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8-8 Subtracting Mixed
      Numbers
      Number Sense 2.3
19   1
     3   9   11
             12
19   1
     3   -   9   11
                 12
19    1
      3

 9   11
     12
19    1
            STEP ONE: Find the LCD
          The LCD is the LCM of the


      3
                       denominators.




 9   11
     12
19    1
            STEP ONE: Find the LCD
          The LCD is the LCM of the


      3
                       denominators.




 9
               3: 3, 6, 9, 12, 15

     11       12: 12, 24, 36, 48


     12
19    1
            STEP ONE: Find the LCD
          The LCD is the LCM of the


      3
                       denominators.




 9
               3: 3, 6, 9, 12, 15

     11       12: 12, 24, 36, 48


     12
19    1
            STEP ONE: Find the LCD
          The LCD is the LCM of the


      3
                       denominators.




 9
               3: 3, 6, 9, 12, 15

     11       12: 12, 24, 36, 48


     12
                     LCD = 12
19    1
            STEP ONE: Find the LCD
          The LCD is the LCM of the


      3
                       denominators.




 9
               3: 3, 6, 9, 12, 15

     11       12: 12, 24, 36, 48


     12
                     LCD = 12
          STEP TWO: Write equivalent
              fractions using the LCD
19    1 =
              STEP ONE: Find the LCD
            The LCD is the LCM of the


      3
                         denominators.




 9
                 3: 3, 6, 9, 12, 15

     11 =       12: 12, 24, 36, 48


     12
                       LCD = 12
            STEP TWO: Write equivalent
                fractions using the LCD
19    1 =
               STEP ONE: Find the LCD
             The LCD is the LCM of the


      3 12
                          denominators.




 9
                  3: 3, 6, 9, 12, 15

     11 =        12: 12, 24, 36, 48


     12 12
                        LCD = 12
             STEP TWO: Write equivalent
                 fractions using the LCD
19    1 x4
                  STEP ONE: Find the LCD

         =      The LCD is the LCM of the


      3 x4 12
                             denominators.




 9
                     3: 3, 6, 9, 12, 15

     11 =
        x1          12: 12, 24, 36, 48


     12 x1 12
                           LCD = 12
                STEP TWO: Write equivalent
                    fractions using the LCD
19    1 x4 4
                  STEP ONE: Find the LCD

         =      The LCD is the LCM of the


      3 x4 12
                             denominators.




 9
                     3: 3, 6, 9, 12, 15

     11 =
        x1          12: 12, 24, 36, 48


     12 x1 12
                           LCD = 12
                STEP TWO: Write equivalent
                    fractions using the LCD
19    1 x4 4
                  STEP ONE: Find the LCD

         =      The LCD is the LCM of the


      3 x4 12
                             denominators.




 9
                     3: 3, 6, 9, 12, 15
        x1 11
     11 =           12: 12, 24, 36, 48


     12 x1 12
                           LCD = 12
                STEP TWO: Write equivalent
                    fractions using the LCD
19    1 x4 4
                     STEP ONE: Find the LCD

         =         The LCD is the LCM of the


      3 x4 12
                                denominators.




 9
                        3: 3, 6, 9, 12, 15
        x1 11
     11 =              12: 12, 24, 36, 48


     12 x1 12
                              LCD = 12
                   STEP TWO: Write equivalent
                       fractions using the LCD


   Can you subtract a smaller
 fraction from a larger fraction?
Rename

19   4
     12
 9   11
     12
Rename

19                 4
                   12
 9   11
     12
Rename
                  4
                  12
9   11
    12
Rename

18+1               4
                   12
 9   11
     12
Rename

18+         1     4
                  12
9   11
    12
Rename

18+               4
                  12
9   11
    12
Rename

18+         12 4
            12 12
9   11
    12
Rename

18+         12 + 4
            12 12
9   11
    12
Rename

18+         12 + 4
            12 12
                     16
                     12
9   11
    12
Rename

18+               16
                  12
9   11
    12
Rename

                  18   16
                       12
9   11
    12
Rename

         18   16
              12
          9   11
              12
Rename

         18   16
              12
          9   11
              12

          9    5
              12
12 6
 2
 5   -   1
         2
12   2
     5

 6   1
     2
12   2
           STEP ONE: Find the LCD
         The LCD is the LCM of the


     5
                      denominators.




