Page 74 - Math Skill - 5
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72                                                                                                  Maths


        Fraction of a Fraction
        To find fraction of a fraction, we just multiply the given fractions.

                      1    3    1    3   3
        Let us find  of       =   ×    =
                      2    4    2    4   8

        Similarly,  1  of  1  =  1  ×  1  =  1
                    3     12    3   12    36


              Let’s Attempt

                                     2                                                                 1     1
        Example 1:  Multiply: 1 ×        9                       Example 2:  Find the product: 2 ×         1
                                     3                                                                 4     5
                                                                                                   3
                                                                                        1
                                                                                   1
                                       3
                         2
        Solution:       1 ×=      5  ×  9 = 15                   Solution:       2 ×   1  =   9  ×  6
                             9
                         3        3                                                4    5     4    5
                                  1                                                27      7  2
                                     1     1     1                              =      =  2
        Example 3:  Multiply: 2 ×        2 ×   3                                   10     10
                                     4     5     3
                                           3          5          Example 4:      1   of ` 1 = _______
                                     1
        Solution:       2 ×  1  2 ×  1  3  =   9  ×  11 ×  10                    2
                          4     5    3     4    5     3          Solution:      ` 1 = 100 p
                                           2    1     1
                                   311×      33      1                           1           1           50
                                    =     =     = 16                                of ` 1 =     of  100 p
                                      2      2       2                           2           2

                        4                                                                   = 50 p
        Example 5:         of 18 kg = _______ kg
                        9

                          4      2 
        Solution:           ×  18     kg = 8 kg
                          9       
                        
                                   
                                                   Exercise 5.7


          1. Multiply the following.

                                                                        3
                                                                                                  6
              (a)   2  ×  3              (b)   5  ×  26           (c)  2 ×   7            (d)  40 ×   3 19
                    4   7                     13   14                   5   19                    7     22
          2. Find the product.
                           1                            1     17                         1     3     1
              (a)  35 6×                         (b)  11 ×  1                     (c)  10 ×  2 ×   1
                          14                            5     28                         2     7     4

          3. Find the following.

              (a)   1   of 27            (b)   2   of 45          (c)   3   of 80         (d)   1   of 100
                    3                         5                       8                        4
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