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Operations with Fractions By Teacher Angelo Addition and Subtraction of Like Fractions Examples: Same denominator 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 Addition and Subtraction of Unlike Fractions different denominators Examples on the board Properties of Addition 1.) Commutative property of addition Examples 1.) 2/3 + ½ = ½ + 2/3 2.) 3/9 + ¾ = ¾ + 3/9 Special Seatwork: (For 5 points) Give 5 examples of commutative property of addition. 2.) Associative property of addition Examples 1.) (2/3 + ½ ) + ¾ = 2/3 + ( ½ + ¾ ) 2.) (3/9 + ¾) + ½ = 3/9 + ( ¾ + ½) Special Seatwork: (For 5 points) Give 5 examples of Associative property of addition. Workbook Exercise A Number 1, 2, 3 and 4 on page 39 to 41 Multiplication and Division of Fractions Multiplication of fractions by whole numbers Workbook Exercise B Number 1, 2 and 3 on page 42 Multiplication with Fractions Rule: Multiply the numerators and the denominators respectively and then, simplify. Example 1: 1 x 3 =1x3 2 4 2x4 =3 8 Example 2: 2 x 1 =2x1 3 4 3x4 = 2 12 =1 6 Board Work: More Examples On Multiplication with fractions Workbook Exercise B Number 4 on page 43 Division with Fractions Rule: Find the reciprocal of the divisor, multiply it to the dividend then, simplify. Example 1: 1 ÷ 3 =1 x4 2 4 2 3 =4 6 =2 3 Example 2: 3 ÷ 5 = 3 x 6 8 6 8 5 = 18 40 = 9 20 Board Work: More Examples On Division with fractions Workbook Exercise B Number 4 and 5 on page 43 Group Work: Workbook Exercise B Number 6 and 7 on page 44 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. 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 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. Workbook Exercise C Letter B, C, D, E, F, G and H on page 46 to 52. Solving mixed operations with fractions. Example 1 Working on the board: Example 2 Example 3 Practice: Write and solve the following in your notebook. Special Seatwork ( 3 points) Answer: 2/5 Special Seatwork ( 3 points) Answer: 12/121 Special Seatwork ( 3 points) Answer: 1 Special Seatwork ( 3 points) Answer: 1/2 Special Seatwork ( 3 points) Answer: 7/10 Special Seatwork ( 3 points) Answer: 1/2 Special Seatwork ( 3 points) Answer: 2/7 Special Seatwork ( 3 points) Answer: 8/21 Special Seatwork ( 3 points) Answer: 19/60 Special Seatwork ( 3 points) Answer: 2/3 Special Seatwork ( 3 points) Answer: 5/84 Special Seatwork ( 3 points) Answer: 3/28 Workbook Exercise D Number 1 and 2 on page 53. Activity number 9 Solving mixed-operation word problems with fraction Example 1 Workbook Exercise E Letter A, B, C and D Lesson 3 Test + Vocabulary and Spelling Test