8-2 Subtracting Fractions
and Mixed Numbers: Like
     Denominators
Simple subtraction...
Simple subtraction...
  3
  5
  1
- 5
Simple subtraction...
  3          5
  5          7
  1          2
- 5        - 7
Simple subtraction...
  3          5             9
  5          7            10
  1          2             6
- 5        - 7           -10
Simple subtraction...
  3          5             9
  5          7            10
  1          2             6
- 5        - 7           -10
  2
  5
Simple subtraction...
  3          5             9
  5          7            10
  1          2             6
- 5        - 7           -10
  2          3
  5          7
Simple subtraction...
  3          5             9
  5          7            10
  1          2             6
- 5        - 7           -10
  2          3             3
  5          7             10
Simple subtraction...
Simple subtraction...
  6
  8
  1
- 8
Simple subtraction...
  6          5
  8          9
  1          2
- 8        - 9
Simple subtraction...
  6          5            10
  8          9             12
  1          2             3
- 8        - 9           - 12
Simple subtraction...
  6          5            10
  8          9             12
  1          2             3
- 8        - 9           - 12
  5
  8
Simple subtraction...
  6          5            10
  8          9             12
  1          2             3
- 8        - 9           - 12
  5          3
  8          9
Simple subtraction...
  6          5            10
  8          9             12
  1          2             3
- 8        - 9           - 12
  5          3              7
  8          9             12
Simple subtraction...
  6          5            10
  8          9            12
  1          2            3
                   DON’T FORGET

- 8        - 9         -  12
                   TO SIMPLIFY!

  5          3             7
  8          9            12
Simple subtraction...
  6          5        10
  8          9        12
  1          2        3
               DON’T FORGET

- 8        - 9     -  12
               TO SIMPLIFY!

  5          3=1 7
  8          9 3 12
Skills Needed:
Skills Needed:
Renaming Mixed Numbers
Skills Needed:
Renaming Mixed Numbers
 Think of it as “borrowing.”
Skills Needed:
Renaming Mixed Numbers
 Think of it as “borrowing.”


         3     1
               3
Skills Needed:
Renaming Mixed Numbers
 Think of it as “borrowing.”


         3     1
               3

      -
Skills Needed:
Renaming Mixed Numbers
 Think of it as “borrowing.”


       3      1
              3

      -1
              2
              3
Skills Needed:
  Renaming Mixed Numbers
    Think of it as “borrowing.”

 Can you
 subtract
             3   1
                 3

            -1
the whole
numbers?         2
                 3
Skills Needed:
  Renaming Mixed Numbers
    Think of it as “borrowing.”

 Can you
 subtract
             3   1
                 3
                            Can you




            -1
                          subtract the
the whole
numbers?         2         fractions?

                 3
Skills Needed:
  Renaming Mixed Numbers
    Think of it as “borrowing.”

 Can you
 subtract
             3   1
                 3
                            Can you




            -1
                          subtract the
the whole
numbers?         2         fractions?

                 3
Skills Needed:
  Renaming Mixed Numbers
    Think of it as “borrowing.”

 Can you
 subtract
             3   1
                 3
                             Can you




            -1
                           subtract the
the whole
numbers?         2          fractions?

                 3              You cannot
                            subtract a smaller
                        fraction from a larger one.
Renaming        Identify the



                  2
                                  denominator

                      +                The “1”
                                      becomes
                                    denominator




                  2
                                    denominator
STEP ONE:
                          4
Break the whole
number into         + +   4
__ + 1



                     2        5
                              4
Renaming        Identify the



3                 2
                                  denominator
      1
      4               +                The “1”
                                      becomes
                                    denominator




                  2
                                    denominator
STEP ONE:
                          4
Break the whole
number into         + +   4
__ + 1



                     2        5
                              4
Renaming        Identify the



3                 2 1
                                  denominator
      1                       1
      4               +       4        The “1”
                                      becomes
                                    denominator




                  2
                                    denominator
STEP ONE:
                          4
Break the whole
number into         + +   4
__ + 1



                     2        5
                              4
Renaming        Identify the



3                 2 1
                                  denominator
      1                       1
      4               +       4        The “1”
                                      becomes
                                    denominator




                  2
                                    denominator
STEP ONE:
                          4
Break the whole
number into         + +   4
__ + 1



                     2        5
                              4
Renaming        Identify the



3                 2 1
                                  denominator
      1                       1
      4               +       4          The “1”
                                        becomes
                                      denominator




                  2
                                      denominator
STEP ONE:
                          4       1
Break the whole
number into         + +   4       4
__ + 1



                     2        5
                              4

8-2 Subtr. Fractions/Mixed #s