 6   1
     2
12   2
           STEP ONE: Find the LCD
         The LCD is the LCM of the


     5
                      denominators.




 6
             5: 5, 10, 15, 20, 25

     1        2: 2, 4, 6, 8, 10


     2
12   2
           STEP ONE: Find the LCD
         The LCD is the LCM of the


     5
                      denominators.




 6
             5: 5, 10, 15, 20, 25

     1        2: 2, 4, 6, 8, 10


     2
12   2
           STEP ONE: Find the LCD
         The LCD is the LCM of the


     5
                      denominators.




 6
             5: 5, 10, 15, 20, 25

     1        2: 2, 4, 6, 8, 10


     2
                    LCD = 10
12   2
           STEP ONE: Find the LCD
         The LCD is the LCM of the


     5
                      denominators.




 6
             5: 5, 10, 15, 20, 25

     1        2: 2, 4, 6, 8, 10


     2
                    LCD = 10
         STEP TWO: Write equivalent
             fractions using the LCD
12   2=
             STEP ONE: Find the LCD
           The LCD is the LCM of the


     5
                        denominators.




 6
               5: 5, 10, 15, 20, 25

     1 =        2: 2, 4, 6, 8, 10


     2
                      LCD = 10
           STEP TWO: Write equivalent
               fractions using the LCD
12   2=
              STEP ONE: Find the LCD
            The LCD is the LCM of the


     5 10
                         denominators.




 6
                5: 5, 10, 15, 20, 25

     1 =         2: 2, 4, 6, 8, 10


     2 10
                       LCD = 10
            STEP TWO: Write equivalent
                fractions using the LCD
12   2 x2
                 STEP ONE: Find the LCD

        =      The LCD is the LCM of the


     5 x2 10
                            denominators.




 6
                   5: 5, 10, 15, 20, 25

     1 =
       x5           2: 2, 4, 6, 8, 10


     2 x510
                          LCD = 10
               STEP TWO: Write equivalent
                   fractions using the LCD
12   2 x2 4
                 STEP ONE: Find the LCD

        =      The LCD is the LCM of the


     5 x2 10
                            denominators.




 6
                   5: 5, 10, 15, 20, 25

     1 =
       x5           2: 2, 4, 6, 8, 10


     2 x510
                          LCD = 10
               STEP TWO: Write equivalent
                   fractions using the LCD
12   2 x2 4
                 STEP ONE: Find the LCD

        =      The LCD is the LCM of the


     5 x2 10
                            denominators.




 6
                   5: 5, 10, 15, 20, 25
       x5 5
     1 =            2: 2, 4, 6, 8, 10


     2 x510
                          LCD = 10
               STEP TWO: Write equivalent
                   fractions using the LCD
12    2 x2 4
                     STEP ONE: Find the LCD

         =         The LCD is the LCM of the


      5 x2 10
                                denominators.




 6
                       5: 5, 10, 15, 20, 25
        x5 5
      1 =               2: 2, 4, 6, 8, 10


      2 x510
                              LCD = 10
                   STEP TWO: Write equivalent
                       fractions using the LCD


   Can you subtract a smaller
 fraction from a larger fraction?
Rename

12    4
     10
 6    5
     10
Rename

12                  4
                   10
 6    5
     10
Rename
                   4
                  10
6    5
    10
Rename

11 +1              4
                  10
6    5
    10
Rename

11 +        1      4
                  10
6    5
    10
Rename

11 +               4
                  10
6    5
    10
Rename

11 +        10 4
            10 10
6    5
    10
Rename

11 +        10 + 4
            10 10
6    5
    10
Rename

11 +        10 + 4
            10 10
                     14
                     10
6    5
    10
Rename

11 +              14
                  10
6    5
    10
Rename

                  11   14
                       10
6    5
    10
Rename

         11   14
              10
          6    5
              10
Rename

         11
          14
          10
          65
          10

          59
          10
6   -   4   2
            8
62
48
62
     STEP ONE: The whole number
           doesn’t have a fraction.
     So rename the whole number.




48
62
     STEP ONE: The whole number
           doesn’t have a fraction.
     So rename the whole number.




48
     6
62
     STEP ONE: The whole number
           doesn’t have a fraction.
     So rename the whole number.




48
     6
62
     STEP ONE: The whole number
           doesn’t have a fraction.
     So rename the whole number.




