Fractions – Adding Fractions

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Presentation transcript:

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 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 When denominators are the same, add your numerators, keep the same denominator… EXAMPEL # 2 : Common denominator 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 When denominators are the same, add your numerators, keep the same denominator… EXAMPEL # 2 : Common denominator When denominators are the same, add your numerators, keep the same denominator… 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

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 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 Factors of 2 2 , 4 , 6 , 8 , 10… Factors of 3 3 , 6 , 9 , 12 , 15,… Common factor = 6 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 Add the numerators, keep your denominator… Factors of 2 2 , 4 , 6 , 8 , 10… Factors of 3 3 , 6 , 9 , 12 , 15,… Common factor = 6 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 # 4 : Different denominators

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 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 Factors of 8 8 , 16 , 24 , 32… Factors of 16 16, 32 , 48… Common factor = 16 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 Factors of 8 8 , 16 , 24 , 32… Factors of 16 16, 32 , 48… Common factor = 16 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

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

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 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 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 Reduce the improper fraction to a mixed number… 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 Only two equivalent fractions needed…