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Subtraction of Mixed Numbers with Regrouping: Step-by-Step Guide

Learn how to subtract mixed numbers with regrouping by changing to common denominators, regrouping whole numbers, and simplifying fractions. Practice exercises included.

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Subtraction of Mixed Numbers with Regrouping: Step-by-Step Guide

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  1. Subtraction Mixed Numbers Fractions 13

  2. Objective • To be able to subtract mixed numbers with regrouping.

  3. How to Subtract Fractions with Regrouping

  4. To Subtract Mixed Numbers with Regrouping. • Regroup by borrowing one from the 5. 4 1 5 8 5 3 - 8

  5. To Subtract Mixed Numbers with Regrouping. • Change the 1 to 8/8. 4 1 8 5 8 8 5 3 - 8

  6. To Subtract Mixed Numberswith Regrouping. • Add the 1/8 plus the 8/8. 4 1 8 9 + = 5 8 8 8 5 3 - 8

  7. To Subtract Mixed Numbers withRegrouping. • Subtract the fractions. 4 1 8 9 + = 5 8 8 8 5 3 - 8 4 8

  8. To Subtract Mixed Numbers with Regrouping. • Subtract the whole numbers. 4 1 8 9 + = 5 8 8 8 5 3 - 8 4 1 8

  9. 4 4 To Subtract Mixed Numbers with Regrouping. • Simplify your fraction. 4 1 8 9 + = 5 8 8 8 5 3 - 8 4 1 1 ÷ = 1 8 2

  10. Now you can do it! 2 4 7 - 6 = 7 9 9 9

  11. Subtract. 4 Regroup by borrowing 1 from the 5. 3 5 9 7 2 - 9

  12. 9 9 Subtract. 4 Change the 1 to 9/9. 3 5 9 7 2 - 9

  13. 9 9 Subtract. 4 Add 3/9 + 9/9. 3 12 5 + = 9 9 7 2 - 9

  14. Subtract. 4 Subtract 12/9 – 7/9. 3 9 12 5 + = 9 9 9 7 2 - 9 5 9

  15. Subtract. 4 Subtract 4 – 2. 3 9 12 5 + = 9 9 9 7 2 - 9 5 2 9

  16. Subtract. 5 Regroup by borrowing 1 from the 6. 1 6 5 4 1 - 5

  17. 5 5 Subtract. 5 Change the 1 to 5/5. 1 6 5 4 1 - 5

  18. Subtract. 5 Add 1/5 + 5/5. 1 5 6 6 + = 5 5 5 4 1 - 5

  19. Subtract. 5 Subtract 6/5 – 4/5. 1 5 6 6 + = 5 5 5 4 1 - 5 2 5

  20. Subtract. 5 1 5 6 6 + = Subtract 5 – 1. 5 5 5 4 1 - 5 2 Answer 4 2/5 4 5

  21. Objective • To be able to subtract mixed numbers with unlike denominators with regrouping.

  22. How to Subtract Mixed Numbers with Regrouping

  23. To Subtract Mixed Numbers with Regrouping. • Find the LCD or LCM of the denominators. 1 5 8 8 3 3 - 4 8

  24. = = To Subtract Mixed Numbers with Regrouping. • Find the equivalent fractions with 8 as a denominator. 1 x 1 1 5 8 x 1 8 3 x 2 6 3 - 4 x 2 8

  25. To Subtract Mixed Numbers with Regrouping. • Regroup by borrowing one from the 5. 4 1 1 = 5 8 8 3 6 3 = - 4 8

  26. To Subtract Mixed Numbers with Regrouping. • Change the 1 to 8/8. 4 1 1 8 = 5 8 8 8 3 6 3 = - 4 8

  27. To Subtract Mixed Numbers with Regrouping. • Add the 1/8 and 8/8 together. 4 1 1 8 9 = + = 5 8 8 8 8 3 6 3 = - 4 8

  28. To Subtract Mixed Numbers with Regrouping. 4 • Subtract the fractions. 1 1 8 9 = + = 5 8 8 8 8 3 6 3 = - 4 8 3 8

  29. To Subtract Mixed Numbers with Regrouping. 4 • Subtract the whole numbers. 1 1 8 9 = + = 5 8 8 8 8 3 6 3 = - 4 8 3 1 8

  30. Get your white boards out! 5 1 7 - = 4 5 9 3 9

  31. Subtract. 3 Use the short cut to find the least common denominator. 5 9 9 2 2 - 3 9

  32. 1 1 Subtract. Find the equivalent fractions with 9 as a denominator. 3 3 5 x = 9 9 2 3 6 x 2 = - 3 3 9

  33. Subtract. 4 3 1 3 Regroup by borrowing 1 from the 5. 5 x = 9 1 9 2 3 6 x 2 = - 3 3 9

  34. Subtract. 4 3 3 9 Change the 1 to a fraction with 9 as a denominator. 5 = 9 9 9 2 6 = 2 - 3 9

  35. Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 Add 3/9 + 9/9. - 3 9

  36. Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 Subtract 12/9 minus 6/9. - 3 9 6 9

  37. Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 = 2 Subtract 4 minus 2. - 3 9 6 2 9

  38. 3 3 Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 Simplify your fraction. = 2 - 3 9 6 2 ÷ 2 = 9 3

  39. Subtract. 4 3 3 9 12 5 = + = 9 9 9 9 2 6 Your answer is 2 2/3. = 2 - 3 9 6 3 2 ÷ 2 = 9 3 3

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