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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 387 · 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.Is −4/5 positive or negative? (a) Negative (b) Positive
  2. 2.Is 3/3 positive or negative? (a) Positive (b) Negative
  3. 3.Is 3/5 positive or negative? (a) Negative (b) Positive
  4. 4.Write −3/12 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −3/12
  5. 5.Is 1/9 positive or negative? (a) Negative (b) Positive
  6. 6.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −30/48
  7. 7.Which is smaller: −4/5 or −3/4? (a) −3/4 (b) −4/5
  8. 8.What is (−4/5) + 3/4? (a) −1/20 (b) −1/9 (c) −31/20 (d) 1/20
  9. 9.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  10. 10.Which is smaller: −3/5 or 1/2? (a) 1/2 (b) −3/5
  11. 11.What is (−7/9) − 2/5? (a) −17/45 (b) −53/45 (c) 53/45 (d) −9/14
  12. 12.What is 2/3 + (−2/7)? (a) 20/21 (b) −8/21 (c) 8/21 (d) 0
  13. 13.Which is bigger: −4/5 or −4/9? (a) −4/9 (b) −4/5
  14. 14.Write −25/35 in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −25/35 (d) −5/7
  15. 15.Which is bigger: −1/8 or −1/7? (a) −1/7 (b) −1/8
  16. 16.What is (−5/6) − 3/4? (a) −19/12 (b) −1/12 (c) −4/5 (d) 19/12
  17. 17.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −24/54 (d) −4/9
  18. 18.Is −2/(−7) positive or negative? (a) Negative (b) Positive
  19. 19.What is 1/4 + (−8/9)? (a) −23/36 (b) 41/36 (c) −7/13 (d) 23/36
  20. 20.Which is smaller: −8/9 or −5/9? (a) −5/9 (b) −8/9
  21. 21.Which is bigger: −4/9 or 4/7? (a) 4/7 (b) −4/9
  22. 22.What is the additive inverse of −5/9? (a) −9/5 (b) −5/9 (c) 5/9 (d) 9/5
  23. 23.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  24. 24.What is (−1/6) + (−6/7)? (a) −7/13 (b) 29/42 (c) 43/42 (d) −43/42
  25. 25.Which is smaller: −4/7 or −4/9? (a) −4/9 (b) −4/7
  26. 26.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −18/42
  27. 27.Is −9/2 positive or negative? (a) Positive (b) Negative
  28. 28.Is 8/3 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−1/8) + 3/4? (a) 1/6 (b) 5/8 (c) −7/8 (d) −5/8
  30. 30.What is (−1/5) − (−5/6)? (a) −31/30 (b) 4/11 (c) −19/30 (d) 19/30
  31. 31.Which is bigger: −3/7 or 2/3? (a) 2/3 (b) −3/7
  32. 32.Which is smaller: −4/7 or −2/3? (a) −4/7 (b) −2/3
  33. 33.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 7/4 (c) 4/7 (d) −7/4
  34. 34.Which is smaller: −7/9 or −4/9? (a) −7/9 (b) −4/9
  35. 35.Is −9/(−7) positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  37. 37.Write −24/54 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −24/54 (d) 4/9
  38. 38.Which is bigger: −6/7 or 3/7? (a) −6/7 (b) 3/7
  39. 39.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  40. 40.What is 1/6 − (−3/8)? (a) −13/24 (b) 2/7 (c) −5/24 (d) 13/24

Answer key

  1. Negative
  2. Positive
  3. Positive
  4. −1/4
  5. Positive
  6. −5/8
  7. −4/5
  8. −1/20
  9. 1/5
  10. −3/5
  11. −53/45
  12. 8/21
  13. −4/9
  14. −5/7
  15. −1/8
  16. −19/12
  17. −4/9
  18. Positive
  19. −23/36
  20. −8/9
  21. 4/7
  22. 5/9
  23. −9
  24. −43/42
  25. −4/7
  26. −3/7
  27. Negative
  28. Positive
  29. 5/8
  30. 19/30
  31. 2/3
  32. −2/3
  33. −7/4
  34. −7/9
  35. Positive
  36. 7/9
  37. −4/9
  38. 3/7
  39. −4/3
  40. 13/24

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