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Mastering Mixed Numbers and Improper Fractions

Learn to convert mixed numbers to improper fractions and vice versa. Identify positive rational numbers on a number line, and solve problems by converting between fractions, decimals, and percents. Test your knowledge with self-assessments and vocabulary review.

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Mastering Mixed Numbers and Improper Fractions

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  1. Mixed NumbersandImproperFractions 6.1.1.1 Locate positive rational numbers on a number line 6.1.1.4 Determine equivalences among fractions, decimals, and percents; select among these representations to solve problems 6.1.1.7 Convert between equivalent representation of positive rational numbers

  2. I can… • Convert Mixed Numbers to Improper Fractions • Convert Improper Fractions to Mixed Numbers Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  3. Vocabulary • Proper Fraction • Mixed Number • Improper Fraction

  4. In , the numerator is less than the denominator. proper fractions 1 5 5 6 3 4

  5. Notes are represented when a whole number and a proper fraction are together. Mixed numbers 3 6 9 Numerator Denominator Whole 8 8 10

  6. Notes Improper fractions are represented when the numerator is larger than the denominator. 27 3 Numerator Denominator 19 2

  7. What is the mixed number? 3 = 3 4

  8. What is the improper fraction? 15 = 4

  9. What is the mixed number? 3 = 4 4

  10. What is the mixed number? 1 = 5 2

  11. What is the improper fraction? 19 = 4

  12. What is the improper fraction? 11 = 2

  13. How is the mixed number below related to the improper fraction? 1 5 2 = 11 2

  14. Remember....In mixed numbers, a whole number and a proper fraction are together. What mixed numbers and improper fractions are represented on this number line? 0 1 2 3 0 1 2 3 4 5 6 7

  15. Change this mixed number to an improper fraction 3 24 + • Multiply the whole number times the denominator. • Add your answer to the numerator. • Put your new number over the denominator. 3 = x 7 7

  16. Change this mixed number to an improper fraction. 1 33 + • Multiply the whole number times the denominator. • Add your answer to the numerator. • Put your new number over the denominator. 4 = x 8 8

  17. Change this improper fraction to a mixed number. 2 r 2 8 = ) 3 8 3 6 2 • Divide the numerator by the denominator. • Put the remainder over the denominator. 2 2 = 3

  18. Change this improper fraction to a mixed number. 5 r 2 47 = ) 9 47 9 45 2 • Divide the numerator by the denominator. • Put the remainder over the denominator. 2 5 = 9

  19. 34 5 1. What is the mixed number for ? • 5 4/5 • 6 4/5 • 6 3/5 • 5 4/6

  20. 14 4 2. What is the mixed number for ? • 3 1/4 • 4 1/4 • 3 1/3 • 3 2/4

  21. 3. What is the improper fraction for 2 3 • 11/3 • 10/2 • 8/3 • 4/3 ? 3

  22. 4. What is the improper fraction for 3 6 • 7/6 • 13/6 • 27/6 • 4/6 ? 4

  23. 6. What is the improper fraction for 3 8 • 16/8 • 43/8 • 26/8 • 10/8 ? 5

  24. I can… • Convert Mixed Numbers to Improper Fractions • Convert Improper Fractions to Mixed Numbers Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  25. Daily Check 5.6 in your math notebook

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