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Rename Before You Subtract

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Learn how to subtract fractions by renaming 1 as an equivalent fraction.

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Rename Before You Subtract

  1. 1. Rename Before You Subtract Mrs. Young EMC 1
  2. 2. Subtract the fractions 6 - 1 4 7
  3. 3. Step 1: <ul><li>Rename 6. Use 7 for the denominator because the denominator in the problem is 7 </li></ul>6 = 5 + 7 7 6 = 5 + 1 6 = 5 7 7
  4. 4. Step 1 continued… <ul><li>Our new subtraction problem is: </li></ul>6 - 1 4 7 = = 1 4 7 5 7 7
  5. 5. Step 2: <ul><li>Subtract the fractions </li></ul>1 4 7 5 7 7 - 3 7
  6. 6. Step 3: <ul><li>Subtract the whole numbers. </li></ul>1 4 7 5 7 7 - 3 7 4
  7. 7. Step 4: <ul><li>Simplify the fraction to lowest terms, if possible. </li></ul><ul><li>In this case, the answer is in lowest terms. </li></ul>3 7 4
  8. 8. Subtract the fractions 5 - 1 5 6 1 6
  9. 9. Step 1: <ul><li>Rename Use 6 for the denominator </li></ul>5 1 6 = 4 + 1 6 5 = 5 = 4 6 6 1 6 + 1 + + 1 6 + = 4 7 6
  10. 10. Step 1 continued <ul><li>Our new subtraction problem is: </li></ul>5 - 2 5 6 = = 2 5 6 4 7 6 1 6
  11. 11. Step 2: <ul><li>Subtract the fractions </li></ul>2 5 6 4 7 6 - 2 6
  12. 12. Step 3: <ul><li>Subtract the whole numbers </li></ul>2 5 6 4 7 6 - 2 6 2
  13. 13. Step 4: <ul><li>Simplify the fraction to lowest terms, if possible. </li></ul>2 6 2 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 2: 1, 2 6: 1, 2, 2, 6 GCF = 2 = ÷ ÷ 2 2 1 3 2
  14. 14. Subtract the fractions 6 - 2 2 3 1 5
  15. 15. First things first! <ul><li>When we have unlike fractions we have to start by making like fractions (make equivalent fractions)! </li></ul>6 - 2 2 3 1 5 1 5 - x 3 x 3 2 3 x 5 x 5 = 3 15 - 10 15
  16. 16. Our new problem is: 6 - 2 10 15 3 15
  17. 17. Step 1: <ul><li>Rename using 15 as </li></ul><ul><li>the denominator </li></ul>6 3 15 = 5 + 3 15 6 = 6 = 5 15 15 3 15 + 1 + + 3 15 + = 5 18 15 3 15
  18. 18. Step 1 continued… <ul><li>Our new problem is: </li></ul>6 - 2 10 15 = = 2 10 15 5 18 15 15 3
  19. 19. Step 2: <ul><li>Subtract the fractions </li></ul>2 10 15 5 18 15 - 8 15
  20. 20. Step 3: <ul><li>Subtract the whole numbers </li></ul>2 10 15 5 18 15 - 8 15 3
  21. 21. Step 4: <ul><li>Simplify the fraction to lowest terms, if possible. </li></ul><ul><li>In this case the fraction is in lowest terms. </li></ul>8 15 3
  22. 22. Subtract the fractions 4 - 2 2 3 1 6
  23. 23. First things first! <ul><li>When we have unlike fractions we have to start by making like fractions (make equivalent fractions)! </li></ul>4 - 2 2 3 1 6 1 6 - x 1 x 1 2 3 x 2 x 2 = 1 6 - 4 6
  24. 24. Our new problem is: 4 - 2 4 6 1 6
  25. 25. Step 1: <ul><li>Rename using 6 as the denominator </li></ul>4 1 6 = 3 + 1 6 4 = 4 = 3 6 6 1 6 + 1 + + 1 6 + = 3 7 6 1 6
  26. 26. Step 1 continued… <ul><li>Our new problem is: </li></ul>4 - 2 2 3 = = 2 4 6 3 7 6 6 1
  27. 27. Step 2: <ul><li>Subtract the fractions </li></ul>2 4 6 3 7 6 - 3 6
  28. 28. Step 3: <ul><li>Subtract the whole numbers </li></ul>2 4 6 3 7 6 - 3 6 1
  29. 29. Step 4: <ul><li>Simplify the fraction to lowest terms, if possible. </li></ul>3 6 1 = ÷ ÷ 3 3 1 2 1 In order to simplify the fraction, you must find the GCF of the numerator and the denominator. Remember to list all of the factors: 1: 1, 3 6: 1, 2, 2, 6 GCF = 3
  30. 30. Your turn! <ul><li>Subtract </li></ul>8 - 2 5 6 2 6
  31. 31. Try another! <ul><li>Subtract </li></ul>4 - 3 1 5 1 8

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