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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 749 · 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 −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) −5/2 (c) −2/5 (d) 2/5
  2. 2.What is (−1/2) − 1/9? (a) −7/18 (b) −2/11 (c) −11/18 (d) 11/18
  3. 3.Which is bigger: −4/9 or 1/5? (a) 1/5 (b) −4/9
  4. 4.Write −3/12 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −3/12 (d) −1/4
  5. 5.Which is bigger: −1/4 or −3/5? (a) −1/4 (b) −3/5
  6. 6.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.Is 3/9 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−7/9) − (−1/2)? (a) 5/18 (b) −23/18 (c) −5/18 (d) −6/11
  9. 9.Is 9/3 positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −7/8 or −2/5? (a) −7/8 (b) −2/5
  11. 11.What is (−4/5) + 2/7? (a) −38/35 (b) −18/35 (c) 18/35 (d) −1/6
  12. 12.What is (−1/8) + 3/5? (a) 2/13 (b) −29/40 (c) −19/40 (d) 19/40
  13. 13.Which is smaller: −4/5 or 5/9? (a) 5/9 (b) −4/5
  14. 14.What is (−4/9) + 3/4? (a) −11/36 (b) −1/13 (c) 11/36 (d) −43/36
  15. 15.What is 1/8 + (−2/5)? (a) 11/40 (b) −1/13 (c) −11/40 (d) 21/40
  16. 16.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.Is −4/2 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−3/5) − 1/4? (a) 17/20 (b) −4/9 (c) −17/20 (d) −7/20
  19. 19.What is (−5/9) − (−1/6)? (a) −7/18 (b) 7/18 (c) −4/15 (d) −13/18
  20. 20.What is (−1/4) + 5/9? (a) −11/36 (b) −29/36 (c) 4/13 (d) 11/36
  21. 21.What is (−2/9) − (−1/5)? (a) −19/45 (b) 1/45 (c) −1/14 (d) −1/45
  22. 22.What is (−3/8) + (−3/8)? (a) −3/4 (b) 0 (c) 3/4 (d) −3/8
  23. 23.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  24. 24.Which is bigger: −1/7 or −7/8? (a) −1/7 (b) −7/8
  25. 25.What is (−8/9) + 2/5? (a) −22/45 (b) 22/45 (c) −3/7 (d) −58/45
  26. 26.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −5/7 (d) −7/5
  27. 27.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.What is (−3/4) + 1/4? (a) −1/4 (b) −1 (c) 1/2 (d) −1/2
  29. 29.Which is smaller: −4/9 or −1/4? (a) −1/4 (b) −4/9
  30. 30.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −24/27 (d) −9/8
  31. 31.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −35/40
  32. 32.Which is bigger: −6/7 or 5/8? (a) 5/8 (b) −6/7
  33. 33.Which is bigger: −1/3 or 1/8? (a) 1/8 (b) −1/3
  34. 34.What is (−1/4) − 1/2? (a) −1/3 (b) −3/4 (c) 1/4 (d) 3/4
  35. 35.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −14/16
  36. 36.Write −9/21 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −9/21
  37. 37.Is 1/5 positive or negative? (a) Positive (b) Negative
  38. 38.Is −1/3 positive or negative? (a) Negative (b) Positive
  39. 39.Write −15/24 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −15/24 (d) −5/8
  40. 40.What is 1/9 − (−5/8)? (a) −37/72 (b) 6/17 (c) −53/72 (d) 53/72

Answer key

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

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