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Learning Outcomes


Compute length from a situation expressed in fraction.




Solve problems in real context involving computation of
length.
Compute length from a situation expressed in fraction
   Example 1:


                                               Points to note
                of 240 cm
                                                 * of = ×


               =
               =   × 240 cm

               =
               =

               = 96cmcm




      Example 2:


           1
       2        of 64 km                     *Convert the mixed number into
           4                                  improper fraction

           9
       =            64 km
           4


       =       ____ km
                4

       =           km




       NOTES:
       Cancellation Method should be emphasized to find the answer
       involving multiplication of fraction by the whole number.
                         25
       Example: 3 × 125 cm = 3 × 25 cm
                5 1
                           = 75 cm
Solve problem in real context involving computation of
length

Example 1:


                       5
        Jafri cycles       of a kilometre to reach his school. Sivam cycles 450 m to
                       8
        reach the same school.

         Between Jafri and Sivam , who cycles further to school?




      List the                                          5
                                                   *        km of
      clues given                                       8

                                                   *450 m



        Convert
        fraction of
        km to m                                     5× 1000

                                                    8
                                                    5000
                                               =            m
                                                        8

                                              = 625 m




          Comparing
          distances to get the




                            Jafri cycles 625 m
                            Sivam cycles 450 m


                            Answer: Jafri cycles further than Sivam to reach their
                            school.
Solve problem in real context involving computation of
length

Example 2:


        Safiq took part in the cross-country run which is 15 km long. He took a
                             2
        rest after running       of the way. How far was he from the finishing line?
                             3

        point?


      List the                            Total distance      =        15 km
      clues given
                                                                       2
                                          Running distance     =            of 15 km
                                                                       3



                                                                   2
                                                                        × 15 km
                 Carry out the plan
                                                                   3
                 by multiplying the
                 denominators
                                                              = ________ km
                                                                   3


                                                              =                km


                        Find the unfinish
                        distance by




                                                                        1      5    km
         Total distance          =    15 km
                                                              -         1      0    km
         Running distance        =    10 km

         Unfinished distance =        5 km                                     5    km
Solve problem in real context involving computation
of length
  Example 3:


      Diagram 1 shows the road map of four places , K , L , M and N.

                  7500 m
                             L
                                                                 N
              K
                                                M

      The distance from K to L is the same as the distance from L to M. The
                                 1
      distance from M to N is        of the distance from K to M .
                                 4


      What is the distance , in km , from K to N?


           List clues
           given                        Distance given

                                        KL =LM = 7500 m

                                                1                    1
                                        MN =     of KM           = × 7500 m = 1875 m
                                                4                    4




    Distance from K to N = 7500 m + 7500 m + 1875 m

                           = 16875 m                km               m
                                                1        6   8       7   5

                           = 16.875 km
      or

                           16 875 = 16.875 km
                            1 000
Length

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Length

  • 1. Learning Outcomes Compute length from a situation expressed in fraction. Solve problems in real context involving computation of length.
  • 2. Compute length from a situation expressed in fraction Example 1: Points to note of 240 cm * of = × = = × 240 cm = = = 96cmcm Example 2: 1 2 of 64 km *Convert the mixed number into 4 improper fraction 9 = 64 km 4 = ____ km 4 = km NOTES: Cancellation Method should be emphasized to find the answer involving multiplication of fraction by the whole number. 25 Example: 3 × 125 cm = 3 × 25 cm 5 1 = 75 cm
  • 3. Solve problem in real context involving computation of length Example 1: 5 Jafri cycles of a kilometre to reach his school. Sivam cycles 450 m to 8 reach the same school. Between Jafri and Sivam , who cycles further to school? List the 5 * km of clues given 8 *450 m Convert fraction of km to m 5× 1000 8 5000 = m 8 = 625 m Comparing distances to get the Jafri cycles 625 m Sivam cycles 450 m Answer: Jafri cycles further than Sivam to reach their school.
  • 4. Solve problem in real context involving computation of length Example 2: Safiq took part in the cross-country run which is 15 km long. He took a 2 rest after running of the way. How far was he from the finishing line? 3 point? List the Total distance = 15 km clues given 2 Running distance = of 15 km 3 2 × 15 km Carry out the plan 3 by multiplying the denominators = ________ km 3 = km Find the unfinish distance by 1 5 km Total distance = 15 km - 1 0 km Running distance = 10 km Unfinished distance = 5 km 5 km
  • 5. Solve problem in real context involving computation of length Example 3: Diagram 1 shows the road map of four places , K , L , M and N. 7500 m L N K M The distance from K to L is the same as the distance from L to M. The 1 distance from M to N is of the distance from K to M . 4 What is the distance , in km , from K to N? List clues given Distance given KL =LM = 7500 m 1 1 MN = of KM = × 7500 m = 1875 m 4 4 Distance from K to N = 7500 m + 7500 m + 1875 m = 16875 m km m 1 6 8 7 5 = 16.875 km or 16 875 = 16.875 km 1 000