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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 2: ,[object Object],2 21 35 4 30 35 51 35 +
Step 3: ,[object Object],2 21 35 4 30 35 51 35 +   6
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 2: ,[object Object],1 6 27 4 18 27 24 27 +
Step 3: ,[object Object],1 6 27 4 18 27 24 27 +   5
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
Your turn! 2 11 +   5 2 3 3
Try another! 1 7 +   3 3 4 4

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Add Mixed Numbers