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Understanding Fractions: Comparison, Equivalent Forms, and Measurement Conversions

This comprehensive resource covers the key concepts of fractions, including comparing fractions, finding equivalent fractions, and converting between mixed numbers and improper fractions. Students will learn how to determine fractions of figures, order fractions, and simplify them to their simplest forms. Additional focus is given to measurements in inches, feet, yards, and miles, ensuring a well-rounded understanding of both fraction mathematics and real-world applications. Engaging exercises and examples help reinforce learning.

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Understanding Fractions: Comparison, Equivalent Forms, and Measurement Conversions

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  1. Fractions and Sets Comparing Fractions Equivalent Fractions And Simplest Form Mixed Numbers And Improper Fractions Inches, Feet, Yards, Miles 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. Name the fraction of the figure that is red.

  3. What is 5/8?

  4. Name the fraction of the figure that is red.

  5. What is 2/5?

  6. Find 1/5 of 25.

  7. What is 5?

  8. Name the fraction of the shapes that are squares.

  9. 4/8 or 1/2

  10. Find 2/7 of 21.

  11. What is 6?

  12. Write <, >, or = 2 33 ____ 4

  13. 2 33 < 4

  14. Write <, >, or = 3 15 ____ 2

  15. 3 15 > 2

  16. Put the following fractions in order from least to greatest. 3, 5, 1 7 7 7

  17. 1, 3, 5 7 7 7

  18. Put the following fractions in order from greatest to least. 5, 5, 5 12 7 9

  19. 5, 5, 5 7 9 12

  20. Put the following fractions in order from least to greatest. 12137 2’ 5’ 5’ 10’ 10

  21. 13217 5’ 10’ 5’ 2’ 10

  22. Multiply or Divide to Give an Equivalent Fraction 4 8

  23. Answers may vary

  24. Multiply or Divide to Give an Equivalent Fraction 2 3

  25. Answers may vary

  26. Write the fraction in simplest form. 2 8

  27. 1 4

  28. Write the fraction in simplest form. 8 10

  29. 4 5

  30. Write the fraction in simplest form. 14 28

  31. 1 2

  32. Write 5/4 as a whole number or mixed number.

  33. 1 1 4

  34. Write 12/4 as a whole number or mixed number.

  35. 3

  36. Explain how you can tell how many fourths are in 1 ¾.

  37. You can draw a picture. OR You know that 1 has 4 4. 3 4 7 4 4 4 = +

  38. 3 5 Write 2 as an improper fraction.

  39. 13 5

  40. 2 3 Write 3 as an improper fraction.

  41. 11 3

  42. Mt. Everest is 29,028 feet tall. About how many miles tall is the mountain?

  43. About 6 miles

  44. Write <, >, or =. 28 in. ___ 1 yd.

  45. 28 in. < 1 yd.

  46. Write <, >, or =. 3 ft. ___ 1 yd.

  47. 3 ft. = 1 yd.

  48. Write <, >, or =. 4 ft. ____ 2 yd.

  49. 4 ft. < 2 yd.

  50. How many inches are in 3 feet 5 inches?

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