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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 405 · 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.Which is smaller: −3/8 or −3/7? (a) −3/8 (b) −3/7
  2. 2.What is (−1/4) − 5/8? (a) 3/8 (b) 7/8 (c) −7/8 (d) −1/2
  3. 3.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −2/14
  4. 4.What is (−7/8) − (−4/5)? (a) −67/40 (b) 3/40 (c) −3/40 (d) −3/13
  5. 5.What is 1/6 − (−5/9)? (a) −13/18 (b) −7/18 (c) 2/5 (d) 13/18
  6. 6.Which is bigger: −3/7 or 8/9? (a) −3/7 (b) 8/9
  7. 7.Which is smaller: −1/2 or −1/4? (a) −1/2 (b) −1/4
  8. 8.Which is bigger: −7/8 or −5/6? (a) −5/6 (b) −7/8
  9. 9.What is the additive inverse of −2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  10. 10.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −28/32
  11. 11.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  12. 12.Is −6/(−7) positive or negative? (a) Negative (b) Positive
  13. 13.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −2/14 (d) −7/1
  14. 14.What is 2/5 − (−3/7)? (a) −1/35 (b) −29/35 (c) 29/35 (d) 5/12
  15. 15.What is 2/3 − (−4/5)? (a) 3/4 (b) −2/15 (c) 22/15 (d) −22/15
  16. 16.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  17. 17.What is (−5/7) + (−2/7)? (a) −1 (b) −1/2 (c) −3/7 (d) 1
  18. 18.What is (−3/7) − 5/6? (a) 17/42 (b) 53/42 (c) −53/42 (d) −8/13
  19. 19.What is (−1/6) + (−3/8)? (a) −13/24 (b) 13/24 (c) −2/7 (d) 5/24
  20. 20.Which is bigger: −2/7 or −4/9? (a) −4/9 (b) −2/7
  21. 21.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −1/3 (d) −3/1
  22. 22.What is (−5/9) + (−2/9)? (a) 7/9 (b) −7/9 (c) −1/3 (d) −7/18
  23. 23.What is (−5/8) − (−1/9)? (a) 37/72 (b) −53/72 (c) −4/17 (d) −37/72
  24. 24.Is 1/8 positive or negative? (a) Negative (b) Positive
  25. 25.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  26. 26.Which is smaller: −5/6 or −7/8? (a) −7/8 (b) −5/6
  27. 27.What is (−1/5) − (−1/5)? (a) 0 (b) −2/5
  28. 28.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  29. 29.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−1/9) − 1/3? (a) 2/9 (b) −1/6 (c) 4/9 (d) −4/9
  31. 31.Is 2/6 positive or negative? (a) Positive (b) Negative
  32. 32.What is 1/5 − (−4/9)? (a) −29/45 (b) −11/45 (c) 5/14 (d) 29/45
  33. 33.Which is smaller: −5/8 or 1/9? (a) −5/8 (b) 1/9
  34. 34.What is (−1/6) + (−4/5)? (a) −5/11 (b) 19/30 (c) 29/30 (d) −29/30
  35. 35.What is the additive inverse of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  36. 36.What is (−2/7) − (−1/7)? (a) −3/7 (b) −1/14 (c) −1/7 (d) 1/7
  37. 37.What is the additive inverse of −2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2
  38. 38.Which is bigger: −7/9 or 1/6? (a) 1/6 (b) −7/9
  39. 39.Write −4/6 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −4/6
  40. 40.What is 1/4 − (−1/4)? (a) −1/2 (b) 0 (c) 1/4 (d) 1/2

Answer key

  1. −3/7
  2. −7/8
  3. −1/7
  4. −3/40
  5. 13/18
  6. 8/9
  7. −1/2
  8. −5/6
  9. 2/3
  10. −7/8
  11. 7/6
  12. Positive
  13. −1/7
  14. 29/35
  15. 22/15
  16. −7
  17. −1
  18. −53/42
  19. −13/24
  20. −2/7
  21. −1/3
  22. −7/9
  23. −37/72
  24. Positive
  25. −4/7
  26. −7/8
  27. 0
  28. 1/5
  29. Positive
  30. −4/9
  31. Positive
  32. 29/45
  33. −5/8
  34. −29/30
  35. −2/3
  36. −1/7
  37. 2/5
  38. 1/6
  39. −2/3
  40. 1/2

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