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Comparing Fractions and Their Decimal Equivalents: A Guided Approach

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This resource provides a comprehensive guide on comparing fractions by converting them into their decimal equivalents. It begins with clear examples, such as comparing 4/5 to 3/7, using their decimal forms (0.8 and approximately 0.428). The section also emphasizes using the greater-than and less-than symbols to denote relationships between fractions and their decimal equivalents. Several illustrative problems are included for practice, ensuring a thorough understanding of how to determine which fraction is larger.

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Comparing Fractions and Their Decimal Equivalents: A Guided Approach

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  1. omparing ractions Using Their Decimal Equivalents

  2. Comparing FractionsUsing Their Decimal Equivalents

  3. Comparing FractionsUsing Their Decimal Equivalents

  4. Example #1 ~ Compare these fractions. 4 ÷ 5 = 3 ÷ 7 = 0.8 0.428 Next, compare the decimals.

  5. Comparing Decimals

  6. Comparing Decimals

  7. Comparing Decimals

  8. Example #1 ~ Compare these fractions. 0.8 0.428 < < = The greater than symbol can be placed between these fractions.

  9. Which sign belongs between the two fractions? 6 ÷ 7 = 4 ÷ 9 = < 0.857 0.444

  10. Which sign belongs between the two fractions? 0.857 0.444 < < = greater than

  11. Change Each Fraction to a Decimal 0.75 0.83 Five-sixths is the greater fraction.

  12. Comparing FractionsUsing Their Decimal Equivalents Can you solve these problems?

  13. 0.428 0.444 < A

  14. 0.444 0.375 < B

  15. 0.4 0.571 < C

  16. 0.5 0.5 = D

  17. 0.6 0.666 < E

  18. 0.875 0.714 < F

  19. 0.4 0.5 < G

  20. 0.857 0.666 < H

  21. 0.666 0.666 = I

  22. 0.285 0.428 < J

  23. 0.5 0.333 < K

  24. 0.375 0.333 < L

  25. D

  26. 0.166 0.375 < M

  27. 0.444 0.5 < N

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