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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 330 · 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 −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −20/28 (c) −5/7 (d) −7/5
  2. 2.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −18/42 (d) −3/7
  3. 3.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  4. 4.What is 1/8 − (−5/9)? (a) −49/72 (b) 49/72 (c) 6/17 (d) −31/72
  5. 5.What is (−7/8) + 3/5? (a) 11/40 (b) −4/13 (c) −11/40 (d) −59/40
  6. 6.Which is bigger: −3/5 or −5/9? (a) −5/9 (b) −3/5
  7. 7.What is (−2/3) + (−6/7)? (a) 4/21 (b) 32/21 (c) −32/21 (d) −4/5
  8. 8.What is (−1/2) + 3/4? (a) 1/4 (b) −1/4 (c) 1/3 (d) −5/4
  9. 9.Which is bigger: −1/4 or −2/3? (a) −2/3 (b) −1/4
  10. 10.Which is bigger: −2/5 or −3/7? (a) −2/5 (b) −3/7
  11. 11.What is 7/8 − (−1/5)? (a) 8/13 (b) −43/40 (c) 43/40 (d) 27/40
  12. 12.Which is bigger: −2/3 or 2/7? (a) −2/3 (b) 2/7
  13. 13.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  14. 14.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  15. 15.What is (−3/4) + (−6/7)? (a) 45/28 (b) −9/11 (c) 3/28 (d) −45/28
  16. 16.What is 1/3 − (−7/9)? (a) 2/3 (b) −4/9 (c) −10/9 (d) 10/9
  17. 17.What is the additive inverse of 4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  18. 18.Which is smaller: −4/5 or 8/9? (a) −4/5 (b) 8/9
  19. 19.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  20. 20.Is −8/9 positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  22. 22.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  23. 23.What is 3/4 + (−2/9)? (a) 19/36 (b) 35/36 (c) −19/36 (d) 1/13
  24. 24.Is 4/8 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −8/9 or 2/3? (a) −8/9 (b) 2/3
  26. 26.What is 4/5 − (−4/9)? (a) 4/7 (b) −56/45 (c) 16/45 (d) 56/45
  27. 27.Which is bigger: −1/3 or −8/9? (a) −8/9 (b) −1/3
  28. 28.Write −24/30 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −24/30 (c) 4/5 (d) −5/4
  29. 29.What is (−2/3) + (−7/8)? (a) 37/24 (b) −37/24 (c) 5/24 (d) −9/11
  30. 30.Write −2/12 in standard form (lowest terms, positive denominator). (a) −2/12 (b) −1/6 (c) 1/6 (d) −6/1
  31. 31.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  32. 32.What is 5/6 − (−2/9)? (a) 19/18 (b) −19/18 (c) 7/15 (d) 11/18
  33. 33.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −2/6
  34. 34.What is (−3/7) − (−3/4)? (a) 0 (b) −9/28 (c) −33/28 (d) 9/28
  35. 35.Which is smaller: −3/7 or −2/5? (a) −2/5 (b) −3/7
  36. 36.Which is smaller: −3/8 or −2/7? (a) −2/7 (b) −3/8
  37. 37.Which is bigger: −4/9 or −1/4? (a) −1/4 (b) −4/9
  38. 38.Which is smaller: −1/6 or −1/8? (a) −1/8 (b) −1/6
  39. 39.Write −4/8 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −4/8 (d) 1/2
  40. 40.Which is bigger: −1/4 or 1/3? (a) −1/4 (b) 1/3

Answer key

  1. −5/7
  2. −3/7
  3. Positive
  4. 49/72
  5. −11/40
  6. −5/9
  7. −32/21
  8. 1/4
  9. −1/4
  10. −2/5
  11. 43/40
  12. 2/7
  13. −9/2
  14. −6/7
  15. −45/28
  16. 10/9
  17. −4/5
  18. −4/5
  19. Positive
  20. Negative
  21. −9/8
  22. 7/8
  23. 19/36
  24. Positive
  25. 2/3
  26. 56/45
  27. −1/3
  28. −4/5
  29. −37/24
  30. −1/6
  31. Negative
  32. 19/18
  33. −1/3
  34. 9/28
  35. −3/7
  36. −3/8
  37. −1/4
  38. −1/6
  39. −1/2
  40. 1/3

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