Improper and Mixed Fractions

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Grade Level

• Middle School

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Subject

• Mathematics

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Length of Time

• 1 Hour

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Description

• In this lesson, students will learn how to change improper fractions to mixed fractions.

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Goals

• Students will learn:
  
  * How to change improper fractions to mixed fractions.
  
  

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Materials Needed

• * The worksheet I have included in this lesson
  
  * Pencils and erasers
  

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Procedure

• First, you will copy the worksheet so that each student will have one.
  
  Then, you will explain to the students how to change improper fractions to mixed fractions.
  
  Example: 3/2 = 1 1/2
  You divide the numerator by the denominator.
  
  You can check your answer by multiplying the denominator and the whole number. Then, you add the numerator. After that, you place that answer over the denominator = 1 x 2 and add 1 = 3/2
  
  After that, you will pass out the worksheet so that students can work on them independently.
  
  
  
  Worksheet - Changing Improper Fractions to Mixed Fractions
  
  Directions: Change the following fractions into mixed fractions.
  
  1. 27/13 =
  
  2. 36/7 =
  
  3. 22/15 =
  
  4. 93/45 =
  
  5. 35/14 =
  
  6. 27/2 =
  
  7. 18/5 =
  
  8. 29/4 =
  
  9. 36/5 =
  
  10. 31/3 =
  
  11. 10/6 =
  
  12. 15/8 =
  
  13. 13/3 =
  
  14. 23/4 =
  
  15. 76/5 =
  
  16. 13/9 =
  
  17. 76/3 =
  
  18. 58/3 =
  
  19. 10/3 =
  
  20. 28/5 =
  
  
  
  
  Answer Sheet
  
  1. 27/13 = 2 1/13
  
  2. 36/7 = 5 1/7
  
  3. 22/15 = 1 7/15
  
  4. 93/45 = 2 3/45 = 2 1/15
  
  5. 35/14 = 2 7/14 = 2 1/2
  
  6. 27/2 = 13 1/2
  
  7. 18/5 = 3 3/5
  
  8. 29/4 = 7 1/4
  
  9. 36/5 = 7 1/5
  
  10. 31/3 = 10 1/3
  
  11. 10/6 = 1 4/6 = 1 2/3
  
  12. 15/8 = 1 7/8
  
  13. 13/3 = 4 1/3
  
  14. 23/4 = 5 3/4
  
  15. 76/5 = 15 1/5
  
  16. 13/9 = 1 4/9
  
  17. 76/3 = 25 1/3
  
  18. 58/3 = 19 1/3
  
  19. 10/3 = 3 1/3
  
  20. 28/5 = 5 3/5
  
  

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Grading

• Each problem is worth five points.
  
  100 to 90 = A
  
  89 to 80 = B
  
  79 to 70 = C
  
  69 to 60 = D
  
  Below 60 = F
  
  
  

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