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Understanding Improper Fractions and Mixed Numbers in Grade 4 Math

This educational guide focuses on converting mixed numbers and improper fractions, as per Standard 4-2.11. Students will learn the definitions of numerator and denominator, the concepts of proper and improper fractions, and how to simplify fractions using the Greatest Common Factor (GCF). Additionally, the guide covers steps involved in converting between mixed numbers and improper fractions, ensuring a clear understanding of their relationships. It supports learning through structured vocabulary and examples to enhance comprehension.

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Understanding Improper Fractions and Mixed Numbers in Grade 4 Math

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  1. FractionActionin Grade 4Converting Mixed Numbers and Improper Fractions/Simplifying Fractions Standard: 4-2.11 Represent improper fractions, mixed numbers, and decimals.

  2. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Vocabulary • Numerator • Denominator • Proper Fraction • Mixed Number • Improper Fraction • Simplify • Factors • Fractional Form of 1 Whole • Equivalent Fractions (Equal)

  3. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. The bottom number in a fraction is called the _____________. 4 8 Remember: It tells how many equal parts are in EACH model. Denominator

  4. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. The top number in a fraction is called the ____________. Numerator 6 9 Remember: It tells the number we are counting. (Usually the shaded, unshaded, or a specific color.)

  5. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. In , the numerator is less than the denominator. proper fractions 1 5 5 6 3 4

  6. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Notes are represented when a whole number and a proper fraction are together. Mixed numbers 3 6 9 Numerator Denominator Whole 8 8 10

  7. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Notes Improper fractions are represented when the numerator is larger than the denominator. 27 3 Numerator Denominator 19 2

  8. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. What is the mixed number? 3 = 3 4

  9. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. What is the improper fraction? 15 = 4

  10. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. What is the mixed number? 3 = 4 4

  11. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. What is the mixed number? 1 = 5 2

  12. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. What is the improper fraction? 19 = 4

  13. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. What is the improper fraction? 11 = 2

  14. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. How is the mixed number below related to the improper fraction? 1 5 2 = 11 2

  15. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Remember....In mixed numbers, a whole number and a proper fraction are together. What mixed numbers are represented on this number line? 0 1 2 3 0 1 2 3 4 5 6 7

  16. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 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

  17. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 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

  18. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 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

  19. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 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

  20. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 1. What is the mixed number for 34 5 • 5 4/5 • 6 4/5 • 6 3/5 • 5 4/6 ?

  21. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 2. What is the mixed number for 14 4 • 3 1/4 • 4 1/4 • 3 1/3 • 3 2/4 ?

  22. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 3. What is the mixed number for 13 2 • 5 1/3 • 4 1/2 • 6 1/2 • 6 2/2 ?

  23. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 4. What is the improper fraction for 2 3 • 11/3 • 10/2 • 8/3 • 4/3 ? 3

  24. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 5. What is the improper fraction for 3 6 • 7/6 • 13/6 • 27/6 • 4/6 ? 4

  25. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. 6. What is the improper fraction for 3 8 • 16/8 • 43/8 • 26/8 • 10/8 ? 5

  26. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 3 6 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

  27. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 4 16 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

  28. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 15 20 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

  29. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 18 30 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

  30. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 10 30 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

  31. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 5 45 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

  32. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 14 18 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

  33. Standard 4-2.11 Represent improper fractions, mixed numbers, and decimals. Steps to Simplify Fractions 1. Find the GCF (Greatest Common Factor). 18 27 2. Make a fractional form of 1 using the GCF. 3. Divide the numerator and denominator by the GCF’s fractional form of 1.

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