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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 922 · 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: −5/7 or 4/5? (a) 4/5 (b) −5/7
  2. 2.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  3. 3.Is −7/2 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−5/7) + 8/9? (a) −11/63 (b) −101/63 (c) 11/63 (d) 3/16
  5. 5.Which is smaller: −1/6 or 4/9? (a) 4/9 (b) −1/6
  6. 6.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −30/36
  8. 8.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −3/15 (d) −1/5
  9. 9.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  10. 10.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −6/18 (c) −3/1 (d) 1/3
  11. 11.What is the additive inverse of −2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  12. 12.What is (−1/6) + (−8/9)? (a) 13/18 (b) 19/18 (c) −19/18 (d) −3/5
  13. 13.What is (−1/5) + 3/5? (a) −2/5 (b) 1/5 (c) 2/5 (d) −4/5
  14. 14.What is (−1/5) + (−5/8)? (a) 33/40 (b) −33/40 (c) −6/13 (d) 17/40
  15. 15.What is (−2/9) + 1/6? (a) 1/18 (b) −1/15 (c) −7/18 (d) −1/18
  16. 16.Which is smaller: −2/5 or −2/3? (a) −2/3 (b) −2/5
  17. 17.What is (−1/7) + (−2/5)? (a) 19/35 (b) −1/4 (c) −19/35 (d) 9/35
  18. 18.Which is bigger: −1/3 or 1/9? (a) −1/3 (b) 1/9
  19. 19.What is the additive inverse of −5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  20. 20.Write −3/27 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −3/27 (c) −1/9 (d) 1/9
  21. 21.Write −14/16 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −14/16 (c) 7/8 (d) −8/7
  22. 22.What is the additive inverse of −4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  23. 23.What is (−5/6) + (−2/5)? (a) −13/30 (b) −7/11 (c) 37/30 (d) −37/30
  24. 24.Is 1/9 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −2/9 or −1/4? (a) −2/9 (b) −1/4
  26. 26.Write −18/24 in standard form (lowest terms, positive denominator). (a) −18/24 (b) −4/3 (c) 3/4 (d) −3/4
  27. 27.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −15/35 (c) −7/3 (d) −3/7
  28. 28.Write −2/10 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −2/10 (c) −5/1 (d) 1/5
  29. 29.Which is bigger: −3/7 or −5/6? (a) −5/6 (b) −3/7
  30. 30.What is 3/8 − (−1/6)? (a) 13/24 (b) 2/7 (c) −13/24 (d) 5/24
  31. 31.What is 2/3 + (−1/6)? (a) −1/2 (b) 5/6 (c) 1/2 (d) 1/9
  32. 32.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −10/12 (d) −6/5
  33. 33.Is −8/8 positive or negative? (a) Positive (b) Negative
  34. 34.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −15/27 (d) −5/9
  35. 35.What is (−4/7) + (−2/7)? (a) −6/7 (b) 6/7 (c) −2/7 (d) −3/7
  36. 36.Is −6/8 positive or negative? (a) Negative (b) Positive
  37. 37.What is 5/7 + (−1/8)? (a) −33/56 (b) 47/56 (c) 4/15 (d) 33/56
  38. 38.What is the additive inverse of 5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  39. 39.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  40. 40.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6

Answer key

  1. 4/5
  2. −9/5
  3. Negative
  4. 11/63
  5. −1/6
  6. Positive
  7. −5/6
  8. −1/5
  9. −3/8
  10. −1/3
  11. 2/3
  12. −19/18
  13. 2/5
  14. −33/40
  15. −1/18
  16. −2/3
  17. −19/35
  18. 1/9
  19. 5/8
  20. −1/9
  21. −7/8
  22. 4/9
  23. −37/30
  24. Positive
  25. −2/9
  26. −3/4
  27. −3/7
  28. −1/5
  29. −3/7
  30. 13/24
  31. 1/2
  32. −5/6
  33. Negative
  34. −5/9
  35. −6/7
  36. Negative
  37. 33/56
  38. −5/8
  39. −5
  40. −7/6

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