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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 742 · 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 (−7/9) + (−5/9)? (a) −2/9 (b) −4/3 (c) 4/3 (d) −2/3
  2. 2.What is the additive inverse of −4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4
  3. 3.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  4. 4.What is (−5/9) − 1/3? (a) −2/9 (b) −8/9 (c) 8/9 (d) −1/2
  5. 5.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −2/4 (d) −1/2
  6. 6.What is (−3/7) + 3/8? (a) −3/56 (b) −45/56 (c) 0 (d) 3/56
  7. 7.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  8. 8.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  9. 9.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −5/6 (d) −6/5
  10. 10.Which is bigger: −3/5 or −1/6? (a) −1/6 (b) −3/5
  11. 11.Which is bigger: −7/9 or −4/5? (a) −7/9 (b) −4/5
  12. 12.What is the additive inverse of 3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  13. 13.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −15/24 (d) 5/8
  14. 14.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −8/7 (d) −14/16
  15. 15.Which is bigger: −4/5 or −3/5? (a) −3/5 (b) −4/5
  16. 16.Is 4/8 positive or negative? (a) Negative (b) Positive
  17. 17.Which is bigger: −1/6 or 1/5? (a) 1/5 (b) −1/6
  18. 18.Which is bigger: −3/5 or 5/7? (a) −3/5 (b) 5/7
  19. 19.What is (−2/9) − 5/6? (a) 11/18 (b) −7/15 (c) −19/18 (d) 19/18
  20. 20.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  21. 21.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  22. 22.What is the additive inverse of −1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  23. 23.Which is smaller: −5/7 or −7/8? (a) −5/7 (b) −7/8
  24. 24.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  25. 25.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −2/16
  26. 26.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  27. 27.Which is bigger: −7/8 or −4/9? (a) −7/8 (b) −4/9
  28. 28.What is (−1/2) − (−3/4)? (a) −5/4 (b) 1/4 (c) 1/3 (d) −1/4
  29. 29.Is 6/3 positive or negative? (a) Negative (b) Positive
  30. 30.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −5/30 (c) −1/6 (d) −6/1
  31. 31.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  32. 32.Is −2/8 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/7) + 3/8? (a) −61/56 (b) −2/15 (c) 19/56 (d) −19/56
  34. 34.Which is bigger: −3/4 or −1/7? (a) −3/4 (b) −1/7
  35. 35.Which is bigger: −4/7 or −5/9? (a) −5/9 (b) −4/7
  36. 36.What is 1/2 + (−1/7)? (a) 9/14 (b) −5/14 (c) 5/14 (d) 0
  37. 37.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −4/24 (b) −6/1 (c) −1/6 (d) 1/6
  38. 38.What is (−1/8) − 6/7? (a) 55/56 (b) 41/56 (c) −55/56 (d) −7/15
  39. 39.Which is bigger: −2/5 or 3/8? (a) 3/8 (b) −2/5
  40. 40.Which is smaller: −1/3 or 2/3? (a) 2/3 (b) −1/3

Answer key

  1. −4/3
  2. 4/5
  3. −2
  4. −8/9
  5. −1/2
  6. −3/56
  7. Negative
  8. Negative
  9. −5/6
  10. −1/6
  11. −7/9
  12. −3/4
  13. −5/8
  14. −7/8
  15. −3/5
  16. Positive
  17. 1/5
  18. 5/7
  19. −19/18
  20. 4
  21. 3/2
  22. 1/2
  23. −7/8
  24. −4/7
  25. −1/8
  26. −5
  27. −4/9
  28. 1/4
  29. Positive
  30. −1/6
  31. 5/3
  32. Negative
  33. −19/56
  34. −1/7
  35. −5/9
  36. 5/14
  37. −1/6
  38. −55/56
  39. 3/8
  40. −1/3

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