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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 699 · 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.What is 5/6 + (−3/4)? (a) 1/5 (b) 19/12 (c) 1/12 (d) −1/12
  2. 2.What is (−3/4) + (−6/7)? (a) 3/28 (b) 45/28 (c) −45/28 (d) −9/11
  3. 3.What is (−2/3) + (−6/7)? (a) 4/21 (b) −32/21 (c) −4/5 (d) 32/21
  4. 4.What is (−3/7) − 4/5? (a) 43/35 (b) −43/35 (c) 13/35 (d) −7/12
  5. 5.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  6. 6.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −15/40 (c) −3/8 (d) −8/3
  7. 7.What is (−2/5) − 4/7? (a) −1/2 (b) 34/35 (c) −34/35 (d) 6/35
  8. 8.What is (−2/9) + 2/9? (a) −4/9 (b) 0
  9. 9.Which is bigger: −5/7 or 5/9? (a) −5/7 (b) 5/9
  10. 10.Write −15/20 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −15/20
  11. 11.Which is smaller: −2/5 or 4/7? (a) −2/5 (b) 4/7
  12. 12.What is 1/2 − (−4/5)? (a) −3/10 (b) −13/10 (c) 5/7 (d) 13/10
  13. 13.What is the additive inverse of 4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  14. 14.Is 7/5 positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of 8/9? (a) −8/9 (b) 8/9 (c) 9/8 (d) −9/8
  16. 16.What is the additive inverse of −4/5? (a) 4/5 (b) 5/4 (c) −4/5 (d) −5/4
  17. 17.Which is smaller: −3/5 or 5/7? (a) 5/7 (b) −3/5
  18. 18.Which is smaller: −2/9 or 6/7? (a) −2/9 (b) 6/7
  19. 19.Which is smaller: −3/7 or −7/9? (a) −3/7 (b) −7/9
  20. 20.Is 7/4 positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −1/3 or −3/5? (a) −1/3 (b) −3/5
  22. 22.What is the additive inverse of 1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  23. 23.What is (−1/3) − (−1/2)? (a) −1/6 (b) 0 (c) −5/6 (d) 1/6
  24. 24.Which is bigger: −7/9 or 1/8? (a) −7/9 (b) 1/8
  25. 25.What is (−4/9) − (−1/8)? (a) −23/72 (b) −41/72 (c) 23/72 (d) −3/17
  26. 26.What is (−3/8) + (−5/6)? (a) −29/24 (b) 29/24 (c) 11/24 (d) −4/7
  27. 27.What is (−4/7) + 1/3? (a) 5/21 (b) −3/10 (c) −5/21 (d) −19/21
  28. 28.Is 5/3 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) 2/7 (d) −2/7
  30. 30.What is (−2/3) + 4/7? (a) −26/21 (b) −2/21 (c) 2/21 (d) 1/5
  31. 31.Which is smaller: −1/2 or −7/8? (a) −7/8 (b) −1/2
  32. 32.Which is bigger: −3/4 or 5/9? (a) −3/4 (b) 5/9
  33. 33.Write −5/40 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −5/40 (d) −8/1
  34. 34.What is 3/5 + (−5/7)? (a) −1/6 (b) 4/35 (c) 46/35 (d) −4/35
  35. 35.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −9/1 (c) −1/9 (d) 1/9
  36. 36.Is 5/5 positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of 7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  38. 38.What is (−6/7) + (−1/5)? (a) −23/35 (b) −37/35 (c) −7/12 (d) 37/35
  39. 39.Which is bigger: −4/5 or 5/8? (a) 5/8 (b) −4/5
  40. 40.What is (−2/3) − 1/9? (a) −7/9 (b) 7/9 (c) −5/9 (d) −1/4

Answer key

  1. 1/12
  2. −45/28
  3. −32/21
  4. −43/35
  5. −7/8
  6. −3/8
  7. −34/35
  8. 0
  9. 5/9
  10. −3/4
  11. −2/5
  12. 13/10
  13. −4/5
  14. Positive
  15. −8/9
  16. 4/5
  17. −3/5
  18. −2/9
  19. −7/9
  20. Positive
  21. −3/5
  22. −1/7
  23. 1/6
  24. 1/8
  25. −23/72
  26. −29/24
  27. −5/21
  28. Positive
  29. −2/7
  30. −2/21
  31. −7/8
  32. 5/9
  33. −1/8
  34. −4/35
  35. −1/9
  36. Positive
  37. −7/9
  38. −37/35
  39. 5/8
  40. −7/9

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