Add Mixed Numbers

Add Mixed Numbers Mrs. Young EMC 1

Quick Review ,[object Object],[object Object],[object Object],[object Object],3 4 1 6 The fractions have different denominators– called unlike denominators and

Quick Review Continued… ,[object Object],[object Object],2 3 10

Add Mixed Numbers ,[object Object],[object Object],2 3 10 + 3 1 10

Step 1: ,[object Object],[object Object],2 3 10 + 3 1 10

Step 2: ,[object Object],2 3 10 + 3 1 10 4 10

Step 3: ,[object Object],2 3 10 + 3 1 10 4 10 5

Step 4: ,[object Object],4 10 5 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 4: 1, 2, 4 10: 1, 2, 5, 10 GCF = 2 = ÷ ÷ 2 2 2 5 5

Step 1: 1 3 7 + 3 1 2 ,[object Object],3 7 + x 2 x 2 1 2 x 7 x 7 = 6 14 + 7 14

Step 2: ,[object Object],1 6 14 3 7 14 13 10 +

Step 3: ,[object Object],1 6 14 3 7 14 13 14 + 3

Step 4: ,[object Object],13 14 3 = ÷ ÷ 1 1 13 14 3 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 13: 1, 13 14: 1, 2, 7, 14 GCF = 1

Step 1: ,[object Object],2 3 5 + 4 6 7 3 5 + x 7 x 7 6 7 x 5 x 5 = 21 35 + 30 35

Step 4: ,[object Object],51 35 6 This time, our fraction is an improper fraction. So, we MUST turn this into a mixed number. 51 35 = 16 35 1

Step 4 continued ,[object Object],16 35 1 + 6 = 16 35 7 Make sure that you simplify the fraction! In this case, it is already reduced to lowest terms.

Step 1: ,[object Object],1 2 9 + 4 2 3 2 9 + x 3 x 3 2 3 x 9 X 9 = 6 27 + 18 27

Step 4: ,[object Object],24 27 5 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 24: 1, 2, 3, 4, 6, 8, 12, 24 27: 1, 3, 9, 27 GCF = 3 = ÷ ÷ 3 3 8 9 5

Add Mixed Numbers

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Add Mixed Numbers