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              \\October 31, 2023 3:34 PM   Bharat Arora   P-2           Reader _________________________   Date: ___________________74





                                                                                                         2
              In the given figure, 2 parts out of 3 equal parts are shaded. We express it as
                                                                                                         3
              and read it as two-thirds or two by three or two over three.

              example:  Write the fraction for the shaded parts. Also, write it in words.

                   (a)                      (b)                      (c)                      (d)




              Solution:
                          Number of shaded parts           2
                   (a)                                  =  (two-sixths)
                        Total number of equal parts        6

                          Number of shaded parts           1
                   (b)                                  =  (half)
                        Total number of equal parts        2

                   (c)    Number of shaded parts         =  5  (five-eighths)
                        Total number of equal parts         8
                          Number of shaded parts           3
                   (d)                                  =  (three-fourths)
                        Total number of equal parts        4


                       Think and Answer
                    1.  What fraction of the given triangle represents the shaded parts?
                    2.  What fraction of the given triangle represents the unshaded parts?




              numerator and denominator of a Fraction

              Monu’s mat has 9 squares. He paints 4 squares red.

                                                               4       Numerator
              The fraction representing red squares =
                                                               9       Denominator
              Here, 4 is called the Numerator and 9 is called the Denominator of the fraction.

              A fraction is written with two numbers arranged one over the

              other and separated by a horizontal line. The number above                         Remember
              the line is called the Numerator and the number below the line              The line that separates
                                                                                          the numerator and
              is called the Denominator of the fraction.                                  denominator in the
                                                                                          fraction is called 'fraction
                                   5
              examples: (a) In   , numerator = 5, denominator = 7                         bar' or 'vinculum'.
                                   7


                           (b) In   6   , numerator = 6, denominator = 11
                                  11

                       Think and Answer

                    In the word 'MATHEMATICS', what fraction of letters are vowels?


              Mathematics-4                                                                                          113
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