Page 116 - Math Genius C4
P. 116

E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-06
               \ 30-Sep-2025  Bharat Arora   Proof-9                                Reader’s Sign _______________________ Date __________





              Unit Fraction

              A  fraction that has  1 (one) as its  numerator  is

              called a unit fraction.

              Look at the figures given alongside.                                  1           1         1       1
                                                                                    2           3         4       8
              In each figure, only one part is shaded.

                                      ,
              So, the fractions     1 1 1       and   1  that represent the shaded                    Note
                                          ,
                                    2 3 4            8                                        A unit fraction is a
              parts are some examples of unit fractions.                                      special type of proper
                                                                                              fraction.
              mixed Fractions


              A mixed fraction is a fraction in which there is a combination

                                                                     1                                  1          1
              of a whole number and a proper fraction.  1  is an example                                           4
              of a mixed fraction.                                   4
                                                                                                          1
              This  fraction  comprises  a  whole  number  1  and  a  proper                            1  4

                         1
              fraction     .
                         4                                                                   Whole part
                                                                                                      1
                1     3    2                                                                        1       fractional
              2 ,   3 ,  4 , etc. are some examples of mixed fractions.                               4        part
                4     7    9                                                                   Mixed Fraction
              Also, observe that

                                                                                            1            1

              1 whole and 1 quarter = 5 quarters.                                      =    4            4
                          1      5                                               1          1            1       1
              That is,  1  =                                           1                    4            4       4
                          4      4                                               4

                                                                         1 1                            5
                                                                           4                            4
              This means, a mixed fraction is another form of an improper fraction, and vice versa.



                      Fast Check
                     Shade all the boxes that contain improper fractions.


                          12            7            13           23             3            14           19
                          13            18           14           27             7             3           33
                           2            17           18            3            15            17           21
                           3            8            17            17           16            10           19
                          11            10            3           23            42            12            9
                          12            7             4           72            33            13            33



             114                                                                                    Mathematics-4
   111   112   113   114   115   116   117   118   119   120   121