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Operations with Fractions By Teacher Angelo Addition and Subtraction of Like Fractions Examples: 1.) 2/7 + 3/7 = 5/7 2.) 8/15 + 2/15 = 10/15 or 2/3 3.)

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Presentation on theme: "Operations with Fractions By Teacher Angelo Addition and Subtraction of Like Fractions Examples: 1.) 2/7 + 3/7 = 5/7 2.) 8/15 + 2/15 = 10/15 or 2/3 3.)"— Presentation transcript:

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2 Operations with Fractions By Teacher Angelo

3 Addition and Subtraction of Like Fractions Examples: 1.) 2/7 + 3/7 = 5/7 2.) 8/15 + 2/15 = 10/15 or 2/3 3.) 7/11 - 2/11 = 5/11 4.) 6/17 - 2/17 = 4/17 Same denominator

4 Addition and Subtraction of Unlike Fractions Examples on the board different denominators

5 Properties of Addition 1.) Commutative property of addition Examples 1.) 2/3 + ½ = ½ + 2/3 2.) 3/9 + ¾ = ¾ + 3/9

6 Special Seatwork: (For 5 points) Give 5 examples of commutative property of addition.

7 2.) Associative property of addition Examples 1.) (2/3 + ½ ) + ¾ = 2/3 + ( ½ + ¾ ) 2.) (3/9 + ¾) + ½ = 3/9 + ( ¾ + ½)

8 Special Seatwork: (For 5 points) Give 5 examples of Associative property of addition.

9 Workbook Exercise A Number 1, 2, 3 and 4 on page 39 to 41

10 Multiplication and Division of Fractions

11 Multiplication of fractions by whole numbers

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13 Workbook Exercise B Number 1, 2 and 3 on page 42

14 Multiplication with Fractions Rule: Multiply the numerators and the denominators respectively and then, simplify.

15 Example 1: 1 x 3 = 1 x 3 2 4 2 x 4 = 3 8

16 Example 2: 2 x 1 = 2 x 1 3 4 3 x 4 = 2 12 = 1 6

17 Board Work: More Examples On Multiplication with fractions

18 Workbook Exercise B Number 4 on page 43

19 Division with Fractions Rule: Find the reciprocal of the divisor, multiply it to the dividend then, simplify.

20 Example 1: 1 ÷ 3 = 1 x 4 2 4 2 3 = 4 6 = 2 3

21 Example 2: 3 ÷ 5 = 3 x 6 8 6 8 5 = 18 40 = 9 20

22 Board Work: More Examples On Division with fractions

23 Workbook Exercise B Number 4 and 5 on page 43

24 Group Work: Workbook Exercise B Number 6 and 7 on page 44

25 Solving Word Problems with Fractions Example 1 Albert ate 3/8 of a cake baked by his mother. His sister ate 1/8 of it. What fraction of the cake did they both eat in total? We Understand Question: What fraction of the cake did they both eat in total? Given: Albert ate 3/8 of a cake and his sister ate 1/8 of it.

26 We Plan Key word : total Operation: addition We Solve Number Sentence: 3/8 + 1/8 = _____ Working: 3/8 + 1/8 = 3 + 1 8 = 4 8 = 1 2

27 We Check By commutative property of addition: 3/8 + 1/8 = 1/8 + 3/8 1 = 1 + 3 2 8 1 = 4 2 8 1 = 1 2 2 Answer: They both ate ½ part of the cake in total.

28 Workbook Exercise C Letter B, C, D, E, F, G and H on page 46 to 52.

29 Solving mixed operations with fractions.

30 Example 1 Working on the board:

31 Example 2

32 Example 3

33 Practice: Write and solve the following in your notebook.

34 Special Seatwork ( 3 points) Answer: 2/5

35 Special Seatwork ( 3 points) Answer: 12/121

36 Special Seatwork ( 3 points) Answer: 1

37 Special Seatwork ( 3 points) Answer: 1/2

38 Special Seatwork ( 3 points) Answer: 7/10

39 Special Seatwork ( 3 points) Answer: 1/2

40 Special Seatwork ( 3 points) Answer: 2/7

41 Special Seatwork ( 3 points) Answer: 8/21

42 Special Seatwork ( 3 points) Answer: 19/60

43 Special Seatwork ( 3 points) Answer: 2/3

44 Special Seatwork ( 3 points) Answer: 5/84

45 Special Seatwork ( 3 points) Answer: 3/28

46 Workbook Exercise D Number 1 and 2 on page 53.

47 Activity number 9

48 Solving mixed-operation word problems with fraction Example 1

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52 Workbook Exercise E Letter A, B, C and D

53 Lesson 3 Test + Vocabulary and Spelling Test


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