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6.4 Adding and
Subtracting Mixed
    Numbers
Adding Mixed Numbers
    Find the sum.
                              1. Rewrite the fraction using
        4
    1                            LCD if denominators are
        9                        different.

        1                     2. Add or subtract the
+   3                         fractions,
        9                        then the whole numbers.
                              3. Simplify if possible.
        5
    4
        9       In this problem, the denominators are the
                same, so begin with step 2.
Let’s Do More Examples!
    Find the sum.
         4                     7
     1                    4
         9                     8
                                       X2
         1   X3
                  3            1            2
    3                     5             =
+             =       +
         3        9            4            8
             X3                        X2

                                            9         1
         7
    4                     9                     = 1
                                            8         8
         9
                                   1
                          10                Add the whole numbers.
                                   8
Subtracting Mixed
             Numbers
  Find the Difference.
                              X6
                         3
                         = 18              10 7
  1 17              3
                      4 X 6 24                8
    20
                          1   X4              1
     3 X 4 12                       4
        =                     =             4
- 1               - 1 6             24   -    8
     5 X 4 20                 X4

                                               6
     5                                                 = 3
       = 1               14        7       6
                   2          =
                                               8         4
    20   4               24        12
                                                       3
                              7                    6
                           2                           4
                            12
Now You Try!
  Find the sum or difference.
     3 X2 6                   5   10
  3     =                  4    =
     5 X 2 10                 6   12
     9                        1
+ 7 10                   - 1 12
      15         5        1            9 =   3
 10        = 1        =       3
      10         10       2           12     4
                      1
                 11                   3
                      2           3
                                      4
Now You Try!
  Find the sum or difference.
     3 X2 6                   5   10
  3     =                  4    =
     5 X 2 10                 6   12
     9                        1
+ 7 10                   - 1 12
      15         5        1            9 =   3
 10        = 1        =       3
      10         10       2           12     4
                      1
                 11                   3
                      2           3
                                      4

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Addandsubtractmixednumbers

  • 2. Adding Mixed Numbers Find the sum. 1. Rewrite the fraction using 4 1 LCD if denominators are 9 different. 1 2. Add or subtract the + 3 fractions, 9 then the whole numbers. 3. Simplify if possible. 5 4 9 In this problem, the denominators are the same, so begin with step 2.
  • 3. Let’s Do More Examples! Find the sum. 4 7 1 4 9 8 X2 1 X3 3 1 2 3 5 = + = + 3 9 4 8 X3 X2 9 1 7 4 9 = 1 8 8 9 1 10 Add the whole numbers. 8
  • 4. Subtracting Mixed Numbers Find the Difference. X6 3 = 18 10 7 1 17 3 4 X 6 24 8 20 1 X4 1 3 X 4 12 4 = = 4 - 1 - 1 6 24 - 8 5 X 4 20 X4 6 5 = 3 = 1 14 7 6 2 = 8 4 20 4 24 12 3 7 6 2 4 12
  • 5. Now You Try! Find the sum or difference. 3 X2 6 5 10 3 = 4 = 5 X 2 10 6 12 9 1 + 7 10 - 1 12 15 5 1 9 = 3 10 = 1 = 3 10 10 2 12 4 1 11 3 2 3 4
  • 6. Now You Try! Find the sum or difference. 3 X2 6 5 10 3 = 4 = 5 X 2 10 6 12 9 1 + 7 10 - 1 12 15 5 1 9 = 3 10 = 1 = 3 10 10 2 12 4 1 11 3 2 3 4