Page 93 - Touchpad Mathematics_Ver1.0_C5
P. 93

E:\Working\Orange_Education\TouchPad_Maths-5\Open file\Maths_5_Chapter-04
                 \ 19-Nov-2025  Bharat Arora   Proof-9             Reader’s Sign _______________________ Date __________





                                                            1        1
                Solution. Here, we observe that  2×=             8×     .
                                                            3        12
                          2    8       2        8
                That is,  =       , so   and        are equivalent fractions.
                          3    12      3        12

                Now create your own fractional wall and understand the concept of equivalent fractions.

                Take 4 square sheets of any dimensions and divide them as shown in the figures below.











                Since the size of each square is the same, dividing it into 3, 6, 9 and 12 parts does not

                change its value. Now, colour 1, 2, 3 and 4 parts, respectively and write the fractional
                value of each.











                             1                        2                         3                         4
                            3                         6                         9                         12

                Here, the shaded portions are equal, so they represent equivalent fractions.
                 1  =  12  =  13    =  14    . Hence,  =     2  =  3  =  4   are equivalent fractions.
                                        ×
                                                        1
                               ×
                       ×
                3    32       33       34               3    6    9    12
                                ×
                                        ×
                       ×
                                                                                               21 st
                          Activity                                                            Century   #Experiential Learning
                                                                                               Skills


                   In groups of 3 or 4, find different ways to make one whole using various fraction pieces
                   from a fraction kit. Write the equivalent fractions for the following that you find in the
                   process.
                               1                       1                       1                        1
                           1.                      2.                      3.                       4.
                              2                        3                       4                        5
                               1                       1                        1                        1
                          5.                       6.                      7.                       8.
                              6                        8                       10                       12





                                                                                                              91
                                                                                                Fractions
   88   89   90   91   92   93   94   95   96   97   98