MULTIPLYING FRACTIONS STANDARD 1.2 MULTIPLYING FRACTIONS Fractional part of a number: half a dozen Fractional part of a number: A fourth a dozen Fractional part of a number: Other parts of a dozen MIXED NUMBERS Butter Carton Problem: What is a Mixed Number? Going from Mixed Number to Improper Fraction: PROBLEMS END SHOW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

GRADE 7: Number Sense 1.2 Add, subtract, multiply and divide rational numbers and take positive rational numbers to whole-number powers 1.2 Sumar, restar, multiplicar y dividir números racionales y elevar números positivos racionales a potencias de enteros. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 2 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 6 a) 12 2 I need to form two groups from the dozen and give one to the customer: 12 1 2 12 = 1X12 2X1 12 2 = 1 2 3 4 5 6 b) = 6 1 1 2 12 1 2 3 4 5 6 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 2 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 6 a) 12 2 I need to form two groups from the dozen and give one to the customer: 12 1 2 12 = 1X12 2X1 12 2 = 1 2 3 4 5 6 b) = 6 1 1 2 12 1 2 3 4 5 6 =6 1 2 2 4 = 3 6 = 5 10 = c) 4 8 = 6 12 = PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? I need to form three groups from the dozen and give one to the customer: 4 a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 1 2 3 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 4 I need to form three groups from the dozen and give one to the customer: a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 1 2 3 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 4 I need to form three groups from the dozen and give one to the customer: a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 =4 1 2 3 4 1 3 2 6 = 3 9 = c) 4 12 = PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

How is this process called? Division 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? How is this process called? Division How can we represent this process with math symbols? 4 I need to form three groups from the dozen and give one to the customer: a) 12 3 12 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 1 3 12 =4 1 2 3 4 1 3 2 6 = 3 9 = c) 4 12 = PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Let’s concentrate in this method: 1 3 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? I need to form three groups from the dozen and give one to the customer: Let’s concentrate in this method: 1 2 3 4 1 3 12 = 1X12 3X1 12 3 = b) = 4 1 2 4 1 3 We can see that multiplying an integer, this time 12, by a fraction we are in reality dividing the number into 3! 1 3 1 2 3 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 4 STANDARD 1.2 A customer wants of a dozen eggs. How can I know how many should I give him? 1 4 12 = 1X12 4X1 12 4 = = 3 1 1 6 A customer wants of a dozen eggs. How can I know how many should I give him? 1 6 12 = 1X12 6X1 12 6 = = 2 1 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 What is the value of 1 full carton and 1 stick of butter? STANDARD 1.2 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 lb BUTTER 1 4 lb BUTTER 1 4 lb BUTTER 1 4 What is the value of 1 full carton and 1 stick of butter? 5 4 1 4 OR 1 5 4 = 1 4 4 1 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 1 What is the value of 1 full carton and 2 stick of butter? STANDARD 1.2 lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound What is the value of 1 full carton and 2 stick of butter? 6 4 1 2 4 1 2 OR OR 1 . 2 6 4 = 1 2 4 = 1 2 4 2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 What is the value of 1 full carton and 3 stick of butter? STANDARD 1.2 lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound What is the value of 1 full carton and 3 stick of butter? 7 4 1 3 4 OR 1 7 4 = 1 3 4 4 3 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

2 What is the value of 1 full carton and 4 stick of butter? STANDARD 1.2 lb BUTTER 1 4 BUTTER 1 pound lb BUTTER 1 4 BUTTER 1 pound What is the value of 1 full carton and 4 stick of butter? 8 4 2 2 OR 8 4 8 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 So, we go from an IMPROPER FRACTION to a MIXED NUMBER: STANDARD 1.2 So, we go from an IMPROPER FRACTION to a MIXED NUMBER: 1 7 4 1 3 4 7 4 = 1 3 4 4 3 How can we go from MIXED NUMBER to IMPROPER FRACTION then? (4x1) + 3 = 4 + 3 4 7 4 = 4 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 Convert to MIXED NUMBER the following IMPROPER FRACTION: STANDARD 1.2 Convert to MIXED NUMBER the following IMPROPER FRACTION: 1 9 5 1 4 5 9 5 = 1 4 5 5 4 Now convert it to IMPROPER FRACTION AGAIN: (5x1) + 4 = 5 + 4 5 9 5 = 5 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 Convert to MIXED NUMBER the following IMPROPER FRACTION: STANDARD 1.2 Convert to MIXED NUMBER the following IMPROPER FRACTION: 1 8 7 1 7 8 7 = 1 7 7 1 Now convert it to IMPROPER FRACTION AGAIN: (7x1) + 1 = 7 + 1 7 8 7 = 7 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 Convert to MIXED NUMBER the following IMPROPER FRACTION: STANDARD 1.2 Convert to MIXED NUMBER the following IMPROPER FRACTION: 1 11 8 1 3 8 11 8 = 1 3 8 8 3 Now convert it to IMPROPER FRACTION AGAIN: (8x1) + 3 = 8 + 3 8 = 11 8 8 So, what is an improper fraction? It is a fraction whose numeratior is equal or greater than the denominator. 7 5 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved