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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 339 · 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 1/8 + (−3/5)? (a) 29/40 (b) −2/13 (c) 19/40 (d) −19/40
  2. 2.What is 1/4 + (−4/9)? (a) 7/36 (b) −7/36 (c) −3/13 (d) 25/36
  3. 3.What is the additive inverse of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  4. 4.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  5. 5.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  6. 6.What is 7/8 + (−1/3)? (a) 6/11 (b) 13/24 (c) 29/24 (d) −13/24
  7. 7.Which is smaller: −1/3 or −2/9? (a) −1/3 (b) −2/9
  8. 8.Which is bigger: −1/7 or 2/7? (a) 2/7 (b) −1/7
  9. 9.What is (−2/3) + 1/4? (a) −1/7 (b) −5/12 (c) 5/12 (d) −11/12
  10. 10.What is the additive inverse of 1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  11. 11.Which is smaller: −1/9 or −2/3? (a) −2/3 (b) −1/9
  12. 12.What is 8/9 + (−7/8)? (a) 127/72 (b) 1/72 (c) −1/72 (d) 1/17
  13. 13.What is 2/5 + (−4/9)? (a) 2/45 (b) −2/45 (c) 38/45 (d) −1/7
  14. 14.What is (−5/8) + 5/7? (a) −75/56 (b) −5/56 (c) 0 (d) 5/56
  15. 15.What is (−2/3) − 8/9? (a) −5/6 (b) −14/9 (c) 14/9 (d) 2/9
  16. 16.What is (−3/5) + 1/2? (a) −1/10 (b) −2/7 (c) −11/10 (d) 1/10
  17. 17.Which is bigger: −7/9 or −2/3? (a) −2/3 (b) −7/9
  18. 18.What is 2/3 − (−3/5)? (a) 5/8 (b) 1/15 (c) 19/15 (d) −19/15
  19. 19.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −15/20 (d) −3/4
  20. 20.What is (−3/5) + 8/9? (a) −13/45 (b) −67/45 (c) 5/14 (d) 13/45
  21. 21.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −30/54 (b) −9/5 (c) 5/9 (d) −5/9
  22. 22.What is 1/2 − (−2/3)? (a) 7/6 (b) −1/6 (c) −7/6 (d) 3/5
  23. 23.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −8/10 (d) −5/4
  24. 24.What is (−1/6) − (−1/5)? (a) 1/30 (b) −11/30 (c) −1/30 (d) 0
  25. 25.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  26. 26.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) 5/8 (d) −5/8
  27. 27.What is (−4/5) − (−1/2)? (a) 3/10 (b) −3/10 (c) −13/10 (d) −3/7
  28. 28.Which is bigger: −5/9 or −3/5? (a) −3/5 (b) −5/9
  29. 29.Is −5/8 positive or negative? (a) Negative (b) Positive
  30. 30.Which is bigger: −1/2 or −2/3? (a) −2/3 (b) −1/2
  31. 31.What is 7/8 + (−1/5)? (a) 43/40 (b) −27/40 (c) 6/13 (d) 27/40
  32. 32.Which is smaller: −3/8 or 1/7? (a) 1/7 (b) −3/8
  33. 33.What is (−1/3) − 2/7? (a) −1/21 (b) 13/21 (c) −13/21 (d) −3/10
  34. 34.Which is smaller: −1/7 or −4/7? (a) −4/7 (b) −1/7
  35. 35.What is the additive inverse of 6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  36. 36.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  37. 37.What is (−1/5) + 1/4? (a) −9/20 (b) −1/20 (c) 0 (d) 1/20
  38. 38.What is (−6/7) + 4/9? (a) −26/63 (b) −82/63 (c) −1/8 (d) 26/63
  39. 39.Is 1/3 positive or negative? (a) Positive (b) Negative
  40. 40.Is 4/6 positive or negative? (a) Negative (b) Positive

Answer key

  1. −19/40
  2. −7/36
  3. −4/7
  4. Negative
  5. −4/3
  6. 13/24
  7. −1/3
  8. 2/7
  9. −5/12
  10. −1/2
  11. −2/3
  12. 1/72
  13. −2/45
  14. 5/56
  15. −14/9
  16. −1/10
  17. −2/3
  18. 19/15
  19. −3/4
  20. 13/45
  21. −5/9
  22. 7/6
  23. −4/5
  24. 1/30
  25. 7/4
  26. −5/8
  27. −3/10
  28. −5/9
  29. Negative
  30. −1/2
  31. 27/40
  32. −3/8
  33. −13/21
  34. −4/7
  35. −6/7
  36. −7/6
  37. 1/20
  38. −26/63
  39. Positive
  40. Positive

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