fractions – adding fractions when adding fractions the first thing you must check for is a common...
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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.
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…
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…
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…
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
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
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…
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…
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
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
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…
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…
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
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
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…
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…
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
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