fractions multiply divide
TRANSCRIPT
![Page 1: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/1.jpg)
+
Fractions Multiplication and Division
![Page 2: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/2.jpg)
+Multiplication
Multiply the numerators and put in the numerator of the result
Multiply the denominators and put in the denominator of the result
8 9 8 x 9 72
47 7 x 4 28= =x
![Page 3: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/3.jpg)
+Multiplication - Let’s Try It!
9 2
17=x
5 3
17=x
7 11
94=x
4 14
730=x
18
7
15
7
77
36
56
210
![Page 4: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/4.jpg)
+
56
210 These numbers get pretty big!
What if we needed to multiply again?
Let’s make the fraction more simple, so it will be easier to use in the future.
![Page 5: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/5.jpg)
+Simplification
Divide by the Greatest Common Factor
72
28But what is a Common Factor?
![Page 6: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/6.jpg)
+Factors
A factor is a number that can be divided into another number with no remainder 8’s factors are:
1 (8/1 =8) 2 (8/2 = 4) 4 (8/4 = 2) 8 (8/8 = 1)
3 is NOT a factor of 8, because 8 is not evenly divisible by 3 (8/3 = 2 with R=3)
![Page 7: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/7.jpg)
+Common Factors
A common factor is a factor that two numbers have in common
For example, 7 is a factor of both 21 and 105, so it is a common factor of the two.
The greatest common factor is the largest factor that the two number share
So let’s go back to our simplification problem from before…
![Page 8: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/8.jpg)
+Simplification
Divide both numerator and denominator by the Greatest Common Factor
72
28 Factors are 1, 2, 4, 7, 14, 28
Factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 48, 72
Greatest Common Factor is 4
2872 ÷
÷ 44
==
718
So7228
=7
18
![Page 9: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/9.jpg)
+Simplification - Let’s Try It!
3
1
7
2
3
1
63
18=
5
2
114
78=
7
2
19
13
9
3=
84
24=
21
7=
15
6=
![Page 10: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/10.jpg)
+Division
Just like multiplication with one more step
Invert the second fraction and multiply
8 2
13=÷
8 1
23x =
8
6
![Page 11: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/11.jpg)
+Division - Let’s Try It!
9 217
=÷
=5 3
17÷
7 1194
=÷
=4 10
720÷
914
5
21
6344
7
50
![Page 12: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/12.jpg)
+Addition
To add two fractions, you must make sure they have a Common Denominator
8
3
16
5+
What is a Common Denominator?
![Page 13: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/13.jpg)
+Common Denominator
A common denominator is a number with which both of the denominators share at least one factor that is not the number 1
For example, if the denominators are 4 and 7, then a common denominator is 28.
28 shares the factors 1, 2 and 4 with the
number 4, and the factors 1 and 7 with the number 7.
So let’s go back to our simplification problem from before…
![Page 14: Fractions multiply divide](https://reader036.vdocuments.net/reader036/viewer/2022081506/55895cccd8b42a643f8b45f5/html5/thumbnails/14.jpg)
+Review
A fraction has a numerator and a denominator
The denominator can never be 0
You can multiply, divide, add and subtract fractions
A common factor is a number that both denominators are evenly divisible by
A common denominator is a number that both denominators share a factor with