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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 529 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is bigger: −3/8 or 7/8? (a) 7/8 (b) −3/8
  2. 2.Which is bigger: −1/2 or −1/8? (a) −1/8 (b) −1/2
  3. 3.What is (−3/8) + 5/9? (a) 2/17 (b) 13/72 (c) −13/72 (d) −67/72
  4. 4.Write −3/24 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −3/24 (c) −1/8 (d) −8/1
  5. 5.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  6. 6.Which is smaller: −5/9 or −2/5? (a) −5/9 (b) −2/5
  7. 7.What is 1/4 + (−3/4)? (a) −1/4 (b) 1 (c) 1/2 (d) −1/2
  8. 8.What is (−4/7) + (−1/4)? (a) −5/11 (b) 23/28 (c) −23/28 (d) −9/28
  9. 9.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) 5/8 (c) −5/8 (d) −8/5
  10. 10.Which is smaller: −1/3 or 2/5? (a) 2/5 (b) −1/3
  11. 11.Which is bigger: −1/9 or 3/8? (a) 3/8 (b) −1/9
  12. 12.What is (−1/6) + 5/8? (a) −19/24 (b) −11/24 (c) 11/24 (d) 2/7
  13. 13.Is −9/(−6) positive or negative? (a) Positive (b) Negative
  14. 14.Write −8/14 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −8/14 (c) 4/7 (d) −4/7
  15. 15.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of 2/9? (a) −9/2 (b) 2/9 (c) 9/2 (d) −2/9
  17. 17.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  18. 18.Write −6/42 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −6/42
  19. 19.Which is bigger: −7/8 or −1/6? (a) −7/8 (b) −1/6
  20. 20.What is 3/8 − (−7/8)? (a) 5/4 (b) −1/2 (c) −5/4 (d) 5/8
  21. 21.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  22. 22.Which is smaller: −1/7 or −1/5? (a) −1/7 (b) −1/5
  23. 23.What is (−5/6) − 5/9? (a) −2/3 (b) −25/18 (c) −5/18 (d) 25/18
  24. 24.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  25. 25.Which is smaller: −4/5 or −5/7? (a) −4/5 (b) −5/7
  26. 26.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  27. 27.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) 8/9 (d) −48/54
  28. 28.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) 1/2 (d) −5/10
  29. 29.What is the additive inverse of 7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  30. 30.What is 1/6 + (−4/7)? (a) −3/13 (b) 17/42 (c) −17/42 (d) 31/42
  31. 31.Which is smaller: −5/6 or −2/3? (a) −5/6 (b) −2/3
  32. 32.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −18/42 (d) −3/7
  33. 33.What is (−3/4) − 1/3? (a) 13/12 (b) −13/12 (c) −5/12 (d) −4/7
  34. 34.What is (−1/5) + 7/8? (a) −43/40 (b) 27/40 (c) 6/13 (d) −27/40
  35. 35.Which is bigger: −4/9 or 1/4? (a) 1/4 (b) −4/9
  36. 36.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  37. 37.Write −18/48 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −18/48 (d) −8/3
  38. 38.What is the additive inverse of −5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  39. 39.What is 2/9 + (−3/8)? (a) −1/17 (b) 11/72 (c) −11/72 (d) 43/72
  40. 40.What is the additive inverse of 1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2

Answer key

  1. 7/8
  2. −1/8
  3. 13/72
  4. −1/8
  5. Negative
  6. −5/9
  7. −1/2
  8. −23/28
  9. −5/8
  10. −1/3
  11. 3/8
  12. 11/24
  13. Positive
  14. −4/7
  15. Negative
  16. −2/9
  17. −1/3
  18. −1/7
  19. −1/6
  20. 5/4
  21. 8/3
  22. −1/5
  23. −25/18
  24. 5/4
  25. −4/5
  26. 8/5
  27. −8/9
  28. −1/2
  29. −7/9
  30. −17/42
  31. −5/6
  32. −3/7
  33. −13/12
  34. 27/40
  35. 1/4
  36. 9/8
  37. −3/8
  38. 5/8
  39. −11/72
  40. −1/2

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