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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_06
                 \ 12-Sep-2024                      Surender Prajapati   Proof-4              Reader’s Sign _______________________ Date __________

                          Encapsulate
                      math
                                                                  FrACtIONS

                                    equal and Unequal Parts                                     Fractions of a region

                                                                                    Halves       Thirds       Fourths

                     Two     Two    Three   Three     Four     Four               Two halves   Three one-   Four-fourths
                   unequal  equal  unequal   equal   unequal   equal                make a    thirds make a   make a
                     parts  parts   parts    parts   parts     parts                whole.       whole.       whole.

                                Writing Fractions

                              Number of parts being talked about
                    Fraction =
                                 Total number of equal parts                      Numerator and denominator of a Fraction
                    Example:                                                                 2
                                                                                    Example:      Numerator
                                                                                             9    Denominator
                               Number of pink parts   2
                            Total number of equal parts  =  6
                                                                                          Fraction of a Collection
                      Fractions of a Collection using division

                   Half of a Collection: To find half of a collection, we divide
                   it by 2.
                   One-third of a Collection: To find one-third of a collection,             Number of red kites   1
                   we divide it by 3.                                                Example:  Total number of kites  =  3
                   One-fourth of a Collection: To find one-fourth of a                       Thus,   of the kites are red.
                                                                                                  1
                   collection, we divide it by 4.                                                 3

                          Mental Maths

                       1.   In the word 'DENOMINATOR', which fraction of the word represented by the
                          letter ‘N’?
                       2.  What is the fraction of each colour in the rainbow given alongside?
                                                                                              3
                       3.   Add 3 to numerator and 5 to denominator of a given fraction  . What will
                          be the new fraction?                                                5

                                                                                                                7
                       4.   Multiply numerator by 3 and add 10 to the denominator of the given fraction            . What
                          will be the new fraction?                                                            16
                       5.   Find:
                           1                                            1
                      (a)   of one year = _____months              (b)    of an hour = _____ minutes
                           2                                            4
                           1
                       (c)   of a dozen = _____ item               (d)   1   of a score = _____ items (1 score = 20 items)
                           3                                            5

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