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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 908 · 40 sums
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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 smaller: −5/9 or −3/5? (a) −3/5 (b) −5/9
  2. 2.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  3. 3.Which is bigger: −7/9 or −1/8? (a) −7/9 (b) −1/8
  4. 4.Which is smaller: −8/9 or 1/7? (a) 1/7 (b) −8/9
  5. 5.Which is bigger: −3/7 or −5/6? (a) −3/7 (b) −5/6
  6. 6.What is (−5/7) − 6/7? (a) −11/14 (b) −11/7 (c) 1/7 (d) 11/7
  7. 7.Which is bigger: −1/3 or −5/9? (a) −5/9 (b) −1/3
  8. 8.What is 7/8 − (−1/5)? (a) 8/13 (b) −43/40 (c) 43/40 (d) 27/40
  9. 9.Is −8/7 positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −1/9 or −2/3? (a) −2/3 (b) −1/9
  11. 11.What is (−4/5) + (−3/4)? (a) −31/20 (b) −7/9 (c) −1/20 (d) 31/20
  12. 12.Which is bigger: −3/8 or −2/5? (a) −3/8 (b) −2/5
  13. 13.Is −2/7 positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  15. 15.Which is smaller: −3/5 or −1/8? (a) −1/8 (b) −3/5
  16. 16.Which is bigger: −1/7 or −1/3? (a) −1/3 (b) −1/7
  17. 17.What is (−3/8) + 1/3? (a) −17/24 (b) 1/24 (c) −2/11 (d) −1/24
  18. 18.Which is smaller: −2/7 or −5/7? (a) −2/7 (b) −5/7
  19. 19.What is (−5/8) + (−1/6)? (a) −11/24 (b) −19/24 (c) −3/7 (d) 19/24
  20. 20.What is (−2/3) − (−1/4)? (a) −1/7 (b) −11/12 (c) 5/12 (d) −5/12
  21. 21.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  22. 22.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −4/9 (d) −8/18
  23. 23.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −12/21
  24. 24.Which is bigger: −6/7 or −1/4? (a) −6/7 (b) −1/4
  25. 25.What is (−7/9) − (−2/3)? (a) −13/9 (b) 1/9 (c) −1/9 (d) −5/12
  26. 26.Which is bigger: −2/7 or −7/9? (a) −2/7 (b) −7/9
  27. 27.What is (−8/9) − (−1/6)? (a) −13/18 (b) −19/18 (c) −7/15 (d) 13/18
  28. 28.What is (−2/5) − 8/9? (a) 22/45 (b) 58/45 (c) −5/7 (d) −58/45
  29. 29.What is (−5/9) + 4/9? (a) −1/9 (b) −1/18 (c) 1/9 (d) −1
  30. 30.What is (−2/9) + 5/8? (a) 3/17 (b) 29/72 (c) −61/72 (d) −29/72
  31. 31.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  32. 32.Which is bigger: −2/3 or 8/9? (a) −2/3 (b) 8/9
  33. 33.What is 2/3 − (−1/9)? (a) 1/4 (b) −7/9 (c) 5/9 (d) 7/9
  34. 34.What is the additive inverse of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  35. 35.What is (−1/6) − 1/2? (a) 2/3 (b) −1/4 (c) 1/3 (d) −2/3
  36. 36.Is 7/5 positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  38. 38.What is (−2/9) − (−2/5)? (a) −8/45 (b) 0 (c) 8/45 (d) −28/45
  39. 39.Which is smaller: −7/9 or 5/8? (a) 5/8 (b) −7/9
  40. 40.Which is bigger: −5/6 or −3/8? (a) −5/6 (b) −3/8

Answer key

  1. −3/5
  2. 2/3
  3. −1/8
  4. −8/9
  5. −3/7
  6. −11/7
  7. −1/3
  8. 43/40
  9. Negative
  10. −1/9
  11. −31/20
  12. −3/8
  13. Negative
  14. −4
  15. −3/5
  16. −1/7
  17. −1/24
  18. −5/7
  19. −19/24
  20. −5/12
  21. 2/5
  22. −4/9
  23. −4/7
  24. −1/4
  25. −1/9
  26. −2/7
  27. −13/18
  28. −58/45
  29. −1/9
  30. 29/72
  31. 8
  32. 8/9
  33. 7/9
  34. −8/9
  35. −2/3
  36. Positive
  37. −6/5
  38. 8/45
  39. −7/9
  40. −3/8

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