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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 833 · 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 −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −6/27 (c) −2/9 (d) 2/9
  2. 2.What is (−1/3) − (−5/7)? (a) 8/21 (b) −22/21 (c) 2/5 (d) −8/21
  3. 3.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −4/24 (d) 1/6
  4. 4.What is (−7/8) + 1/5? (a) −6/13 (b) 27/40 (c) −43/40 (d) −27/40
  5. 5.Which is bigger: −1/8 or 5/9? (a) −1/8 (b) 5/9
  6. 6.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  7. 7.Which is smaller: −4/9 or −1/4? (a) −1/4 (b) −4/9
  8. 8.What is (−1/3) − 2/9? (a) −1/9 (b) 5/9 (c) −1/4 (d) −5/9
  9. 9.What is the additive inverse of −5/6? (a) −5/6 (b) 5/6 (c) −6/5 (d) 6/5
  10. 10.What is 6/7 + (−1/6)? (a) 43/42 (b) −29/42 (c) 5/13 (d) 29/42
  11. 11.What is the additive inverse of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  12. 12.Is 6/8 positive or negative? (a) Positive (b) Negative
  13. 13.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−2/7) − 7/8? (a) 65/56 (b) 33/56 (c) −65/56 (d) −3/5
  15. 15.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  16. 16.What is 3/4 − (−1/3)? (a) 5/12 (b) −13/12 (c) 4/7 (d) 13/12
  17. 17.Is −4/9 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−7/8) − 8/9? (a) 127/72 (b) 1/72 (c) −15/17 (d) −127/72
  19. 19.Write −6/12 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −6/12 (d) −1/2
  20. 20.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −5/7 (d) −7/5
  21. 21.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −9/4 (d) −16/36
  22. 22.Which is smaller: −2/7 or 3/4? (a) 3/4 (b) −2/7
  23. 23.Is 1/4 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −2/3 or −7/8? (a) −2/3 (b) −7/8
  25. 25.Write −10/15 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −10/15 (c) −2/3 (d) 2/3
  26. 26.Which is smaller: −3/7 or 1/3? (a) 1/3 (b) −3/7
  27. 27.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  28. 28.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −2/4 (d) −1/2
  29. 29.Write −6/21 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −6/21
  30. 30.Which is smaller: −4/7 or 1/5? (a) 1/5 (b) −4/7
  31. 31.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  32. 32.Which is smaller: −5/8 or 3/8? (a) 3/8 (b) −5/8
  33. 33.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  34. 34.What is 2/5 − (−1/9)? (a) −23/45 (b) 3/14 (c) 23/45 (d) 13/45
  35. 35.What is (−3/4) + 4/9? (a) −11/36 (b) 11/36 (c) −43/36 (d) 1/13
  36. 36.Which is bigger: −6/7 or 2/3? (a) 2/3 (b) −6/7
  37. 37.What is (−8/9) − 1/2? (a) 25/18 (b) −9/11 (c) −7/18 (d) −25/18
  38. 38.What is (−5/9) + (−8/9)? (a) 1/3 (b) −13/18 (c) −13/9 (d) 13/9
  39. 39.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −4/14 (d) −2/7
  40. 40.What is (−4/5) + 5/9? (a) 11/45 (b) −11/45 (c) −61/45 (d) 1/14

Answer key

  1. −2/9
  2. 8/21
  3. −1/6
  4. −27/40
  5. 5/9
  6. Negative
  7. −4/9
  8. −5/9
  9. 5/6
  10. 29/42
  11. 3/5
  12. Positive
  13. Positive
  14. −65/56
  15. 7/8
  16. 13/12
  17. Negative
  18. −127/72
  19. −1/2
  20. −5/7
  21. −4/9
  22. −2/7
  23. Positive
  24. −2/3
  25. −2/3
  26. −3/7
  27. −5/6
  28. −1/2
  29. −2/7
  30. −4/7
  31. 7/6
  32. −5/8
  33. −3/8
  34. 23/45
  35. −11/36
  36. 2/3
  37. −25/18
  38. −13/9
  39. −2/7
  40. −11/45

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