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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 586 · 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 (−1/2) − 8/9? (a) 7/18 (b) −9/11 (c) 25/18 (d) −25/18
  2. 2.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −18/21 (d) −7/6
  3. 3.What is 4/9 − (−3/4)? (a) 7/13 (b) −11/36 (c) 43/36 (d) −43/36
  4. 4.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.What is (−3/8) − 1/5? (a) −23/40 (b) −7/40 (c) 23/40 (d) −4/13
  6. 6.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −6/24 (c) 1/4 (d) −1/4
  7. 7.What is 1/8 − (−1/4)? (a) −1/8 (b) 3/8 (c) −3/8 (d) 1/6
  8. 8.Which is smaller: −7/8 or −1/3? (a) −1/3 (b) −7/8
  9. 9.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −6/16 (d) −8/3
  10. 10.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  11. 11.What is (−4/9) + (−3/8)? (a) −59/72 (b) −5/72 (c) 59/72 (d) −7/17
  12. 12.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  13. 13.Which is smaller: −1/4 or 5/9? (a) −1/4 (b) 5/9
  14. 14.Which is bigger: −2/3 or 4/9? (a) 4/9 (b) −2/3
  15. 15.What is 3/8 + (−1/9)? (a) 2/17 (b) 19/72 (c) 35/72 (d) −19/72
  16. 16.Is 6/5 positive or negative? (a) Positive (b) Negative
  17. 17.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7
  18. 18.What is (−1/2) + (−5/8)? (a) −9/8 (b) −3/5 (c) 1/8 (d) 9/8
  19. 19.What is 3/8 + (−1/3)? (a) 17/24 (b) 2/11 (c) −1/24 (d) 1/24
  20. 20.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−1/3) + (−1/2)? (a) 1/6 (b) −2/5 (c) −5/6 (d) 5/6
  22. 22.Which is smaller: −1/6 or 2/3? (a) −1/6 (b) 2/3
  23. 23.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −4/6 (d) −3/2
  24. 24.What is the additive inverse of 5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  25. 25.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −7/2 (d) −10/35
  26. 26.What is 5/7 + (−2/7)? (a) 1 (b) 3/14 (c) 3/7 (d) −3/7
  27. 27.Which is smaller: −1/5 or −1/7? (a) −1/5 (b) −1/7
  28. 28.What is 1/2 + (−3/5)? (a) −2/7 (b) −1/10 (c) 1/10 (d) 11/10
  29. 29.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  30. 30.Which is smaller: −2/7 or −3/7? (a) −3/7 (b) −2/7
  31. 31.What is (−1/4) + 2/3? (a) 5/12 (b) −5/12 (c) −11/12 (d) 1/7
  32. 32.What is the additive inverse of −5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  33. 33.What is 1/9 + (−2/3)? (a) −5/9 (b) 5/9 (c) −1/12 (d) 7/9
  34. 34.What is (−4/9) + (−1/4)? (a) 25/36 (b) −5/13 (c) −25/36 (d) −7/36
  35. 35.Is −5/6 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −7/8 or −3/5? (a) −3/5 (b) −7/8
  37. 37.What is (−4/9) + (−1/9)? (a) −1/3 (b) −5/18 (c) −5/9 (d) 5/9
  38. 38.Which is smaller: −5/7 or −5/8? (a) −5/7 (b) −5/8
  39. 39.What is (−4/5) + (−6/7)? (a) 2/35 (b) 58/35 (c) −58/35 (d) −5/6
  40. 40.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −6/48 (b) 1/8 (c) −8/1 (d) −1/8

Answer key

  1. −25/18
  2. −6/7
  3. 43/36
  4. Positive
  5. −23/40
  6. −1/4
  7. 3/8
  8. −7/8
  9. −3/8
  10. 9/2
  11. −59/72
  12. 3/5
  13. −1/4
  14. 4/9
  15. 19/72
  16. Positive
  17. −7
  18. −9/8
  19. 1/24
  20. Positive
  21. −5/6
  22. −1/6
  23. −2/3
  24. −5/7
  25. −2/7
  26. 3/7
  27. −1/5
  28. −1/10
  29. 4
  30. −3/7
  31. 5/12
  32. 5/7
  33. −5/9
  34. −25/36
  35. Negative
  36. −3/5
  37. −5/9
  38. −5/7
  39. −58/35
  40. −1/8

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