Page 75 - Mathematics Coursebook
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7.1 Simplifying fractions



               )     Exercise 7.1


               1  Copy and complete these equivalent fractions.
                         ÷2             ÷3            ÷4             ×2             ×5            ×?

                  a    4   =     b    9   =     c   8   =     d    1   =     e    3   =      f   4   =  12
                       10   5         12                  3         3                  20        7

                         ÷2             ÷3            ÷4             ×2             ×5            ×3

               2  Write each fraction in its simplest form.
                  a    2        b   15         c   6        d   14        e   22        f   25
                      10            25             9            21            77            75

               3  Write each fraction in its lowest terms.
                  a   4         b   12         c   9        d   24        e   24        f   15
                      6             30             27           40            36            18
               4  Copy and complete the equivalent fractions in these spider diagrams.

                              20   20                              6    6
                                          60   60                              30   30


                  a      8    8      2    2                 b            3    3     33   33
                                     3    3    15   15       25   25     5    5


                                          14   14                  9     9
                               9    9                                          45   45

               5  Each fraction in a pink star has an equivalent fraction in a blue star.
                  a  Match each pink star with the correct blue star.
                    There should be one blue star left over. Which is it?


                             75                                            2
                             100           11          1                   10
                                           20         20
                                                                  4
                       2          1                               10              5
                       5          5               55                             100
                                                 100                     3
                                         6                   3           5
                                         10                  4
                             64
                             100


                  b  Cancel the fraction in the blue star that is left over to its lowest terms.
               6  Harsha says:
                                                                                        3
                                               I am thinking of a fraction that is equivalent to  . The numerator
                                                                                        7
                                                   is bigger than 20. The denominator is smaller than 50.

                 What fraction is Harsha thinking of?
       74      7 Fractions
   70   71   72   73   74   75   76   77   78   79   80