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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 895 · 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: −3/4 or −1/4? (a) −1/4 (b) −3/4
  2. 2.What is (−5/6) + (−8/9)? (a) 1/18 (b) −13/15 (c) −31/18 (d) 31/18
  3. 3.Which is smaller: −5/6 or −1/6? (a) −1/6 (b) −5/6
  4. 4.What is (−1/3) − 1/3? (a) 2/3 (b) −1/3 (c) 0 (d) −2/3
  5. 5.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −6/24
  6. 6.Is 6/9 positive or negative? (a) Positive (b) Negative
  7. 7.What is the additive inverse of 5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  8. 8.What is 3/8 − (−7/8)? (a) −1/2 (b) −5/4 (c) 5/4 (d) 5/8
  9. 9.What is (−1/9) + 3/8? (a) −19/72 (b) −35/72 (c) 19/72 (d) 2/17
  10. 10.Write −25/35 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −25/35
  11. 11.Is −7/(−5) positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −3/4 or −5/9? (a) −3/4 (b) −5/9
  13. 13.Which is smaller: −5/9 or −3/7? (a) −5/9 (b) −3/7
  14. 14.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.What is 5/6 + (−4/9)? (a) −7/18 (b) 23/18 (c) 7/18 (d) 1/15
  16. 16.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.What is the additive inverse of −5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  18. 18.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  19. 19.What is (−1/2) + (−1/2)? (a) −1 (b) 1 (c) −1/2 (d) 0
  20. 20.What is (−8/9) − (−5/8)? (a) 19/72 (b) −109/72 (c) −3/17 (d) −19/72
  21. 21.Which is bigger: −5/9 or 1/3? (a) −5/9 (b) 1/3
  22. 22.Is 5/4 positive or negative? (a) Positive (b) Negative
  23. 23.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) 2/3 (c) −2/3 (d) −3/2
  24. 24.What is the additive inverse of −3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  25. 25.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  26. 26.Which is smaller: −5/6 or 1/2? (a) −5/6 (b) 1/2
  27. 27.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −18/30 (d) 3/5
  28. 28.Which is bigger: −1/9 or 1/8? (a) −1/9 (b) 1/8
  29. 29.What is (−5/6) − 4/5? (a) −9/11 (b) −1/30 (c) 49/30 (d) −49/30
  30. 30.Is −7/(−2) positive or negative? (a) Positive (b) Negative
  31. 31.Is −8/3 positive or negative? (a) Positive (b) Negative
  32. 32.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  33. 33.What is 2/3 − (−3/4)? (a) −17/12 (b) −1/12 (c) 5/7 (d) 17/12
  34. 34.Which is smaller: −3/5 or −1/5? (a) −1/5 (b) −3/5
  35. 35.Is 8/7 positive or negative? (a) Positive (b) Negative
  36. 36.Which is smaller: −1/4 or 2/7? (a) −1/4 (b) 2/7
  37. 37.Which is bigger: −5/6 or 2/5? (a) 2/5 (b) −5/6
  38. 38.What is (−1/4) + (−2/3)? (a) 11/12 (b) −3/7 (c) −11/12 (d) 5/12
  39. 39.Which is smaller: −1/4 or −1/2? (a) −1/4 (b) −1/2
  40. 40.Which is bigger: −1/7 or −2/5? (a) −1/7 (b) −2/5

Answer key

  1. −3/4
  2. −31/18
  3. −5/6
  4. −2/3
  5. −1/4
  6. Positive
  7. −5/7
  8. 5/4
  9. 19/72
  10. −5/7
  11. Positive
  12. −5/9
  13. −5/9
  14. Positive
  15. 7/18
  16. Negative
  17. 5/8
  18. −7/9
  19. −1
  20. −19/72
  21. 1/3
  22. Positive
  23. −2/3
  24. 3/7
  25. Negative
  26. −5/6
  27. −3/5
  28. 1/8
  29. −49/30
  30. Positive
  31. Negative
  32. −4/7
  33. 17/12
  34. −3/5
  35. Positive
  36. −1/4
  37. 2/5
  38. −11/12
  39. −1/2
  40. −1/7

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