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# Subtract Mixed Numbers

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Learn how to subtract mixed numbers. You will have to rename the first mixed number.

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### Subtract Mixed Numbers

1. 1. Subtract Mixed Numbers Mrs. Young EMC 1
2. 2. Quick Review <ul><li>Remember that when you subtract fractions you may need to rename the first mixed number. </li></ul>
3. 3. Subtract the fractions 13 - 6 3 4 1 6
4. 4. Step 1: <ul><li>Find the least common denominator (LCD) of the fractions. </li></ul>13 - 6 3 4 = = 9 12 2 12 1 6
5. 5. Our new problem is: 13 - 6 9 12 2 12
6. 6. Step 2: <ul><li>Rename using 12 as the denominator </li></ul>13 2 12 = 12 + 2 12 = 13 = 12 12 12 2 12 + 1 + + 2 12 + = 12 14 12 13 2 12
7. 7. Step 2 continued… <ul><li>Our new subtraction problem is: </li></ul>13 - 6 9 12 = = 6 9 12 12 14 12 2 12
8. 8. Step 3: <ul><li>Subtract the fractions. </li></ul>6 9 12 12 14 12 - 5 12
9. 9. Step 4: <ul><li>Subtract the whole numbers </li></ul>6 9 12 12 14 12 - 5 12 6
10. 10. Step 5: <ul><li>Simplify the fraction into lowest terms. </li></ul><ul><li>In this case the fraction is in lowest terms. </li></ul>5 12 6
11. 11. Subtract the fractions 8 - 2 4 5 3 8
12. 12. Step 1: <ul><li>Find the least common denominator (LCD) of the fractions. </li></ul>8 - 2 4 5 = = 32 40 15 40 3 8
13. 13. Our new problem is: 8 - 2 32 40 15 40
14. 14. Step 2: <ul><li>Rename using 40 as the denominator </li></ul>8 15 40 = 7 + 15 40 = 8 = 7 40 40 15 40 + 1 + + 15 40 + = 7 55 40 8 15 40
15. 15. Step 2 continued… <ul><li>Our new subtraction problem is: </li></ul>8 - 2 32 40 = = 2 32 40 7 55 40 15 40
16. 16. Step 3: <ul><li>Subtract the fractions </li></ul>2 32 40 7 55 40 - 23 40
17. 17. Step 4: <ul><li>Subtract the whole numbers </li></ul>2 32 40 7 55 40 - 23 40 5
18. 18. Step 5: <ul><li>Simplify the fraction in lowest terms. </li></ul><ul><li>In this case the fraction is in lowest terms. </li></ul>23 40 5
19. 19. Subtract the fractions 6 - 3 2 5 1 7
20. 20. Step 1: <ul><li>Find the least common denominator (LCD) of the fractions. </li></ul>6 - 3 2 5 = = 14 35 5 35 1 7
21. 21. Our new problem is: 6 - 3 14 35 5 35
22. 22. Step 2: <ul><li>Rename using 35 as the </li></ul><ul><li>denominator </li></ul>6 5 35 = 5 + 5 35 = 6 = 5 35 35 5 35 + 1 + + 5 35 + = 5 40 35 6 5 35
23. 23. Step 2 continued… <ul><li>Our new subtraction problem is: </li></ul>6 - 3 14 35 = = 3 14 35 5 40 35 5 35
24. 24. Step 3: <ul><li>Subtract the fractions. </li></ul>3 14 35 5 40 35 - 26 35
25. 25. Step 4: <ul><li>Subtract the whole numbers. </li></ul>3 14 35 5 40 35 - 26 35 2
26. 26. Step 5: <ul><li>Simplify the fraction in lowest terms. </li></ul><ul><li>In this case the fraction is in lowest terms. </li></ul>26 35 2
27. 27. You try it! <ul><li>Subtract </li></ul>8 - 5 7 9 3 8
28. 28. Try another! <ul><li>Subtract </li></ul>9 - 5 8 9 1 5