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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 232 · 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.Which is smaller: −1/4 or −3/4? (a) −3/4 (b) −1/4
  2. 2.What is the additive inverse of 5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  3. 3.What is (−2/9) − 3/4? (a) 35/36 (b) −5/13 (c) 19/36 (d) −35/36
  4. 4.Which is bigger: −1/4 or −4/7? (a) −4/7 (b) −1/4
  5. 5.Which is bigger: −3/7 or 5/8? (a) −3/7 (b) 5/8
  6. 6.Which is bigger: −1/9 or 2/9? (a) −1/9 (b) 2/9
  7. 7.What is (−4/9) + (−1/6)? (a) −5/18 (b) 11/18 (c) −1/3 (d) −11/18
  8. 8.Which is bigger: −5/7 or 1/5? (a) −5/7 (b) 1/5
  9. 9.Is −2/6 positive or negative? (a) Positive (b) Negative
  10. 10.Is 1/4 positive or negative? (a) Negative (b) Positive
  11. 11.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −9/4 (c) 9/4 (d) −4/9
  12. 12.Is 1/5 positive or negative? (a) Negative (b) Positive
  13. 13.Is −4/2 positive or negative? (a) Negative (b) Positive
  14. 14.What is 7/8 + (−1/4)? (a) −5/8 (b) 1/2 (c) 9/8 (d) 5/8
  15. 15.What is 3/7 + (−1/5)? (a) −8/35 (b) 22/35 (c) 8/35 (d) 1/6
  16. 16.What is 3/8 + (−1/9)? (a) −19/72 (b) 19/72 (c) 2/17 (d) 35/72
  17. 17.Is 8/6 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  19. 19.What is (−3/8) + 3/4? (a) −9/8 (b) −3/8 (c) 0 (d) 3/8
  20. 20.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  21. 21.Is 3/3 positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −3/4 or 1/2? (a) −3/4 (b) 1/2
  23. 23.What is (−2/5) − (−5/7)? (a) 1/4 (b) −39/35 (c) −11/35 (d) 11/35
  24. 24.Which is smaller: −3/4 or 1/8? (a) −3/4 (b) 1/8
  25. 25.What is (−3/4) − 1/4? (a) −1/2 (b) −1 (c) 1
  26. 26.What is the additive inverse of −3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  27. 27.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  28. 28.What is (−5/9) − 3/8? (a) −13/72 (b) 67/72 (c) −8/17 (d) −67/72
  29. 29.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  30. 30.What is (−2/9) + (−1/9)? (a) −1/9 (b) 1/3 (c) −1/6 (d) −1/3
  31. 31.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −5/15 (b) −3/1 (c) −1/3 (d) 1/3
  32. 32.Is 8/9 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −3/8 or 3/4? (a) −3/8 (b) 3/4
  34. 34.Is −5/9 positive or negative? (a) Negative (b) Positive
  35. 35.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −9/8 (c) −8/9 (d) 8/9
  36. 36.Is 3/7 positive or negative? (a) Negative (b) Positive
  37. 37.What is the additive inverse of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  38. 38.Is 6/8 positive or negative? (a) Negative (b) Positive
  39. 39.What is the additive inverse of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  40. 40.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −6/30 (c) 1/5 (d) −5/1

Answer key

  1. −3/4
  2. −5/6
  3. −35/36
  4. −1/4
  5. 5/8
  6. 2/9
  7. −11/18
  8. 1/5
  9. Negative
  10. Positive
  11. −9/4
  12. Positive
  13. Negative
  14. 5/8
  15. 8/35
  16. 19/72
  17. Positive
  18. 5/4
  19. 3/8
  20. −1/4
  21. Positive
  22. 1/2
  23. 11/35
  24. −3/4
  25. −1
  26. 3/4
  27. −3/8
  28. −67/72
  29. 8/3
  30. −1/3
  31. −1/3
  32. Positive
  33. 3/4
  34. Negative
  35. −8/9
  36. Positive
  37. 4/7
  38. Positive
  39. −1/3
  40. −1/5

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