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8-6 Subtracting Fractions:
   Unlike Denominators
        Number Sense 2.3
2   1
  -
3   4
2
  3
  1
- 4
2     STEP ONE: Find the LCD
      The LCD is the LCM of the
                   denominators.

  3
  1
- 4
2     STEP ONE: Find the LCD
      The LCD is the LCM of the
                   denominators.

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

  1
           4: 4, 8, 12, 16, 20


- 4
2     STEP ONE: Find the LCD
      The LCD is the LCM of the
                   denominators.

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

  1
           4: 4, 8, 12, 16, 20
               LCM (LCD) = 12

- 4
2      STEP ONE: Find the LCD
       The LCD is the LCM of the
                    denominators.

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

  1
            4: 4, 8, 12, 16, 20
                LCM (LCD) = 12

- 4   STEP TWO: Write equivalent
          fractions using the LCD
2         STEP ONE: Find the LCD


    =
          The LCD is the LCM of the
                       denominators.

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

  1
               4: 4, 8, 12, 16, 20

    =
                   LCM (LCD) = 12

- 4 12   STEP TWO: Write equivalent
             fractions using the LCD
2 x4         STEP ONE: Find the LCD


     =
             The LCD is the LCM of the
                          denominators.

  3 x4 12          3: 3, 6, 9, 12, 15

  1 x3
                  4: 4, 8, 12, 16, 20

    =
                      LCM (LCD) = 12

- 4 x3 12   STEP TWO: Write equivalent
                fractions using the LCD
2 8
    x4         STEP ONE: Find the LCD


     =
             The LCD is the LCM of the
                          denominators.

  3 x4 12          3: 3, 6, 9, 12, 15

  1 x3 3
                  4: 4, 8, 12, 16, 20

    =
                      LCM (LCD) = 12

- 4 x3 12   STEP TWO: Write equivalent
                fractions using the LCD
2 8
    x4         STEP ONE: Find the LCD


     =
             The LCD is the LCM of the
                          denominators.

  3 x4 12          3: 3, 6, 9, 12, 15

  1 x3 3
                  4: 4, 8, 12, 16, 20

    =
                      LCM (LCD) = 12

- 4 x3 12   STEP TWO: Write equivalent
                fractions using the LCD

                STEP THREE: Subtract.
                 Simplify if necessary
2 8
    x4           STEP ONE: Find the LCD


     =
               The LCD is the LCM of the
                            denominators.

  3 x4 12            3: 3, 6, 9, 12, 15

  1 x3 3
                    4: 4, 8, 12, 16, 20

    =
                        LCM (LCD) = 12

- 4 x3 12     STEP TWO: Write equivalent
                  fractions using the LCD

          5       STEP THREE: Subtract.

         12
                   Simplify if necessary
6   1
  -
8   3
6
  8
  1
- 3
6     STEP ONE: Find the LCD
      The LCD is the LCM of the
                   denominators.

  8
  1
- 3
6     STEP ONE: Find the LCD
      The LCD is the LCM of the
                   denominators.

  8         8: 8, 16, 24, 32, 40


  1
        3: 3, 6, 9, 12, 15, 18, 21, 24




- 3
6     STEP ONE: Find the LCD
      The LCD is the LCM of the
                   denominators.

  8         8: 8, 16, 24, 32, 40


  1
        3: 3, 6, 9, 12, 15, 18, 21, 24




- 3
6     STEP ONE: Find the LCD
      The LCD is the LCM of the
                   denominators.

  8         8: 8, 16, 24, 32, 40


  1
        3: 3, 6, 9, 12, 15, 18, 21, 24

               LCM (LCD) = 24

- 3
6      STEP ONE: Find the LCD
       The LCD is the LCM of the
                    denominators.

  8           8: 8, 16, 24, 32, 40


  1
          3: 3, 6, 9, 12, 15, 18, 21, 24

                 LCM (LCD) = 24

- 3   STEP TWO: Write equivalent
          fractions using the LCD
6        STEP ONE: Find the LCD


    =
         The LCD is the LCM of the
                      denominators.

  8 24         8: 8, 16, 24, 32, 40


  1
           3: 3, 6, 9, 12, 15, 18, 21, 24



    =
                  LCM (LCD) = 24

- 3 24
     STEP TWO: Write equivalent
         fractions using the LCD
6x3        STEP ONE: Find the LCD


     =
           The LCD is the LCM of the
                        denominators.

