Fractions and Number Sentences
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Fractions and Number Sentences
Part 1: Equivalent Fractions
Complete each equivalent fraction. Remember to multiply or divide the numerator and denominator by the same number.
Part 2: Compare and Order Fractions
Write <, > or = in each gap. For ordering questions, write the fractions from least to greatest. Show your working where needed.
Part 3: Number Sentences and Challenges
Use a box or a letter for the unknown. Work backwards using inverse operations. Do not use a calculator.
Number sentence: 2 × □ + 9 = 23
Number sentence: 3 × □ − 4 = 20
Number sentence: □ ÷ 2 + 6 = 14
Number sentence: 5 × □ = 45
Number sentence: □ + 18 = 31
Number sentence: 4 × □ + 7 = 35
Number sentence: □ ÷ 3 = 6
Number sentence: 2 × □ − 5 = 17
Challenge Problems
Answer Key
1. 4 2. 20 3. 5 4. 2/3 and 4/6
5. 14 6. 8 7. 12 8. Yes; 6/9 simplifies to 2/3.
9. > 10. > 11. = 12. <
13. 1/2, 2/3, 3/4
14. 2/5, 5/10, 3/4
15. 3/5, 4/6, 7/8
16. 2/10, 1/3, 3/8
17. 7 18. 8 19. 16 20. 9
21. 13 22. 7 23. 18 24. 11
25. 3/4 + 1/8 = 6/8 + 1/8 = 7/8
26. 4 × □ − 6 = 30; □ = 9
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