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Learn how to add mixed numbers!

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1. 1. Add Mixed Numbers Mrs. Young EMC 1
2. 2. Quick Review <ul><li>Denominator – the number at the bottom of the fraction. This number names the total number of parts that equals a whole </li></ul><ul><li>Unlike denominators </li></ul><ul><ul><li>This means that the denominators are the different </li></ul></ul><ul><ul><ul><li>Example: Look at the fractions below </li></ul></ul></ul>3 4 1 6 The fractions have different denominators– called unlike denominators and
3. 3. Quick Review Continued… <ul><li>Mixed number: a mixed number is a whole number and a fraction. </li></ul><ul><li>Example: </li></ul>2 3 10
4. 4. Add Mixed Numbers <ul><li>Remember, in order to add fractions you need to have a common denominator. </li></ul><ul><li>Add </li></ul>2 3 10 + 3 1 10
5. 5. Step 1: <ul><li>Find the least common denominator to find like fractions. </li></ul><ul><li>In this case the fractions are already like. </li></ul>2 3 10 + 3 1 10
6. 6. Step 2: <ul><li>Add the fractions </li></ul>2 3 10 + 3 1 10 4 10
7. 7. Step 3: <ul><li>Add the whole numbers </li></ul>2 3 10 + 3 1 10 4 10 5
8. 8. Step 4: <ul><li>Simplify the fraction part of the sum, if possible </li></ul>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
9. 9. Step 1: 1 3 7 + 3 1 2 <ul><li>Find the least common denominator to find like fractions. </li></ul>3 7 + x 2 x 2 1 2 x 7 x 7 = 6 14 + 7 14
10. 10. Step 2: <ul><li>Add the fractions </li></ul>1 6 14 3 7 14 13 10 +
11. 11. Step 3: <ul><li>Add the whole numbers </li></ul>1 6 14 3 7 14 13 14 + 3
12. 12. Step 4: <ul><li>Simplify the fraction part of the sum, if possible </li></ul>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
13. 13. Step 1: <ul><li>Find the least common denominator to find like fractions. </li></ul>2 3 5 + 4 6 7 3 5 + x 7 x 7 6 7 x 5 x 5 = 21 35 + 30 35
14. 14. Step 2: <ul><li>Add the fractions </li></ul>2 21 35 4 30 35 51 35 +
15. 15. Step 3: <ul><li>Add the whole numbers </li></ul>2 21 35 4 30 35 51 35 + 6
16. 16. Step 4: <ul><li>Simplify the fraction part of the sum, if possible </li></ul>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
17. 17. Step 4 continued <ul><li>Now we are left with this and we must add again! </li></ul>16 35 1 + 6 = 16 35 7 Make sure that you simplify the fraction! In this case, it is already reduced to lowest terms.
18. 18. Step 1: <ul><li>Find the least common denominator to find like fractions. </li></ul>1 2 9 + 4 2 3 2 9 + x 3 x 3 2 3 x 9 X 9 = 6 27 + 18 27
19. 19. Step 2: <ul><li>Add the fractions </li></ul>1 6 27 4 18 27 24 27 +
20. 20. Step 3: <ul><li>Add the whole numbers </li></ul>1 6 27 4 18 27 24 27 + 5
21. 21. Step 4: <ul><li>Simplify the fraction part of the sum, if possible </li></ul>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
22. 22. Your turn! 2 11 + 5 2 3 3
23. 23. Try another! 1 7 + 3 3 4 4