1 standard 1.2 multiplying fractions fractional part of a number: other parts of a dozen fractional...
TRANSCRIPT
1
STANDARD 1.2
MULTIPLYING FRACTIONS
Fractional part of a number: Other parts of a dozen
Fractional part of a number: half a dozen
Fractional part of a number: A fourth a dozen
Butter Carton Problem: What is a Mixed Number?
Going from Mixed Number to Improper Fraction:PROBLEMS
MIXED NUMBERS
END SHOW
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2
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.
GRADE 7: Number Sense
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3
STANDARD 1.2
How can we represent this process with math symbols?
How is this process called?Division
A customer wants of a dozen eggs. How can I know how many should I give him?
12
12 26
120
I need to form two groups from the dozen and give one to the customer:
1 2 3
4 5 6
1 2 3
4 5 6
a)
b)12 1
12
=1X12
2X112 2
= = 6
12
12
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4
STANDARD 1.2
How can we represent this process with math symbols?
How is this process called?
Division
A customer wants of a dozen eggs. How can I know how many should I give him?
12
12 26
120
I need to form two groups from the dozen and give one to the customer:
1 2 3
4 5 6
1 2 3
4 5 6
a)
b)
c)
12 1
12
=1X12
2X112 2
= = 6
12
2 4
= 3 6
= 4 8
= 510
= 612
=
12
12
=6
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5
STANDARD 1.2
How can we represent this process with math symbols?
How is this process called?Division
A customer wants of a dozen eggs. How can I know how many should I give him?
13
12 34
120
I need to form three groups from the dozen and give one to the customer:
1 2
3 4
1 2
3 4
a)
b)12 1
13
=1X12
3X112 3
= = 4
13
12
2
4
1
3
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6
STANDARD 1.2
How can we represent this process with math symbols?
How is this process called?Division
A customer wants of a dozen eggs. How can I know how many should I give him?
13
12 34
120
I need to form three groups from the dozen and give one to the customer:
1 2
3 4
1 2
3 4
a)
b)12 1
13
=1X12
3X112 3
= = 4
13
12
2
4
1
3
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7
STANDARD 1.2
How can we represent this process with math symbols?
How is this process called?Division
A customer wants of a dozen eggs. How can I know how many should I give him?
13
12 34
120
I need to form three groups from the dozen and give one to the customer:
1 2
3 4
1 2
3 4
a)
b)12 1
13
=1X12
3X112 3
= = 4
13
12
2
4
1
3
c) 13
2 6
= 3 9
= 412
=
=4
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8
STANDARD 1.2
How can we represent this process with math symbols?
How is this process called?Division
A customer wants of a dozen eggs. How can I know how many should I give him?
13
12 34
120
I need to form three groups from the dozen and give one to the customer:
1 2
3 4
1 2
3 4
a)
13
12
2
4
1
3
c) 13
2 6
= 3 9
= 412
=
=4
b)12 1
13
=1X12
3X112 3
= = 4
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9
STANDARD 1.2A customer wants of a dozen eggs. How can I know how many should I give him?
13
I need to form three groups from the dozen and give one to the customer:
1 2
3 4
1 2
3 4
2
4
1
3
b)12 1
13
=1X12
3X112 3
= = 4
Let’s concentrate in this method:
We can see that multiplying an integer,
this time 12, by a fraction we are in
reality dividing the number into 3!
13
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10
STANDARD 1.2A customer wants of a dozen eggs. How can I know how many should I give him?
12 1
14
=1X12
4X112 4
= = 3
A customer wants of a dozen eggs. How can I know how many should I give him?
12 1
16
=1X12
6X112 6
= = 2
14
16
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11
STANDARD 1.2
lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4
What is the value of 1 full carton and 1 stick of butter?
54 OR 11
4 5 41
41
= 1 14
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12
STANDARD 1.2
lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4
What is the value of 1 full carton and 2 stick of butter?
64 OR 12
4 6 41
42
= 1 24
....
22 = 1 1
2
OR 112
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13
STANDARD 1.2
lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4
What is the value of 1 full carton and 3 stick of butter?
74 OR 13
4 7 41
43
= 1 34
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14
STANDARD 1.2
lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4 lb
B
UT
TE
R1
4
What is the value of 1 full carton and 4 stick of butter?
84 OR 2 8 4
2
80
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15
STANDARD 1.2
So, we go from an IMPROPER FRACTION to a MIXED NUMBER:
74 13
4 7 41
43
= 1 34
How can we go from MIXED NUMBER to IMPROPER FRACTION then?
(4x1)4
=4 + 3
47
4=+ 3
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16
STANDARD 1.2
Convert to MIXED NUMBER the following IMPROPER FRACTION:
95 14
59 51
54
= 1 45
Now convert it to IMPROPER FRACTION AGAIN:
(5x1)5
=5 + 4
59
5=+ 4
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17
STANDARD 1.2
Convert to MIXED NUMBER the following IMPROPER FRACTION:
87 11
78 71
71
= 1 17
Now convert it to IMPROPER FRACTION AGAIN:
(7x1)7
=7 + 1
78
7=+ 1
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18
STANDARD 1.2
Convert to MIXED NUMBER the following IMPROPER FRACTION:
118 13
811 81
83
= 1 38
Now convert it to IMPROPER FRACTION AGAIN:
(8x1)8
=8 + 3
8+ 3
= 118
So, what is an improper fraction?
It is a fraction whose numeratior is equal or greater than the denominator.
75
55
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