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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 800 · 40 sums
TalentJR

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.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −12/30
  2. 2.Write −6/16 in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −6/16
  3. 3.What is (−5/9) − 1/9? (a) 2/3 (b) −1/3 (c) −4/9 (d) −2/3
  4. 4.What is (−1/3) − 4/9? (a) 7/9 (b) −5/12 (c) −7/9 (d) 1/9
  5. 5.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −12/15 (d) −4/5
  6. 6.What is the additive inverse of 1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  7. 7.What is (−1/3) + (−1/3)? (a) 2/3 (b) 0 (c) −2/3 (d) −1/3
  8. 8.What is 5/9 + (−4/5)? (a) −11/45 (b) 11/45 (c) 61/45 (d) 1/14
  9. 9.What is 7/9 − (−1/4)? (a) −37/36 (b) 19/36 (c) 37/36 (d) 8/13
  10. 10.What is (−1/6) − (−2/3)? (a) 1/9 (b) −1/2 (c) −5/6 (d) 1/2
  11. 11.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −30/48 (d) −8/5
  12. 12.What is the additive inverse of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  13. 13.Which is bigger: −8/9 or −1/5? (a) −1/5 (b) −8/9
  14. 14.Which is smaller: −5/7 or −4/7? (a) −5/7 (b) −4/7
  15. 15.What is (−1/8) + 1/2? (a) −3/8 (b) 3/8 (c) 0 (d) −5/8
  16. 16.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−8/9) − 1/3? (a) 11/9 (b) −11/9 (c) −5/9 (d) −3/4
  18. 18.What is (−1/5) + (−3/4)? (a) 11/20 (b) −19/20 (c) −4/9 (d) 19/20
  19. 19.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −4/24 (c) −1/6 (d) 1/6
  20. 20.Write −36/42 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −36/42 (c) 6/7 (d) −7/6
  21. 21.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5
  22. 22.What is (−5/6) + 1/4? (a) 7/12 (b) −7/12 (c) −13/12 (d) −2/5
  23. 23.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −6/10 (d) −3/5
  24. 24.Which is bigger: −3/5 or 1/7? (a) −3/5 (b) 1/7
  25. 25.Which is bigger: −5/9 or −1/6? (a) −5/9 (b) −1/6
  26. 26.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  27. 27.What is 1/2 − (−1/9)? (a) 7/18 (b) −11/18 (c) 11/18 (d) 2/11
  28. 28.What is (−4/9) + 5/6? (a) −7/18 (b) 1/15 (c) 7/18 (d) −23/18
  29. 29.What is (−1/3) + 5/7? (a) 8/21 (b) 2/5 (c) −22/21 (d) −8/21
  30. 30.Which is bigger: −1/4 or −1/3? (a) −1/4 (b) −1/3
  31. 31.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −3/12 (c) 1/4 (d) −4/1
  32. 32.Which is smaller: −1/9 or −5/9? (a) −5/9 (b) −1/9
  33. 33.What is 8/9 − (−1/9)? (a) 1 (b) 7/9 (c) −1 (d) 1/2
  34. 34.What is the additive inverse of 4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  35. 35.What is (−5/8) − 2/5? (a) −9/40 (b) −41/40 (c) 41/40 (d) −7/13
  36. 36.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −2/16 (c) −1/8 (d) 1/8
  37. 37.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  38. 38.What is the additive inverse of −4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  39. 39.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  40. 40.What is 7/8 − (−7/8)? (a) 7/4 (b) 7/8 (c) −7/4 (d) 0

Answer key

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

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