  8 x324         8: 8, 16, 24, 32, 40


  1 x8
             3: 3, 6, 9, 12, 15, 18, 21, 24



    =
                    LCM (LCD) = 24

- 3 x824STEP TWO: Write equivalent
            fractions using the LCD
6 18
   x3        STEP ONE: Find the LCD


     =
           The LCD is the LCM of the
                        denominators.

  8 x324         8: 8, 16, 24, 32, 40


  1 x8 8
             3: 3, 6, 9, 12, 15, 18, 21, 24



    =
                    LCM (LCD) = 24

- 3 x824STEP TWO: Write equivalent
            fractions using the LCD
6 18
   x3        STEP ONE: Find the LCD


     =
           The LCD is the LCM of the
                        denominators.

  8 x324         8: 8, 16, 24, 32, 40


  1 x8 8
             3: 3, 6, 9, 12, 15, 18, 21, 24



    =
                    LCM (LCD) = 24

- 3 x824STEP TWO: Write equivalent
            fractions using the LCD

              STEP THREE: Subtract.
               Simplify if necessary
6 18
   x3           STEP ONE: Find the LCD


     =
              The LCD is the LCM of the
                           denominators.

  8 x324             8: 8, 16, 24, 32, 40


  1 x8 8
                 3: 3, 6, 9, 12, 15, 18, 21, 24



    =
                        LCM (LCD) = 24

- 3 x824     STEP TWO: Write equivalent
                 fractions using the LCD

        10       STEP THREE: Subtract.

        24
                  Simplify if necessary
10
24
10
           24
Simplify
10
            24
 Simplify



 STEP ONE - Find GCF of
numerator and denominator
10
            24
 Simplify



 STEP ONE - Find GCF of
numerator and denominator
        10: 1,2,5,10
24: 1, 2, 3, 4, 6, 8, 12, 24
10
            24
 Simplify



 STEP ONE - Find GCF of
numerator and denominator
        10: 1,2,5,10
24: 1, 2, 3, 4, 6, 8, 12, 24
10
            24
 Simplify



 STEP ONE - Find GCF of
numerator and denominator
        10: 1,2,5,10
24: 1, 2, 3, 4, 6, 8, 12, 24
10
             24
 Simplify



 STEP ONE - Find GCF of
numerator and denominator
        10: 1,2,5,10
24: 1, 2, 3, 4, 6, 8, 12, 24

            GCF = 2
10
             24
 Simplify



 STEP ONE - Find GCF of        STEP TWO - Divide
numerator and denominator        numerator and
                               denominator by GCF
        10: 1,2,5,10
24: 1, 2, 3, 4, 6, 8, 12, 24

            GCF = 2
10       ÷2
             24
 Simplify
                ÷2
 STEP ONE - Find GCF of        STEP TWO - Divide
numerator and denominator        numerator and
                               denominator by GCF
        10: 1,2,5,10
24: 1, 2, 3, 4, 6, 8, 12, 24

            GCF = 2
10    5  ÷2
             24 ÷2 12
 Simplify



 STEP ONE - Find GCF of        STEP TWO - Divide
numerator and denominator        numerator and
                               denominator by GCF
        10: 1,2,5,10
24: 1, 2, 3, 4, 6, 8, 12, 24

            GCF = 2
Subtracting Fractions with Unlike Denominators

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Subtracting Fractions with Unlike Denominators

