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7.4 Dividing Fractions



                                                          Mr. Williams
                                                             GESD
                                                     jwilliams@gesd40.org




Objective: Use reciprocals to divide fractions in 
           class and on a worksheet.




                                                                            1
Vocabulary
                                                          5           3
Reciprocal ­ two numbers, whose product is one. (Such as         and          )
                                                          3           5




                              3
                                                 12
                             12
What is the reciprocal of           ?
                                                  3




                                                                                  2
Warm Up ­ Answer these in your math notes.


   1        1                           1        5
   2
       +
            8                           4
                                             x   6


  1          2                          3        1
       +     6                          4    x   2
 12




                                                     3
Dividing Fractions is easy. It is just like multiplying fractions with one more step.



To divide a fraction, multiply by its reciprocal.

 2          3            2         4
     ÷            =          x
 3          4            3         3       All you do is quot;switchquot; the 
                                           second fraction then multiply.




                                                                                        4
Solve these problems in your math notes.




  5         4                              5         3
      ÷           =                             x
  8         3                              8         4



  7           1                             7           2
       ÷          =                               x
                                           10          1
 10          2




                                                            5
Write a fraction divison problem in your math notes.
We will share some of them on the board.




                                                       6
Dividing Fractions and Whole Numbers


 1. Change the whole number into a fraction.

 2. Find the reciprocal of your second fraction.

 3. Multiply the fractions.




                                                   7
So what does all that mean?
               3
Divide 6 by
               4


           3           6   3       6       4
6 ÷                =           =       x
           4           1 ÷ 4       1       3




                                               8
Solve these problems in your math notes.
  9
 10 ÷
          3    =


         2
 12    ÷ 3      =


Finish this sentence:
You divide fractions by ...




                                           9

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7.4 Dividing Fractions