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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 825 · 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.What is 5/9 − (−2/5)? (a) 7/45 (b) −43/45 (c) 43/45 (d) 1/2
  2. 2.What is 5/9 + (−5/6)? (a) 5/18 (b) 25/18 (c) 0 (d) −5/18
  3. 3.Which is smaller: −1/6 or −3/5? (a) −1/6 (b) −3/5
  4. 4.What is the additive inverse of −5/9? (a) −5/9 (b) −9/5 (c) 5/9 (d) 9/5
  5. 5.Which is smaller: −1/5 or −8/9? (a) −8/9 (b) −1/5
  6. 6.What is (−1/5) + 2/3? (a) −13/15 (b) −7/15 (c) 7/15 (d) 1/8
  7. 7.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  8. 8.Is −5/5 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−2/3) − 1/7? (a) −3/10 (b) 17/21 (c) −11/21 (d) −17/21
  10. 10.What is (−5/9) − (−1/8)? (a) −4/17 (b) −49/72 (c) 31/72 (d) −31/72
  11. 11.Which is smaller: −2/9 or 1/8? (a) 1/8 (b) −2/9
  12. 12.What is (−8/9) + 5/6? (a) 1/18 (b) −1/18 (c) −1/5 (d) −31/18
  13. 13.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −1/9 (d) −9/1
  14. 14.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  15. 15.Which is bigger: −3/8 or 7/8? (a) 7/8 (b) −3/8
  16. 16.What is (−5/8) + (−1/2)? (a) 9/8 (b) −3/5 (c) −9/8 (d) −1/8
  17. 17.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  18. 18.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  19. 19.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −8/36 (d) 2/9
  20. 20.Which is bigger: −7/9 or −7/8? (a) −7/9 (b) −7/8
  21. 21.Is −2/7 positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −3/5 or −3/4? (a) −3/4 (b) −3/5
  23. 23.What is 3/8 + (−5/6)? (a) 11/24 (b) −11/24 (c) 29/24 (d) −1/7
  24. 24.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) 2/5 (d) −5/2
  25. 25.What is the additive inverse of −1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  26. 26.What is (−2/5) − (−2/7)? (a) −4/35 (b) −24/35 (c) 0 (d) 4/35
  27. 27.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −24/28 (b) −7/6 (c) 6/7 (d) −6/7
  28. 28.Which is smaller: −4/7 or −2/9? (a) −4/7 (b) −2/9
  29. 29.Which is smaller: −1/6 or −6/7? (a) −1/6 (b) −6/7
  30. 30.Which is bigger: −2/5 or −5/9? (a) −5/9 (b) −2/5
  31. 31.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −15/21
  32. 32.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  33. 33.Write −10/14 in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −5/7 (d) −10/14
  34. 34.What is the reciprocal (multiplicative inverse) of −5/8? (a) 5/8 (b) 8/5 (c) −5/8 (d) −8/5
  35. 35.Which is bigger: −1/8 or −3/4? (a) −1/8 (b) −3/4
  36. 36.What is (−3/7) + (−5/6)? (a) 17/42 (b) −53/42 (c) −8/13 (d) 53/42
  37. 37.What is (−1/8) + 1/5? (a) −3/40 (b) 0 (c) 3/40 (d) −13/40
  38. 38.What is (−3/7) − 2/3? (a) 23/21 (b) −1/2 (c) −23/21 (d) 5/21
  39. 39.Which is bigger: −5/7 or −3/5? (a) −3/5 (b) −5/7
  40. 40.What is the additive inverse of 2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2

Answer key

  1. 43/45
  2. −5/18
  3. −3/5
  4. 5/9
  5. −8/9
  6. 7/15
  7. −4/3
  8. Negative
  9. −17/21
  10. −31/72
  11. −2/9
  12. −1/18
  13. −1/9
  14. Negative
  15. 7/8
  16. −9/8
  17. 1/3
  18. −1/6
  19. −2/9
  20. −7/9
  21. Negative
  22. −3/5
  23. −11/24
  24. −2/5
  25. 1/6
  26. −4/35
  27. −6/7
  28. −4/7
  29. −6/7
  30. −2/5
  31. −5/7
  32. 9/7
  33. −5/7
  34. −8/5
  35. −1/8
  36. −53/42
  37. 3/40
  38. −23/21
  39. −3/5
  40. −2/9

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