Page 90 - Start Up Mathematics_5
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1
            Solution:       Fraction of racing games =
                                                           2
                                                                 2
                            Car racing games out of these =
                                                                 5
                                                               2     1
                            Fraction of car racing games =   of
                                                               5     2
                                                                          1
                                                               2     1     2 × 1      1 × 1    1
                                                            =     ×   =            =         =
                                                               5     2     5 × 2      5 × 1    5
                                1                                               1
                            So,    of all games are car racing games.
                                5
                                               2
            Example 20:  A carpenter used   of a can of paint to paint 2 tables. He used the same amount
                                               5
                            of paint for each table. How many cans of paint did he use for each table?

                                                                          2
            Solution:       Number of cans used to paint 2 tables =
                                                                          5
                                                                          2
                                                                                    2
                            Number of cans used to paint 1 table  =   ÷ 2 =   ÷          2
                                                                          5         5    1
                                                                                     1
                                                                          2     1     2 × 1      1 × 1     1
                                                                        =    ×   =             =        =
                                                                          5     2     5 × 2      5 × 1     5
                                1                                                           1
                            So,    of a can was used to paint each table.
                                5


                                                      EXERCISE 5.4


                                           1                                                      1
              1.  In Varun’s music class,   of the students play instruments. Out of these,   play string
                                           2                                                      2
                  instruments. What fraction of students play string instruments?
                                             2
              2.  Last week, Tanu spent 4  hours doing her homework. Shreya spent 2 times as many
                                             3
                  hours doing her homework as Tanu did. How many hours did Shreya spend on doing

                  her homework?
                                                   1
              3.  Each cement block weighs 2  kg. How much do 5 such cement blocks weigh?
                                                   5
                                           1
              4.  A biscuit factory used   of a barrel of oatmeal in each batch of cookies. If the factory
                                           4
                         1
                  used   of a barrel of oatmeal one day, how many batches of cookies did factory make?
                         2
                                                             1
              5.  At the end of the night, a bakery had   of a cake left. Two employees of the bakery
                                                             4
                  took home equal amount of the leftover cake. How much cake did each employee
                  take home?
                                    3          1
              6.  Rahul walked 5  km in 2  hours. How much distance did Rahul walk in 1 hour?
                                    4          2
                                       1
              7.  If Honey bought 3  kg of apples for ` 280, then what is the cost of 1 kg apples?
                                       2


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