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               \ 08-Oct-2025  Bharat Arora   Proof-9                                Reader’s Sign _______________________ Date __________








                1.  Write the following in fractions.
                  (  a)  Three-fourth = ________  (b)  One-fourth = _________  (c)  Half = _________

                2.  How much more flour was used than sugar to make the cookies? _____________
                                               1
                                         3
                3.  Which is greater:   or  ?
                                         4     4
              Fractions

                                                                      2 3 7
              A fraction represents a part of a whole such as  ,  ,  , etc.
                                                                      5 4 9
              We can see that a fraction has two numbers: one above the bar and one below the bar.

              Numerator:  The  number  above  the  bar  in  a  fraction  is  called  the  numerator.  It  tells  us
              how many parts we have.

              Denominator: The number below the bar in a fraction is called the denominator. It tells
              us how many equal parts the whole is divided into.

              The fraction bar is a line that separates the numerator and the denominator. It is called a

              vinculum.

                  Fraction        Pictorial      Numerator Denominator Fractions can also be represented
                              Representation                                   as a part of a group. For example:

                     2                                 2             5                                       3
                     5                                                                                       8


                     3                                 3             4
                     4                                                                            Numerator
                                                                                     Fraction =
                                                                                                 Denominator


                     7                                 7             9
                     9

                                                                                        Knowledge Desk

              types of Fractions                                                     The word “fraction” comes
                                                                                     from the Latin word “fractio”,
                1.  Proper  fractions:  Fractions  having  numerator  less           which means “to break”.
                    than the denominator are called proper fractions.
                                3 4
                    Example:  ,   and      11 , etc.                                           FACTS
                                5 7        13                                     Š   A fraction whose denominator

                2.  Improper  fractions:  Fractions  having  numerator               is 1 is a whole number, for
                                                                                               3
                                                                                                     9
                    greater  than  or  equal  to  the  denominator  are              example,   = 3,   = 9, etc.
                    called improper fractions.                                                 1      1
                                5 9
                    Example:  ,   and      13 , etc.                              Š   A fraction whose denominator
                                                                                     is 0 is meaningless.
                                3 5         9

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