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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 757 · 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 (−5/8) + 5/6? (a) 0 (b) −5/24 (c) −35/24 (d) 5/24
  2. 2.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) −4/1 (c) −1/4 (d) 1/4
  3. 3.What is (−1/4) + (−2/3)? (a) 5/12 (b) −3/7 (c) 11/12 (d) −11/12
  4. 4.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −4/10 (c) 2/5 (d) −2/5
  5. 5.Which is smaller: −2/5 or 5/9? (a) 5/9 (b) −2/5
  6. 6.What is 1/5 − (−1/8)? (a) 13/40 (b) −13/40 (c) 2/13 (d) 3/40
  7. 7.What is 2/9 − (−5/6)? (a) −19/18 (b) −11/18 (c) 7/15 (d) 19/18
  8. 8.What is (−3/8) + (−5/8)? (a) 1 (b) −1 (c) −1/2 (d) 1/4
  9. 9.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  10. 10.What is 4/5 + (−1/2)? (a) 3/10 (b) 3/7 (c) −3/10 (d) 13/10
  11. 11.Is 4/2 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−1/3) + 1/9? (a) 2/9 (b) 0 (c) −4/9 (d) −2/9
  13. 13.Which is bigger: −4/7 or 2/3? (a) −4/7 (b) 2/3
  14. 14.What is (−2/3) − 2/9? (a) 8/9 (b) −4/9 (c) −1/3 (d) −8/9
  15. 15.What is the additive inverse of −1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  16. 16.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −3/5 or −1/9? (a) −1/9 (b) −3/5
  18. 18.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) −7/2 (c) 2/7 (d) −2/7
  19. 19.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  20. 20.What is the additive inverse of −4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  21. 21.What is (−2/3) + (−8/9)? (a) −14/9 (b) 2/9 (c) 14/9 (d) −5/6
  22. 22.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −4/36 (b) 1/9 (c) −9/1 (d) −1/9
  23. 23.What is (−7/9) − (−2/9)? (a) −5/18 (b) −1 (c) −5/9 (d) 5/9
  24. 24.Is 2/2 positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of 1/2? (a) 1/2 (b) 2 (c) −2 (d) −1/2
  26. 26.What is (−1/3) − (−1/4)? (a) −1/12 (b) 0 (c) −7/12 (d) 1/12
  27. 27.Which is smaller: −1/5 or −5/7? (a) −5/7 (b) −1/5
  28. 28.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −4/16 (b) 1/4 (c) −4/1 (d) −1/4
  29. 29.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) −5/1 (c) −1/5 (d) 1/5
  30. 30.Is −2/2 positive or negative? (a) Negative (b) Positive
  31. 31.Write −20/25 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −20/25
  32. 32.Is −5/8 positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 2/5 (c) 5/2 (d) −5/2
  34. 34.Which is smaller: −3/8 or −4/7? (a) −3/8 (b) −4/7
  35. 35.What is (−1/2) + 8/9? (a) −7/18 (b) 7/11 (c) 7/18 (d) −25/18
  36. 36.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  37. 37.Which is bigger: −3/7 or 4/9? (a) 4/9 (b) −3/7
  38. 38.Is −8/(−6) positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −3/8 or −5/9? (a) −3/8 (b) −5/9
  40. 40.What is the additive inverse of −2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2

Answer key

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

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