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24                                                  CHAPTER 1 Fractions



                             Practice


                                  7
                             1: 1 ¼
                                  8
                                  1
                             2: 5 ¼
                                  3
                                  4
                             3: 2 ¼
                                  7
                             4: 9  6  ¼
                                  11
                                  5
                             5: 8 ¼
                                  8



                             Solutions

                                     ð1   8Þþ 7  8 þ 7   15
                                  7
                             1: 1 ¼            ¼       ¼
                                  8      8         8      8
                                     ð5   3Þþ 1  15 þ 1   16
                                  1
                             2: 5 ¼            ¼        ¼
                                  3      3          3      3
                                     ð2   7Þþ 4  14 þ 4   18
                                  4
                             3: 2 ¼            ¼        ¼
                                  7      7          7      7
                                      ð9   11Þþ 6  99 þ 6   105
                             4: 9  6  ¼          ¼        ¼
                                  11      11         11      11
                                     ð8   8Þþ 5  64 þ 5   69
                                  5
                             5: 8 ¼            ¼        ¼
                                  8      8          8      8
                        There is a close relationship between improper fractions and division of
                        whole numbers. First let us review the parts of a division problem.

                                     quotient
                              divisor Þdividend

                                     remainder

                        In an improper fraction, the numerator is the dividend and the divisor is the
                        denominator. In a mixed number, the quotient is the whole number, the
                        remainder is the new numerator, and the divisor is the denominator.
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