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    E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_07
                   \ 16-Feb-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________

                  Understanding Fractions

                  An object that is complete in itself is a whole. The numeral 1 is used to show one

                  whole object. Each of the following objects represents a whole.

                            1 whole cake                       1 whole apple                      1 whole pizza

                  Most of the time we cut a whole into pieces to use or consume it.

                  Look at the following things whether the pieces are equal or unequal.

                        Equal parts             Unequal parts               Equal parts             Unequal parts

                  When a whole object is divided into equal parts, each part is called a fraction.

                          Knowledge Desk

                         The word ‘fraction’ comes from the Latin word ‘fractus’ means ‘to break’. The Sanskrit term
                         for a fraction was ‘bhinna’ which also means ‘broken’.

                  half or one-half

                  When we cut a whole thing into two                                                     +

                  equal parts, each part is called one-
                                                    1
                  half. We write one-half as  .                                              1                  1
                                                    2                                        2  (half)          2  (half)

                                                                                                                       1
                  Here, one apple is cut into two equal parts. Both the parts are called halves                           .
                              1                                                                                        2
                  We read   as 1 upon 2 or 1 by 2.
                              2

                  Note that two halves make a whole.

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