48
     6 5
62
     STEP ONE: The whole number
           doesn’t have a fraction.
     So rename the whole number.




48
     6 5          +
62
      STEP ONE: The whole number
            doesn’t have a fraction.
      So rename the whole number.




48
     6 5 1         +
62
      STEP ONE: The whole number
            doesn’t have a fraction.
      So rename the whole number.




48
     6 5 1         +
      STEP TWO: Change the “1” in a
            fraction. Take notice of
                    the denominator.
62
      STEP ONE: The whole number
            doesn’t have a fraction.
      So rename the whole number.




48
     6 5 1         +
      STEP TWO: Change the “1” in a
            fraction. Take notice of
                    the denominator.
62
     STEP ONE: The whole number
           doesn’t have a fraction.
     So rename the whole number.




48
     6 5          +
     STEP TWO: Change the “1” in a
           fraction. Take notice of
                   the denominator.
62
     STEP ONE: The whole number
           doesn’t have a fraction.
     So rename the whole number.




4    6 5           8
                  +8
 8   STEP TWO: Change the “1” in a
           fraction. Take notice of
                   the denominator.
STEP ONE: The whole number
              doesn’t have a fraction.
        So rename the whole number.




4       6 5           8
                     +8
    2
    8   STEP TWO: Change the “1” in a
              fraction. Take notice of
                      the denominator.
5   8
        STEP ONE: The whole number
              doesn’t have a fraction.
        So rename the whole number.

    8
4       6 5           8
                     +8
    2
    8   STEP TWO: Change the “1” in a
              fraction. Take notice of
                      the denominator.
5   8
        STEP ONE: The whole number
              doesn’t have a fraction.
        So rename the whole number.

    8
4       6 5           8
                     +8
    2
    8   STEP TWO: Change the “1” in a




1
              fraction. Take notice of
                      the denominator.

    6
    8
5   8
        STEP ONE: The whole number
              doesn’t have a fraction.
        So rename the whole number.

    8
4       6 5           8
                     +8
    2
    8   STEP TWO: Change the “1” in a




1
              fraction. Take notice of
                      the denominator.

    6
    8     STEP THREE: Don’t forget to
                simplify your answer.
Rename

12    4
     10
 6    5
     10
Rename

12                  4
                   10
 6    5
     10
Rename
                   4
                  10
6    5
    10
Rename

11 +1              4
                  10
6    5
    10
Rename

11 +        1      4
                  10
6    5
    10
Rename

11 +               4
                  10
6    5
    10
Rename

11 +        10 4
            10 10
6    5
    10
Rename

11 +        10 + 4
            10 10
6    5
    10
Rename

11 +        10 + 4
            10 10
                     14
                     10
6    5
    10
Rename

11 +              14
                  10
6    5
    10
Rename

                  11   14
                       10
6    5
    10
Rename

         11   14
              10
          6    5
              10
Rename

         11
          14
          10
          65
          10

          59
          10
8-8 Subtracting Mixed Numbers

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8-8 Subtracting Mixed Numbers

