fractions – adding fractions when adding fractions the first thing you must check for is a common...
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![Page 1: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/1.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
![Page 2: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/2.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 1 : Common denominator
7
5
7
32
7
3
7
2
When denominators are the same, add your numerators, keep the same denominator…
![Page 3: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/3.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 1 : Common denominator
7
5
7
32
7
3
7
2
When denominators are the same, add your numerators, keep the same denominator…
EXAMPEL # 2 : Common denominator
9
6
9
24
9
2
9
4
When denominators are the same, add your numerators, keep the same denominator…
![Page 4: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/4.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 1 : Common denominator
7
5
7
32
7
3
7
2
When denominators are the same, add your numerators, keep the same denominator…
EXAMPEL # 2 : Common denominator
9
6
9
24
9
2
9
4
When denominators are the same, add your numerators, keep the same denominator…
3
2
39
36
9
6
Reduce your answer to lowest terms when possible…
![Page 5: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/5.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 3 : Different denominators
3
1
2
1
![Page 6: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/6.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 3 : Different denominators
3
1
2
1
Factors of 2 2 , 4 , 6 , 8 , 10…
Factors of 3 3 , 6 , 9 , 12 , 15,…
Common factor = 6
![Page 7: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/7.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 3 : Different denominators
6
2
6
3
3
1
2
1
Factors of 2 2 , 4 , 6 , 8 , 10…
Factors of 3 3 , 6 , 9 , 12 , 15,…
Common factor = 6
6
2
23
21
6
3
32
31
Find equivalent
fractions…
![Page 8: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/8.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 3 : Different denominators
6
5
6
23
6
2
6
3
3
1
2
1
Factors of 2 2 , 4 , 6 , 8 , 10…
Factors of 3 3 , 6 , 9 , 12 , 15,…
Common factor = 6
6
2
23
21
6
3
32
31
Find equivalent
fractions…
Add the numerators, keep your denominator…
![Page 9: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/9.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 4 : Different denominators
16
9
8
3
![Page 10: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/10.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 4 : Different denominators
16
9
8
3
Factors of 8 8 , 16 , 24 , 32…
Factors of 16 16, 32 , 48…
Common factor = 16
![Page 11: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/11.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 4 : Different denominators
16
96
16
9
16
6
16
9
8
3
Factors of 8 8 , 16 , 24 , 32…
Factors of 16 16, 32 , 48…
Common factor = 16
16
6
28
23
Only one equivalent
fraction needed…
![Page 12: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/12.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 4 : Different denominators
16
15
16
9
16
6
16
9
8
3
Factors of 8 8 , 16 , 24 , 32…
Factors of 16 16, 32 , 48…
Common factor = 16
16
6
28
23
Only one equivalent
fraction needed…
![Page 13: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/13.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 5 : Different denominators
20
11
10
7
5
1
![Page 14: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/14.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 5 : Different denominators
20
11
10
7
5
1
Factors of 5 5 ,10, 15 , 20 , 25 , 30…
Factors of 10 10 , 20 , 30 , 40…
Factors of 20 20 , 40 , 60,…
Common factor = 20
![Page 15: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/15.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 5 : Different denominators
20
11
20
14
20
4
20
11
10
7
5
1
Factors of 5 5 ,10, 15 , 20 , 25 , 30…
Factors of 10 10 , 20 , 30 , 40…
Factors of 20 20 , 40 , 60,…
Common factor = 20
20
14
210
27
20
4
45
41
Only two equivalent
fractions needed…
![Page 16: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/16.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 5 : Different denominators
20
11144
20
11
20
14
20
4
20
11
10
7
5
1
Factors of 5 5 ,10, 15 , 20 , 25 , 30…
Factors of 10 10 , 20 , 30 , 40…
Factors of 20 20 , 40 , 60,…
Common factor = 20
20
14
210
27
20
4
45
41
Only two equivalent
fractions needed…
![Page 17: Fractions – Adding Fractions When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must](https://reader036.vdocument.in/reader036/viewer/2022072006/56649d005503460f949d1a6c/html5/thumbnails/17.jpg)
Fractions – Adding Fractions
When adding fractions the first thing you must check for is a common denominator. If the denominators are different, you must make equivalent fractions, then add numerators and keep your denominator the same.
EXAMPLE # 5 : Different denominators
Factors of 5 5 ,10, 15 , 20 , 25 , 30…
Factors of 10 10 , 20 , 30 , 40…
Factors of 20 20 , 40 , 60,…
Common factor = 20
20
14
210
27
20
4
45
41
Only two equivalent
fractions needed…
Reduce the improper fraction to a mixed number…
20
91
20
29
20
11144
20
11
20
14
20
4
20
11
10
7
5
1