1. 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
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2. 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.
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3. How is this process called? Division1 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
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4. 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 =
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5. How is this process called? Division1 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
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6. How is this process called? Division1 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
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7. How is this process called? Division1 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 =
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8. How is this process called? Division1 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 =
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9. 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
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10. 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
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11. 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
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12. 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
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13. 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
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14. 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
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15. 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
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16. 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
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17. 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
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18. 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
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