  • 1.
  • 2. 8-6 Subtracting Fractions: Unlike Denominators Number Sense 2.3
  • 3.
  • 4. 2 1 - 3 4
  • 5. 2 3 1 - 4
  • 6. 2 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 3 1 - 4
  • 7. 2 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 3 3: 3, 6, 9, 12, 15 1 4: 4, 8, 12, 16, 20 - 4
  • 8. 2 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 3 3: 3, 6, 9, 12, 15 1 4: 4, 8, 12, 16, 20 LCM (LCD) = 12 - 4
  • 9. 2 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 3 3: 3, 6, 9, 12, 15 1 4: 4, 8, 12, 16, 20 LCM (LCD) = 12 - 4 STEP TWO: Write equivalent fractions using the LCD
  • 10. 2 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 3 12 3: 3, 6, 9, 12, 15 1 4: 4, 8, 12, 16, 20 = LCM (LCD) = 12 - 4 12 STEP TWO: Write equivalent fractions using the LCD
  • 11. 2 x4 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 3 x4 12 3: 3, 6, 9, 12, 15 1 x3 4: 4, 8, 12, 16, 20 = LCM (LCD) = 12 - 4 x3 12 STEP TWO: Write equivalent fractions using the LCD
  • 12. 2 8 x4 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 3 x4 12 3: 3, 6, 9, 12, 15 1 x3 3 4: 4, 8, 12, 16, 20 = LCM (LCD) = 12 - 4 x3 12 STEP TWO: Write equivalent fractions using the LCD
  • 13. 2 8 x4 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 3 x4 12 3: 3, 6, 9, 12, 15 1 x3 3 4: 4, 8, 12, 16, 20 = LCM (LCD) = 12 - 4 x3 12 STEP TWO: Write equivalent fractions using the LCD STEP THREE: Subtract. Simplify if necessary
  • 14. 2 8 x4 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 3 x4 12 3: 3, 6, 9, 12, 15 1 x3 3 4: 4, 8, 12, 16, 20 = LCM (LCD) = 12 - 4 x3 12 STEP TWO: Write equivalent fractions using the LCD 5 STEP THREE: Subtract. 12 Simplify if necessary
  • 15.
  • 16. 6 1 - 8 3
  • 17. 6 8 1 - 3
  • 18. 6 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 1 - 3
  • 19. 6 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 1 3: 3, 6, 9, 12, 15, 18, 21, 24 - 3
  • 20. 6 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 1 3: 3, 6, 9, 12, 15, 18, 21, 24 - 3
  • 21. 6 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 1 3: 3, 6, 9, 12, 15, 18, 21, 24 LCM (LCD) = 24 - 3
  • 22. 6 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 1 3: 3, 6, 9, 12, 15, 18, 21, 24 LCM (LCD) = 24 - 3 STEP TWO: Write equivalent fractions using the LCD
  • 23. 6 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 24 8: 8, 16, 24, 32, 40 1 3: 3, 6, 9, 12, 15, 18, 21, 24 = LCM (LCD) = 24 - 3 24 STEP TWO: Write equivalent fractions using the LCD
  • 24. 6x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 1 x8 3: 3, 6, 9, 12, 15, 18, 21, 24 = LCM (LCD) = 24 - 3 x824STEP TWO: Write equivalent fractions using the LCD
  • 25. 6 18 x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 1 x8 8 3: 3, 6, 9, 12, 15, 18, 21, 24 = LCM (LCD) = 24 - 3 x824STEP TWO: Write equivalent fractions using the LCD
  • 26. 6 18 x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 1 x8 8 3: 3, 6, 9, 12, 15, 18, 21, 24 = LCM (LCD) = 24 - 3 x824STEP TWO: Write equivalent fractions using the LCD STEP THREE: Subtract. Simplify if necessary
  • 27. 6 18 x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 1 x8 8 3: 3, 6, 9, 12, 15, 18, 21, 24 = LCM (LCD) = 24 - 3 x824 STEP TWO: Write equivalent fractions using the LCD 10 STEP THREE: Subtract. 24 Simplify if necessary
  • 28. 10 24
  • 29. 10 24 Simplify
  • 30. 10 24 Simplify STEP ONE - Find GCF of numerator and denominator
  • 31. 10 24 Simplify STEP ONE - Find GCF of numerator and denominator 10: 1,2,5,10 24: 1, 2, 3, 4, 6, 8, 12, 24
  • 32. 10 24 Simplify STEP ONE - Find GCF of numerator and denominator 10: 1,2,5,10 24: 1, 2, 3, 4, 6, 8, 12, 24
  • 33. 10 24 Simplify STEP ONE - Find GCF of numerator and denominator 10: 1,2,5,10 24: 1, 2, 3, 4, 6, 8, 12, 24
  • 34. 10 24 Simplify STEP ONE - Find GCF of numerator and denominator 10: 1,2,5,10 24: 1, 2, 3, 4, 6, 8, 12, 24 GCF = 2
  • 35. 10 24 Simplify STEP ONE - Find GCF of STEP TWO - Divide numerator and denominator numerator and denominator by GCF 10: 1,2,5,10 24: 1, 2, 3, 4, 6, 8, 12, 24 GCF = 2
  • 36. 10 ÷2 24 Simplify ÷2 STEP ONE - Find GCF of STEP TWO - Divide numerator and denominator numerator and denominator by GCF 10: 1,2,5,10 24: 1, 2, 3, 4, 6, 8, 12, 24 GCF = 2
  • 37. 10 5 ÷2 24 ÷2 12 Simplify STEP ONE - Find GCF of STEP TWO - Divide numerator and denominator numerator and denominator by GCF 10: 1,2,5,10 24: 1, 2, 3, 4, 6, 8, 12, 24 GCF = 2

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