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Fraction
                Addition

What will we learn today?
• addition of
  ∗ like fractions
  ∗ related fractions
• (Denominators of given fractions
  should not exceed 12)
In the previous lectures,
  we have learnt about
    Mixed Numbers
          and
  Improper Fractions

      Let’s recap!
Naming the parts



                   1
               2
                       Numerator
Whole number
                   5   Denominator
Three Types of Fractions
 There are three types of fraction:




   ⅞                ⅞
                    1
                                  1⅞
proper fraction improper fraction mixed fraction
Mixed Fractions or Improper Fractions
You can use either an improper fraction or a
mixed fraction to show the same amount.


                           15
     1⅞ =                  8
Applying
what we have learnt
3 simple steps to add fractions:
• Step 1
  – Make sure the bottom numbers
    (denominators) are the same
• Step 2
  – Add the top numbers (numerators), put the
    answer over the denominator.
• Step 3
  – Simplify the fraction (if necessary).
For example


 Add the top numbers (numerators),
put the answer over the denominator.




Simplify the fraction (if necessary).
Try this out!
                       29       2
1. Find the value of
                       7    +   7
                                    .
Solution
                         29       2
  1. Find the value of
                         7    +   7
                                      .


      29        2
      7    +    7
                     =
Step 1
  Make sure the
  bottom numbers
  (denominators)
  are the same
Solution
                       29           2
1. Find the value of
                       7        +   7
                                         .


                                    Step 2
    29        2        29+2
    7    +    7
                   =        7
                                      Add the top
                                      numbers
                                      (numerators),
                       31
                   =    7
                                      put the answer
                                      over
                                      the denominator.
Solution
                       29           2
1. Find the value of
                       7        +   7
                                        .


    29        2        29+2
    7    +    7
                   =        7
                       31
                   =    7
                           Step 3
                             Simplify the fraction


                       4
                          3 (if necessary).
                   =        7
Applying
what we have learnt
Try this out!
2. A shop has a total of 212 cameras and radios.
                  1
   After selling      of the cameras and 68
                  5
   radios, the shop had an equal number of
   cameras and radio left. How many cameras
   were left in the shop?
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radio left. How many cameras
     were left in the shop?

camera

radio
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radio left. How many cameras
     were left in the shop?

camera                       sold   This is 1 out of 5 parts

radio
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radio left. How many cameras
     were left in the shop?
         There are 4 units within.
camera                               sold

radio
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radio left. How many cameras
     were left in the shop?

camera                       sold

radio                        68 radios
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radio left. How many cameras
     were left in the shop?

camera                       sold
                                          212
radio                        68 radios
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radios left. How many cameras
     were left in the shop?

camera                               sold
                                                     212
radio                                68 radios

         The shop has an equal number of cameras and radios left.
         There are also 4 units within.
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radios left. How many cameras
     were left in the shop?

camera                               sold
                                                     212
radio                                68 radios

         Count the number of the units which have the same size.
         There are 9 units which are of the same size.
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radios left. How many cameras
     were left in the shop?

camera                          sold
                                            212
radio                           68 radios
                Step 1:   212 – 68 = 144
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radios left. How many cameras
     were left in the shop?

camera                          sold
                                            212
radio                           68 radios
                Step 1:   212 – 68 = 144
                Step 2:   212 ÷ 9 = 16
Try this out!
  2. A shop has a total of 212 cameras and radios.
                    1
     After selling      of the cameras and 68
                    5
     radios, the shop had an equal number of
     cameras and radios left. How many cameras
     were left in the shop?

camera                          sold
                                               212
radio                           68 radios
                Step 1:   212 – 68 = 144    Each small unit
                Step 2:   212 ÷ 9 = 16      represent 16 items
Try this out!
  2. A shop has a total of 212 cameras and radios.
                     1
     After selling      of the cameras and 68
                     5
     radios, the shop had an equal number of
     cameras and radios left. How many cameras
     were left in the shop?
                   ?
camera                          sold
                                               212
radio                           68 radios
                Step 1:   212 – 68 = 144    Each small unit
                Step 2:   212 ÷ 9 = 16      represent 16 items
                Step 3:   16 x 4 = 64
Summary
• Step 1
  – Make sure the bottom numbers
    (denominators) are the same
• Step 2
  – Add the top numbers (numerators), put the
    answer over the denominator.
• Step 3
  – Simplify the fraction (if necessary).
Are you ready to
  try out the
   questions?
Visit kungfumath.sg today!

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Kungfu math p4 slide8 (addition fraction)pdf

  • 1. Fraction Addition What will we learn today? • addition of ∗ like fractions ∗ related fractions • (Denominators of given fractions should not exceed 12)
  • 2. In the previous lectures, we have learnt about Mixed Numbers and Improper Fractions Let’s recap!
  • 3. Naming the parts 1 2 Numerator Whole number 5 Denominator
  • 4. Three Types of Fractions There are three types of fraction: ⅞ ⅞ 1 1⅞ proper fraction improper fraction mixed fraction
  • 5. Mixed Fractions or Improper Fractions You can use either an improper fraction or a mixed fraction to show the same amount. 15 1⅞ = 8
  • 7. 3 simple steps to add fractions: • Step 1 – Make sure the bottom numbers (denominators) are the same • Step 2 – Add the top numbers (numerators), put the answer over the denominator. • Step 3 – Simplify the fraction (if necessary).
  • 8. For example Add the top numbers (numerators), put the answer over the denominator. Simplify the fraction (if necessary).
  • 9. Try this out! 29 2 1. Find the value of 7 + 7 .
  • 10. Solution 29 2 1. Find the value of 7 + 7 . 29 2 7 + 7 = Step 1 Make sure the bottom numbers (denominators) are the same
  • 11. Solution 29 2 1. Find the value of 7 + 7 . Step 2 29 2 29+2 7 + 7 = 7 Add the top numbers (numerators), 31 = 7 put the answer over the denominator.
  • 12. Solution 29 2 1. Find the value of 7 + 7 . 29 2 29+2 7 + 7 = 7 31 = 7 Step 3 Simplify the fraction 4 3 (if necessary). = 7
  • 14. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop?
  • 15. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop? camera radio
  • 16. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop? camera sold This is 1 out of 5 parts radio
  • 17. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop? There are 4 units within. camera sold radio
  • 18. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop? camera sold radio 68 radios
  • 19. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop? camera sold 212 radio 68 radios
  • 20. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop? camera sold 212 radio 68 radios The shop has an equal number of cameras and radios left. There are also 4 units within.
  • 21. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop? camera sold 212 radio 68 radios Count the number of the units which have the same size. There are 9 units which are of the same size.
  • 22. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop? camera sold 212 radio 68 radios Step 1: 212 – 68 = 144
  • 23. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop? camera sold 212 radio 68 radios Step 1: 212 – 68 = 144 Step 2: 212 ÷ 9 = 16
  • 24. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop? camera sold 212 radio 68 radios Step 1: 212 – 68 = 144 Each small unit Step 2: 212 ÷ 9 = 16 represent 16 items
  • 25. Try this out! 2. A shop has a total of 212 cameras and radios. 1 After selling of the cameras and 68 5 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop? ? camera sold 212 radio 68 radios Step 1: 212 – 68 = 144 Each small unit Step 2: 212 ÷ 9 = 16 represent 16 items Step 3: 16 x 4 = 64
  • 26. Summary • Step 1 – Make sure the bottom numbers (denominators) are the same • Step 2 – Add the top numbers (numerators), put the answer over the denominator. • Step 3 – Simplify the fraction (if necessary).
  • 27. Are you ready to try out the questions?