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               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________





              A fraction is written with two numbers arranged one over the
                                                                                                 Math Insight
              other and separated by a horizontal line. The number above                  The line that separates

              the line is called the numerator and the number below the line              the numerator and
              is called the denominator of the fraction.                                  denominator in the
                                                                                          fraction is called 'fraction
                                                                                          bar' or 'vinculum'.
                                        5
              For examples: (a) In   , numerator = 5, denominator = 7
                                        7

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




                      Think Tank                                                                            Logical Thinking
                     In the word 'MATHEMATICS', what fraction of letters are vowels?


              Example:  Write the fraction for the shaded parts.


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





              Solution:

                          Number of shaded parts           2                Number of shaded parts          1
                   (a)                                  =            (b)                                  =
                        Total number of equal parts        6             Total number of equal parts        2


                   (c)    Number of shaded parts         =  5        (d)    Number of shaded parts        =  3
                        Total number of equal parts         8            Total number of equal parts        4




                      Fast Check                                                                             Critical Thinking
                       1.  What fraction of the given triangle represents the shaded parts?

                       2.  What fraction of the given triangle represents the unshaded parts?







                     maths fun
                                                                                                           Social Emotional Learning
                      Sweety: Let’s eat some pizza slices.
                      Titu:  Ok! I usually eat 8 slices. I am on a diet now. I will eat
                                  7
                            only   of it.
                                  8
                      Sweety: Ha ha ha!




              Mathematics-3                                                                                         107
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