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Understanding Fractions: Parts, Equivalents, and Basic Calculations

This resource explains the fundamental components of fractions, including numerators and denominators, and demonstrates how to identify these parts in various contexts. It also explores equivalent fractions and discusses methods for finding them by multiplying or dividing both the numerator and denominator by the same number. Engage with practical examples like determining the fraction of purple balls or slices in a pie to reinforce learning. Ideal for students seeking to master basic fraction concepts for math literacy.

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Understanding Fractions: Parts, Equivalents, and Basic Calculations

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  1. Fractions I

  2. Parts of a Fraction 3 = the number of parts 4 = the total number of parts that equal a whole

  3. Parts of a Fraction 3 = numerator 4 = denominator

  4. Which number is circled? 3 4 = denominator

  5. Which number is circled? 3 = numerator 4

  6. ¾ looks like 1/4 1/4 3 4 1/4

  7. ¾ looks like 1/4 3 1/4 4 1/4

  8. ¾ looks like 1/4 1/4 3 4 1/4

  9. What fraction of the balls are purple? 3 4

  10. What fraction of the balls are purple? 1 4

  11. What fraction of the balls are purple? 1 6

  12. What fraction of the balls are purple? 4 6

  13. What fraction of the rectangle is purple? 4 6

  14. What fraction of the rectangle is purple? 2 6

  15. What fraction of the pie is purple? 4 4

  16. What fraction of the pie is purple? 3 4

  17. What fraction of the musical instruments have strings? 2 5

  18. What fraction of the fish have stripes? 3 5

  19. What fraction of the arrowshit the bullseye? 1 3

  20. What fraction of the pins areknocked down? 3 10

  21. How many halves are in a whole? 2 1/2 1/2

  22. How many quarters are in a whole? 1/4 1/4 1/4 1/4 4

  23. How many eighths are in a whole? 1/8 1/8 1/8 1/8 8 1/8 1/8 1/8 1/8

  24. How many eighths are in a quarter? 1/8 1/8 2 1/4

  25. How many eighths are in a half? 1/8 1/8 1/8 1/8 4 1/2

  26. How many quarters are in a half? 1/4 2 1/2 1/4

  27. How many thirds are in a whole? 1/3 1/3 3 1/3

  28. How many sixths are in a whole? 1/6 1/6 6 1/6 1/6 1/6 1/6

  29. How many sixths are in a third? 1/6 2 1/6 1/3

  30. How many sixths are in a half? 1/6 3 1/6 1/2 1/6

  31. How many fifths are in a whole? 1/5 1/5 5 1/5 1/5 1/5

  32. How many tenths are in a whole? 1/10 1/10 1/10 1/10 10 1/10 1/10 1/10 1/10 1/10 1/10

  33. How many tenths are in a fifth? 1/10 1/10 2 1/5

  34. How many tenths are in a half? 1/10 1/10 5 1/10 1/2 1/10 1/10

  35. Equivalent Fractions • Name the same amount but have different numerators and denominators. 1 2 1 1 = 4 2 4 2 1 4

  36. Equivalent Fractions • Are sometimes called equal fractions: two or more fractions that name the same number. 1 2 1 1 = 4 2 4 2 1 4

  37. Equivalent Fraction Models 1 2 3 = = 2 4 6

  38. Equivalent Fraction Models 1 4 = 5 = 2 8 10

  39. Equivalent Fraction Models 1 4 = 2 8

  40. Equivalent Fraction Models 3 6 = 4 8

  41. Equivalent Fraction Models 2 4 = 3 6

  42. What are the missing numbers? 1 2 3 = = 2 4 6

  43. What are the missing numbers? 1 4 = 5 = 2 8 10

  44. What are the missing numbers? 1 4 = 2 8

  45. What are the missing numbers? 3 6 = 4 8

  46. What are the missing numbers? 2 4 = 3 6

  47. To Find Equivalent Fractions • Multiply the numerator and the denominator by the same number. 1 3 3 x = 3 3 9

  48. To Find Equivalent Fractions • Divide the numerator and the denominator by the same number. 4 4 1 ÷ = 12 4 3

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