  • 1. 8-8 Subtracting Mixed Numbers Number Sense 2.3
  • 2. 19 1 3 9 11 12
  • 3. 19 1 3 - 9 11 12
  • 4. 19 1 3 9 11 12
  • 5. 19 1 STEP ONE: Find the LCD The LCD is the LCM of the 3 denominators. 9 11 12
  • 6. 19 1 STEP ONE: Find the LCD The LCD is the LCM of the 3 denominators. 9 3: 3, 6, 9, 12, 15 11 12: 12, 24, 36, 48 12
  • 7. 19 1 STEP ONE: Find the LCD The LCD is the LCM of the 3 denominators. 9 3: 3, 6, 9, 12, 15 11 12: 12, 24, 36, 48 12
  • 8. 19 1 STEP ONE: Find the LCD The LCD is the LCM of the 3 denominators. 9 3: 3, 6, 9, 12, 15 11 12: 12, 24, 36, 48 12 LCD = 12
  • 9. 19 1 STEP ONE: Find the LCD The LCD is the LCM of the 3 denominators. 9 3: 3, 6, 9, 12, 15 11 12: 12, 24, 36, 48 12 LCD = 12 STEP TWO: Write equivalent fractions using the LCD
  • 10. 19 1 = STEP ONE: Find the LCD The LCD is the LCM of the 3 denominators. 9 3: 3, 6, 9, 12, 15 11 = 12: 12, 24, 36, 48 12 LCD = 12 STEP TWO: Write equivalent fractions using the LCD
  • 11. 19 1 = STEP ONE: Find the LCD The LCD is the LCM of the 3 12 denominators. 9 3: 3, 6, 9, 12, 15 11 = 12: 12, 24, 36, 48 12 12 LCD = 12 STEP TWO: Write equivalent fractions using the LCD
  • 12. 19 1 x4 STEP ONE: Find the LCD = The LCD is the LCM of the 3 x4 12 denominators. 9 3: 3, 6, 9, 12, 15 11 = x1 12: 12, 24, 36, 48 12 x1 12 LCD = 12 STEP TWO: Write equivalent fractions using the LCD
  • 13. 19 1 x4 4 STEP ONE: Find the LCD = The LCD is the LCM of the 3 x4 12 denominators. 9 3: 3, 6, 9, 12, 15 11 = x1 12: 12, 24, 36, 48 12 x1 12 LCD = 12 STEP TWO: Write equivalent fractions using the LCD
  • 14. 19 1 x4 4 STEP ONE: Find the LCD = The LCD is the LCM of the 3 x4 12 denominators. 9 3: 3, 6, 9, 12, 15 x1 11 11 = 12: 12, 24, 36, 48 12 x1 12 LCD = 12 STEP TWO: Write equivalent fractions using the LCD
  • 15. 19 1 x4 4 STEP ONE: Find the LCD = The LCD is the LCM of the 3 x4 12 denominators. 9 3: 3, 6, 9, 12, 15 x1 11 11 = 12: 12, 24, 36, 48 12 x1 12 LCD = 12 STEP TWO: Write equivalent fractions using the LCD Can you subtract a smaller fraction from a larger fraction?
  • 16. Rename 19 4 12 9 11 12
  • 17. Rename 19 4 12 9 11 12
  • 18. Rename 4 12 9 11 12
  • 19. Rename 18+1 4 12 9 11 12
  • 20. Rename 18+ 1 4 12 9 11 12
  • 21. Rename 18+ 4 12 9 11 12
  • 22. Rename 18+ 12 4 12 12 9 11 12
  • 23. Rename 18+ 12 + 4 12 12 9 11 12
  • 24. Rename 18+ 12 + 4 12 12 16 12 9 11 12
  • 25. Rename 18+ 16 12 9 11 12
  • 26. Rename 18 16 12 9 11 12
  • 27. Rename 18 16 12 9 11 12
  • 28. Rename 18 16 12 9 11 12 9 5 12
  • 29. 12 6 2 5 - 1 2
  • 30. 12 2 5 6 1 2
  • 31. 12 2 STEP ONE: Find the LCD The LCD is the LCM of the 5 denominators. 6 1 2
  • 32. 12 2 STEP ONE: Find the LCD The LCD is the LCM of the 5 denominators. 6 5: 5, 10, 15, 20, 25 1 2: 2, 4, 6, 8, 10 2
  • 33. 12 2 STEP ONE: Find the LCD The LCD is the LCM of the 5 denominators. 6 5: 5, 10, 15, 20, 25 1 2: 2, 4, 6, 8, 10 2
  • 34. 12 2 STEP ONE: Find the LCD The LCD is the LCM of the 5 denominators. 6 5: 5, 10, 15, 20, 25 1 2: 2, 4, 6, 8, 10 2 LCD = 10
  • 35. 12 2 STEP ONE: Find the LCD The LCD is the LCM of the 5 denominators. 6 5: 5, 10, 15, 20, 25 1 2: 2, 4, 6, 8, 10 2 LCD = 10 STEP TWO: Write equivalent fractions using the LCD
  • 36. 12 2= STEP ONE: Find the LCD The LCD is the LCM of the 5 denominators. 6 5: 5, 10, 15, 20, 25 1 = 2: 2, 4, 6, 8, 10 2 LCD = 10 STEP TWO: Write equivalent fractions using the LCD
  • 37. 12 2= STEP ONE: Find the LCD The LCD is the LCM of the 5 10 denominators. 6 5: 5, 10, 15, 20, 25 1 = 2: 2, 4, 6, 8, 10 2 10 LCD = 10 STEP TWO: Write equivalent fractions using the LCD
  • 38. 12 2 x2 STEP ONE: Find the LCD = The LCD is the LCM of the 5 x2 10 denominators. 6 5: 5, 10, 15, 20, 25 1 = x5 2: 2, 4, 6, 8, 10 2 x510 LCD = 10 STEP TWO: Write equivalent fractions using the LCD
  • 39. 12 2 x2 4 STEP ONE: Find the LCD = The LCD is the LCM of the 5 x2 10 denominators. 6 5: 5, 10, 15, 20, 25 1 = x5 2: 2, 4, 6, 8, 10 2 x510 LCD = 10 STEP TWO: Write equivalent fractions using the LCD
  • 40. 12 2 x2 4 STEP ONE: Find the LCD = The LCD is the LCM of the 5 x2 10 denominators. 6 5: 5, 10, 15, 20, 25 x5 5 1 = 2: 2, 4, 6, 8, 10 2 x510 LCD = 10 STEP TWO: Write equivalent fractions using the LCD
  • 41. 12 2 x2 4 STEP ONE: Find the LCD = The LCD is the LCM of the 5 x2 10 denominators. 6 5: 5, 10, 15, 20, 25 x5 5 1 = 2: 2, 4, 6, 8, 10 2 x510 LCD = 10 STEP TWO: Write equivalent fractions using the LCD Can you subtract a smaller fraction from a larger fraction?
  • 42. Rename 12 4 10 6 5 10
  • 43. Rename 12 4 10 6 5 10
  • 44. Rename 4 10 6 5 10
  • 45. Rename 11 +1 4 10 6 5 10
  • 46. Rename 11 + 1 4 10 6 5 10
  • 47. Rename 11 + 4 10 6 5 10
  • 48. Rename 11 + 10 4 10 10 6 5 10
  • 49. Rename 11 + 10 + 4 10 10 6 5 10
  • 50. Rename 11 + 10 + 4 10 10 14 10 6 5 10
  • 51. Rename 11 + 14 10 6 5 10
  • 52. Rename 11 14 10 6 5 10
  • 53. Rename 11 14 10 6 5 10
  • 54. Rename 11 14 10 65 10 59 10
  • 55. 6 - 4 2 8
  • 56. 62 48
  • 57. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48
  • 58. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6
  • 59. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6
  • 60. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6 5
  • 61. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6 5 +
  • 62. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6 5 1 +
  • 63. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6 5 1 + STEP TWO: Change the “1” in a fraction. Take notice of the denominator.
  • 64. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6 5 1 + STEP TWO: Change the “1” in a fraction. Take notice of the denominator.
  • 65. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 48 6 5 + STEP TWO: Change the “1” in a fraction. Take notice of the denominator.
  • 66. 62 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 4 6 5 8 +8 8 STEP TWO: Change the “1” in a fraction. Take notice of the denominator.
  • 67. STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 4 6 5 8 +8 2 8 STEP TWO: Change the “1” in a fraction. Take notice of the denominator.
  • 68. 5 8 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 8 4 6 5 8 +8 2 8 STEP TWO: Change the “1” in a fraction. Take notice of the denominator.
  • 69. 5 8 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 8 4 6 5 8 +8 2 8 STEP TWO: Change the “1” in a 1 fraction. Take notice of the denominator. 6 8
  • 70. 5 8 STEP ONE: The whole number doesn’t have a fraction. So rename the whole number. 8 4 6 5 8 +8 2 8 STEP TWO: Change the “1” in a 1 fraction. Take notice of the denominator. 6 8 STEP THREE: Don’t forget to simplify your answer.
  • 71. Rename 12 4 10 6 5 10
  • 72. Rename 12 4 10 6 5 10
  • 73. Rename 4 10 6 5 10
  • 74. Rename 11 +1 4 10 6 5 10
  • 75. Rename 11 + 1 4 10 6 5 10
  • 76. Rename 11 + 4 10 6 5 10
  • 77. Rename 11 + 10 4 10 10 6 5 10
  • 78. Rename 11 + 10 + 4 10 10 6 5 10
  • 79. Rename 11 + 10 + 4 10 10 14 10 6 5 10
  • 80. Rename 11 + 14 10 6 5 10
  • 81. Rename 11 14 10 6 5 10
  • 82. Rename 11 14 10 6 5 10
  • 83. Rename 11 14 10 65 10 59 10

Editor's Notes