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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 203 · 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: −6/7 or −5/7? (a) −5/7 (b) −6/7
  2. 2.Which is bigger: −4/7 or −1/7? (a) −4/7 (b) −1/7
  3. 3.What is (−1/9) − 4/5? (a) −5/14 (b) 31/45 (c) −41/45 (d) 41/45
  4. 4.Which is bigger: −5/8 or −3/8? (a) −3/8 (b) −5/8
  5. 5.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  6. 6.Which is smaller: −7/9 or 1/4? (a) 1/4 (b) −7/9
  7. 7.What is (−2/7) − 5/7? (a) 3/7 (b) −1 (c) −1/2 (d) 1
  8. 8.What is 1/4 − (−1/8)? (a) 1/6 (b) 1/8 (c) −3/8 (d) 3/8
  9. 9.What is (−5/6) − (−3/4)? (a) 1/12 (b) −19/12 (c) −1/5 (d) −1/12
  10. 10.Which is bigger: −2/3 or −2/5? (a) −2/3 (b) −2/5
  11. 11.What is 6/7 − (−1/2)? (a) 7/9 (b) −19/14 (c) 19/14 (d) 5/14
  12. 12.Write −6/24 in standard form (lowest terms, positive denominator). (a) −6/24 (b) −1/4 (c) 1/4 (d) −4/1
  13. 13.What is 7/8 + (−3/5)? (a) 11/40 (b) 59/40 (c) 4/13 (d) −11/40
  14. 14.What is the additive inverse of −4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  15. 15.Which is smaller: −5/8 or −7/8? (a) −5/8 (b) −7/8
  16. 16.What is (−7/8) − 1/6? (a) 25/24 (b) −25/24 (c) −17/24 (d) −4/7
  17. 17.What is (−5/9) − 5/7? (a) −80/63 (b) −5/8 (c) 80/63 (d) 10/63
  18. 18.What is (−7/8) + 4/9? (a) 31/72 (b) −95/72 (c) −3/17 (d) −31/72
  19. 19.Which is bigger: −4/5 or −3/8? (a) −3/8 (b) −4/5
  20. 20.What is 1/7 + (−1/6)? (a) 13/42 (b) 0 (c) −1/42 (d) 1/42
  21. 21.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  22. 22.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  23. 23.What is 1/3 − (−4/9)? (a) 5/12 (b) −1/9 (c) −7/9 (d) 7/9
  24. 24.Which is bigger: −2/3 or −7/9? (a) −2/3 (b) −7/9
  25. 25.What is (−2/3) + (−2/7)? (a) 20/21 (b) −2/5 (c) −8/21 (d) −20/21
  26. 26.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  27. 27.Which is smaller: −6/7 or −1/2? (a) −6/7 (b) −1/2
  28. 28.Which is smaller: −2/5 or −3/7? (a) −2/5 (b) −3/7
  29. 29.What is 4/5 − (−5/6)? (a) −49/30 (b) 9/11 (c) −1/30 (d) 49/30
  30. 30.Which is smaller: −6/7 or −1/7? (a) −1/7 (b) −6/7
  31. 31.Which is smaller: −2/5 or −1/7? (a) −1/7 (b) −2/5
  32. 32.What is (−2/5) − 1/7? (a) 19/35 (b) −9/35 (c) −1/4 (d) −19/35
  33. 33.What is (−3/4) + 1/2? (a) −5/4 (b) −1/3 (c) −1/4 (d) 1/4
  34. 34.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  35. 35.Which is smaller: −5/7 or 4/9? (a) 4/9 (b) −5/7
  36. 36.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  37. 37.Is 6/4 positive or negative? (a) Negative (b) Positive
  38. 38.What is 2/5 − (−3/4)? (a) 23/20 (b) −7/20 (c) 5/9 (d) −23/20
  39. 39.What is (−1/7) + 1/9? (a) 0 (b) −16/63 (c) 2/63 (d) −2/63
  40. 40.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −6/5 (d) −5/6

Answer key

  1. −5/7
  2. −1/7
  3. −41/45
  4. −3/8
  5. 6/5
  6. −7/9
  7. −1
  8. 3/8
  9. −1/12
  10. −2/5
  11. 19/14
  12. −1/4
  13. 11/40
  14. 4/5
  15. −7/8
  16. −25/24
  17. −80/63
  18. −31/72
  19. −3/8
  20. −1/42
  21. 5/2
  22. Positive
  23. 7/9
  24. −2/3
  25. −20/21
  26. 3
  27. −6/7
  28. −3/7
  29. 49/30
  30. −6/7
  31. −2/5
  32. −19/35
  33. −1/4
  34. −2/5
  35. −5/7
  36. −5/3
  37. Positive
  38. 23/20
  39. −2/63
  40. −5/6

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