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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 991 · 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: −7/9 or −5/7? (a) −5/7 (b) −7/9
  2. 2.What is (−3/5) + 1/9? (a) −22/45 (b) 22/45 (c) −1/7 (d) −32/45
  3. 3.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−2/3) − 2/9? (a) 8/9 (b) −8/9 (c) −4/9 (d) −1/3
  5. 5.Write −2/14 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −2/14 (d) 1/7
  6. 6.Which is smaller: −4/9 or −1/5? (a) −1/5 (b) −4/9
  7. 7.What is (−7/9) + 3/4? (a) −55/36 (b) −1/36 (c) 1/36 (d) −4/13
  8. 8.What is (−2/7) + (−3/7)? (a) −5/14 (b) 1/7 (c) 5/7 (d) −5/7
  9. 9.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  10. 10.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) −5/7 (c) 5/7 (d) −7/5
  11. 11.What is (−7/8) + 7/9? (a) −119/72 (b) 7/72 (c) 0 (d) −7/72
  12. 12.Which is bigger: −6/7 or −2/5? (a) −2/5 (b) −6/7
  13. 13.What is (−8/9) + (−1/4)? (a) −9/13 (b) −41/36 (c) −23/36 (d) 41/36
  14. 14.What is (−1/9) + 1/3? (a) 0 (b) −2/9 (c) −4/9 (d) 2/9
  15. 15.Which is smaller: −1/2 or −4/7? (a) −1/2 (b) −4/7
  16. 16.What is the additive inverse of −5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  17. 17.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−7/8) + 4/9? (a) 31/72 (b) −31/72 (c) −3/17 (d) −95/72
  19. 19.What is (−5/6) + 7/9? (a) 2/15 (b) −1/18 (c) 1/18 (d) −29/18
  20. 20.What is the additive inverse of 3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  21. 21.Which is bigger: −1/9 or −8/9? (a) −1/9 (b) −8/9
  22. 22.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −12/28 (d) −3/7
  23. 23.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  24. 24.Which is bigger: −1/7 or −3/8? (a) −3/8 (b) −1/7
  25. 25.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  26. 26.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  27. 27.Is 7/9 positive or negative? (a) Positive (b) Negative
  28. 28.Which is smaller: −7/8 or 5/9? (a) −7/8 (b) 5/9
  29. 29.Which is bigger: −1/4 or −6/7? (a) −6/7 (b) −1/4
  30. 30.Which is bigger: −3/5 or −3/8? (a) −3/5 (b) −3/8
  31. 31.Which is smaller: −3/8 or 1/8? (a) −3/8 (b) 1/8
  32. 32.What is 3/4 + (−2/5)? (a) 23/20 (b) 1/9 (c) −7/20 (d) 7/20
  33. 33.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −5/3 (c) −3/5 (d) 3/5
  34. 34.What is (−3/7) + 2/7? (a) −5/7 (b) −1/7 (c) −1/14 (d) 1/7
  35. 35.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−2/7) − 1/2? (a) −1/3 (b) 11/14 (c) −11/14 (d) 3/14
  37. 37.What is (−1/5) + 1/3? (a) −8/15 (b) −2/15 (c) 2/15 (d) 0
  38. 38.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −8/18 (c) −4/9 (d) 4/9
  39. 39.What is 1/6 + (−3/7)? (a) −2/13 (b) 25/42 (c) 11/42 (d) −11/42
  40. 40.What is the additive inverse of −1/7? (a) −1/7 (b) 7 (c) −7 (d) 1/7

Answer key

  1. −7/9
  2. −22/45
  3. Positive
  4. −8/9
  5. −1/7
  6. −4/9
  7. −1/36
  8. −5/7
  9. Positive
  10. −5/7
  11. −7/72
  12. −2/5
  13. −41/36
  14. 2/9
  15. −4/7
  16. 5/8
  17. Positive
  18. −31/72
  19. −1/18
  20. −3/8
  21. −1/9
  22. −3/7
  23. −3
  24. −1/7
  25. 5
  26. −1/5
  27. Positive
  28. −7/8
  29. −1/4
  30. −3/8
  31. −3/8
  32. 7/20
  33. 5/3
  34. −1/7
  35. Positive
  36. −11/14
  37. 2/15
  38. −4/9
  39. −11/42
  40. 1/7

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