12