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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 596 · 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.What is (−2/3) − (−4/5)? (a) 1/4 (b) −22/15 (c) −2/15 (d) 2/15
  2. 2.What is (−4/7) + 7/9? (a) −85/63 (b) 3/16 (c) −13/63 (d) 13/63
  3. 3.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) 7/3 (c) −7/3 (d) −3/7
  4. 4.Which is bigger: −1/4 or −3/7? (a) −3/7 (b) −1/4
  5. 5.What is (−1/7) + 4/5? (a) −33/35 (b) 1/4 (c) 23/35 (d) −23/35
  6. 6.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) 8 (c) −8 (d) 1/8
  7. 7.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  8. 8.What is the additive inverse of 1/5? (a) −1/5 (b) 1/5 (c) 5 (d) −5
  9. 9.Which is bigger: −1/9 or −2/5? (a) −2/5 (b) −1/9
  10. 10.What is (−1/6) − 4/5? (a) −5/11 (b) 29/30 (c) −29/30 (d) 19/30
  11. 11.What is the additive inverse of 3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  12. 12.What is the additive inverse of 2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  13. 13.What is (−5/9) − 1/3? (a) −2/9 (b) 8/9 (c) −1/2 (d) −8/9
  14. 14.Is 7/6 positive or negative? (a) Positive (b) Negative
  15. 15.What is 3/5 + (−1/9)? (a) 22/45 (b) 1/7 (c) −22/45 (d) 32/45
  16. 16.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  17. 17.What is (−5/9) − (−7/9)? (a) −2/9 (b) 1/9 (c) −4/3 (d) 2/9
  18. 18.Which is bigger: −8/9 or 4/7? (a) 4/7 (b) −8/9
  19. 19.Which is bigger: −5/8 or 3/4? (a) 3/4 (b) −5/8
  20. 20.What is (−3/4) + 2/5? (a) 7/20 (b) −23/20 (c) −1/9 (d) −7/20
  21. 21.Which is smaller: −1/5 or −2/5? (a) −1/5 (b) −2/5
  22. 22.Which is bigger: −6/7 or 2/7? (a) −6/7 (b) 2/7
  23. 23.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  24. 24.What is (−1/3) + 1/2? (a) 0 (b) 1/6 (c) −1/6 (d) −5/6
  25. 25.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) −2/9 (c) 2/9 (d) −9/2
  26. 26.Is 9/2 positive or negative? (a) Positive (b) Negative
  27. 27.What is 4/9 + (−2/7)? (a) 1/8 (b) 10/63 (c) −10/63 (d) 46/63
  28. 28.Is 3/6 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−1/6) − 6/7? (a) −7/13 (b) −43/42 (c) 43/42 (d) 29/42
  30. 30.What is (−1/9) − 4/7? (a) −43/63 (b) 29/63 (c) −5/16 (d) 43/63
  31. 31.What is (−1/9) + 1/7? (a) −2/63 (b) −16/63 (c) 2/63 (d) 0
  32. 32.What is 6/7 + (−1/4)? (a) −17/28 (b) 17/28 (c) 5/11 (d) 31/28
  33. 33.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −12/20 (c) 3/5 (d) −3/5
  34. 34.Which is bigger: −1/6 or 1/9? (a) −1/6 (b) 1/9
  35. 35.What is 4/9 − (−3/7)? (a) 7/16 (b) 55/63 (c) 1/63 (d) −55/63
  36. 36.What is (−5/6) − 4/5? (a) 49/30 (b) −9/11 (c) −49/30 (d) −1/30
  37. 37.Which is bigger: −3/4 or −5/7? (a) −5/7 (b) −3/4
  38. 38.Which is bigger: −2/5 or 1/7? (a) 1/7 (b) −2/5
  39. 39.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  40. 40.Is 7/(−4) positive or negative? (a) Positive (b) Negative

Answer key

  1. 2/15
  2. 13/63
  3. 7/3
  4. −1/4
  5. 23/35
  6. −8
  7. −5/3
  8. −1/5
  9. −1/9
  10. −29/30
  11. −3/7
  12. −2/9
  13. −8/9
  14. Positive
  15. 22/45
  16. 2
  17. 2/9
  18. 4/7
  19. 3/4
  20. −7/20
  21. −2/5
  22. 2/7
  23. 8/7
  24. 1/6
  25. 9/2
  26. Positive
  27. 10/63
  28. Positive
  29. −43/42
  30. −43/63
  31. 2/63
  32. 17/28
  33. −3/5
  34. 1/9
  35. 55/63
  36. −49/30
  37. −5/7
  38. 1/7
  39. 5/6
  40. Negative

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