Page 73 - Mathematics Coursebook
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7.1 Simplifying fractions
                             7 Fractions








               !e word ‘fraction’ originally comes from the Latin word fractio      Key words
                                                                                    Key words
               which means ‘breaking into pieces’. !is makes sense as when you

               break something up into smaller parts you have fractions of it!     Make sure you learn and
               From as early as 1800 BC, the Egyptians were writing fractions.     understand these key words:

               !ey used pictures, called hieroglyphs, to write words and numbers.  numerator
               Here are the hieroglyphs they used for some numbers.                denominator
                                                                                   equivalent fraction

                           1     2    3    4     5    10    100  1000              simplify
                                                                                   common factor
                                                                                   cancel
                                                                                   simplest form
                                                                                   lowest terms
                                                                                   highest common factor

               !e Egyptians wrote all their fractions with a numerator (number     terminating
               at the top) of 1. To show they were writing a fraction they drew a   recurring
               mouth picture, which meant ‘part’, above the number.                proper fraction
                                                                                   improper fraction
                                    1
               So,           meant   and            meant   1  .                   top-heavy fraction
                                    5                      100
                                                                                   mixed number
                                                                                   divisor
                                                                                   dividend
               Can you use Egyptian hieroglyphs to write the fraction shaded in    remainder
               each of these diagrams?








               You see fractions all the time in everyday life, from signs showing distances, to posters in shops and
               recipes in cookery books.


                                                                                   Ingredients
                          3
                   Nolton 2 / 4 miles                                              250 g butter
                                                        Sale
                                                   1 / 4 off all prices in         500 g flour
                                                        store!                     1 / 2 tsp salt
                                                                                    1
                                                                                   2 / 2 tsp baking powder
                                                                                   3 eggs


               In this unit you will learn more about using and calculating with fractions.









       72      7   F ractions
               7 Fractions
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