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Learning Outcomes


Multiply mixed numbers with a whole number.




Divide fractions with :
a whole number.
a fraction



Divide mixed numbers with :
a whole number.
a fraction.
Multiply mixed numbers with a whole number.
    Example 1 :


                                  1 × 50

                  Convert to                     Step 1 :
                  improper                             3
                                                         × 50
                   fraction
                                                       2



     Step 2 :                                                Multiply the
      3                        3x50                         numerator by
        × 50                                                  the whole
      2                          2                             number




            Carry out
           the division               Step 3 :
                                      150
                                                              150 ÷2
                                       2
                                      Answer = 75


                                                        Cancellation
  Alternative :                                           method
                    25
                × 50 = 75
Example 2:


                          1 × 100

             Convert to
             improper                   Step 1 :
              fraction                         × 100



 Step 2 :                                           Multiply the
                                                   numerator by
  × 100                                              the whole
                                                      number




       Carry out
      the division
                             Step 3 :
                                                     ? ÷4
                             Answer = ?
Divide fractions with : a whole number and a fraction
    Example 1       :

                                       Find the quotient ÷ 5

    Change the ÷
       to x                                                                 Inverse the
                                                                              divisor
                                              5
                                              5=




                                       Step 1 :
                                              1   5
                                                ÷
                                              3   1

                                                           Multiply numerator
          Step 2 :
                                                             by numerator,
                        1   1    1                          denominator by
                          ×   =
                        3   5   15                            denominator


    Example 2 :


                                   Find the quotient ÷
                                                     ÷

    Change the ÷
       to x                                                                Inverse the
                                                                             divisor




                                       Step 1 :
                                              1   2
                                                ÷
                                              3   9



         Step 2 :          3
                               × =
                                 =                              Carry out the plan
                                                                 by cancellation
                               =   1                                method
                                                               *Don’t forget to convert
                                                               improper fraction to a
Example 3 :

                               Find the quotient ÷ 6
Change the ÷
   to x                                                    Inverse the
                                                             divisor




                   Step 1 :
                                        ÷



               Step 2 :
                                        ×          =
                          =


                      Answer in the simplest form


Example 4 :



                               Find the quotient ÷
                                                 ÷
Change the ÷
   to x                                                    Inverse the
                                                             divisor




                    Step 1 :
                                        ÷



                    Step 2 :
                                             ×         =
Divide mixed numbers with : a whole number and a fraction
                                                                Convert into
                                                              improper fraction
    Example 1 :



                                 Find the quotient    2 ÷5
   Change the ÷
      to ×                                                           Inverse the
                                                                       divisor
                                         5
                                         5=




                                  Step 1 :
                                         9        5
                                              ÷
                                         4        1

                                                        Multiply numerator
         Step 2 :
                                                          by numerator,
                        9   1   9                        denominator by
                          ×   =
                        4   5   20                         denominator


    Example 2 :


             Find the quotient     ÷
                                 4 ÷                           Convert into
                                                             improper fraction




   Change the ÷
      to x                                                           Inverse the
                                                                       divisor
                            Step 1 :
                                  40   8
                                     ÷
                                   9   9


        Step 2 :     5                                  Carry out the plan
                    40   9                               by cancellation
                       ×
                    9    8                                   method

                   =5
Example 3 :

                      Find the quotient 2 ÷ 6
Change the ÷
   to x                                                Inverse the
                                                         divisor




               Step 1 :
                                      ÷
                              7



               Step 2 :                1
                                           ×       =




 Example 4 :



                           Find the quotient 2 ÷
                                               ÷
Change the ÷
   to ×                                                Inverse the
                                                         divisor




               Step 1 :
                                      ÷
                               7



                Step 2 :                  1
                                              ×    =
Solve problems involving multiplication and division.
  Example :

      Material                 Quantity                      Price
      Yellow beads              1                            RM5 per packet
                               2 packets
                                2

                1
     Mina buys 2 packets of yellow beads. Calculate the total cost of the beads.
                2

                                       STEP 1:
                                                     1
                                                 2       × RM5
                                                     2

            Understand the
             problem and
           underline the key
                words




                                                 Convert mixed
                                                 number into
STEP 2 :
                                                 improper
                                                 fractions
                 5 × RM5
                 2




STEP 3:
              RM 25 = RM12.50
                2

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Fractions2

  • 1. Learning Outcomes Multiply mixed numbers with a whole number. Divide fractions with : a whole number. a fraction Divide mixed numbers with : a whole number. a fraction.
  • 2. Multiply mixed numbers with a whole number. Example 1 : 1 × 50 Convert to Step 1 : improper 3 × 50 fraction 2 Step 2 : Multiply the 3 3x50 numerator by × 50 the whole 2 2 number Carry out the division Step 3 : 150 150 ÷2 2 Answer = 75 Cancellation Alternative : method 25 × 50 = 75
  • 3. Example 2: 1 × 100 Convert to improper Step 1 : fraction × 100 Step 2 : Multiply the numerator by × 100 the whole number Carry out the division Step 3 : ? ÷4 Answer = ?
  • 4. Divide fractions with : a whole number and a fraction Example 1 : Find the quotient ÷ 5 Change the ÷ to x Inverse the divisor 5 5= Step 1 : 1 5 ÷ 3 1 Multiply numerator Step 2 : by numerator, 1 1 1 denominator by × = 3 5 15 denominator Example 2 : Find the quotient ÷ ÷ Change the ÷ to x Inverse the divisor Step 1 : 1 2 ÷ 3 9 Step 2 : 3 × = = Carry out the plan by cancellation = 1 method *Don’t forget to convert improper fraction to a
  • 5. Example 3 : Find the quotient ÷ 6 Change the ÷ to x Inverse the divisor Step 1 : ÷ Step 2 : × = = Answer in the simplest form Example 4 : Find the quotient ÷ ÷ Change the ÷ to x Inverse the divisor Step 1 : ÷ Step 2 : × =
  • 6. Divide mixed numbers with : a whole number and a fraction Convert into improper fraction Example 1 : Find the quotient 2 ÷5 Change the ÷ to × Inverse the divisor 5 5= Step 1 : 9 5 ÷ 4 1 Multiply numerator Step 2 : by numerator, 9 1 9 denominator by × = 4 5 20 denominator Example 2 : Find the quotient ÷ 4 ÷ Convert into improper fraction Change the ÷ to x Inverse the divisor Step 1 : 40 8 ÷ 9 9 Step 2 : 5 Carry out the plan 40 9 by cancellation × 9 8 method =5
  • 7. Example 3 : Find the quotient 2 ÷ 6 Change the ÷ to x Inverse the divisor Step 1 : ÷ 7 Step 2 : 1 × = Example 4 : Find the quotient 2 ÷ ÷ Change the ÷ to × Inverse the divisor Step 1 : ÷ 7 Step 2 : 1 × =
  • 8. Solve problems involving multiplication and division. Example : Material Quantity Price Yellow beads 1 RM5 per packet 2 packets 2 1 Mina buys 2 packets of yellow beads. Calculate the total cost of the beads. 2 STEP 1: 1 2 × RM5 2 Understand the problem and underline the key words Convert mixed number into STEP 2 : improper fractions 5 × RM5 2 STEP 3: RM 25 = RM12.50 2