Page 87 - Math Course 1 (Book 1)
P. 87

Dividing Rational Numbers





               Divide by a Fraction or Whole                           =  14  ( -  9  (  Multiply by the multiplicative
                                                                                               9
               Number                                                    3     28   inverse of  -  28  -  28
                                                                                                     9
                Examples                                                1 14  3 9   Divide by common factors.
                                                                       =    ( -    (
                                                                         3     28
                 Find each quotient. Write in simplest form.            1     2
                   4      3
                         ÷
                   5     10                                                          3      1
                                                                      Answer       =-  or -1   Simplify.
                                                                                     2      2
                   4      3   4    10 Multiply by the reciprocal
                         ÷   =
                                              10
                                          3
                   5     10   5     3 of       ,        .


                                         10   3
                                                                   Your Turn!
                                   2
                               4    10 Divide by the GCF, 5.
                             =                                    Find Multiplicative Inverse
                             1  5   3                                                             4
                                                                   Find the multiplicative inverse of     9
                   Answer          8  or 2   2  Simplify.          A.    4      C.     9
                                                                        9
                                                                                     9
                                  3       3
                                                                   B.     4     D.     9
                                                                        4            4
                 Find each quotient. Write in simplest form.
                                                                    Answer
                     5
                           ÷ 3
                     6                                             Find the multiplicative inverse of  2   4
                     5        5    3   Write 3 as   3                                               7
                           ÷ 3  =   ÷             1                      7           18
                     6        6    1                               A.           C.
                                                                        18            7
                     5    3   5    1   Multiply by the reciprocal        7            7
                       ÷    =                                      B.           D.  2
                                           3
                                                1
                     6    1   6    3   of         ,        .             7            4
                                           1    3
                                                                    Answer
                              5        Multiply.
                            =
                              18
                                                                  Divide by a Fraction or Whole Number
                                            5                            3     5
                    Answer                  18                     Find     8    ÷  6  . Write the product in simplest
                                                                   form.

                                                                    A.    18            C.   3
                                                                        40                   8
               Divide by a Mixed Number                                                      1
                                                                    B.    9             D.    20
                                                                        20
                Example



                         3      1
                               -3
                 Find  4   ÷ (      (  Write the quotient in simplest
                         9      9
                                     form.
                   3      1     14    28 Rename the mixed
                4    ÷ (      (  =  ÷-
                         -3
                   9      9     3      9  numbers as improper
                                          fraction.
                                                                    Answer


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