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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 606 · 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 5/6 + (−1/4)? (a) −7/12 (b) 2/5 (c) 7/12 (d) 13/12
  2. 2.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  3. 3.Which is bigger: −5/9 or −7/9? (a) −7/9 (b) −5/9
  4. 4.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −4/10 (c) −2/5 (d) 2/5
  5. 5.What is the additive inverse of 1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  6. 6.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  7. 7.What is (−5/6) + 3/8? (a) 11/24 (b) −1/7 (c) −11/24 (d) −29/24
  8. 8.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −10/14 (b) −7/5 (c) −5/7 (d) 5/7
  9. 9.What is the additive inverse of 2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  10. 10.What is (−1/3) − 2/5? (a) 1/15 (b) 11/15 (c) −3/8 (d) −11/15
  11. 11.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  12. 12.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  13. 13.What is (−5/8) + 8/9? (a) −109/72 (b) −19/72 (c) 3/17 (d) 19/72
  14. 14.Is 5/3 positive or negative? (a) Positive (b) Negative
  15. 15.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  16. 16.What is 1/6 − (−4/7)? (a) 31/42 (b) 5/13 (c) −17/42 (d) −31/42
  17. 17.What is 1/3 + (−1/9)? (a) 4/9 (b) 0 (c) −2/9 (d) 2/9
  18. 18.What is 1/9 + (−5/8)? (a) 37/72 (b) −4/17 (c) −37/72 (d) 53/72
  19. 19.What is (−4/9) − 1/5? (a) −11/45 (b) −29/45 (c) 29/45 (d) −5/14
  20. 20.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  21. 21.What is 3/4 − (−3/5)? (a) 3/20 (b) 2/3 (c) −27/20 (d) 27/20
  22. 22.What is the additive inverse of −1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  23. 23.What is 1/2 + (−1/2)? (a) 1 (b) 0
  24. 24.What is (−1/8) + (−2/9)? (a) −25/72 (b) 25/72 (c) 7/72 (d) −3/17
  25. 25.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  27. 27.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −1/9 (d) −9/1
  28. 28.What is 2/7 − (−7/9)? (a) 9/16 (b) 67/63 (c) −31/63 (d) −67/63
  29. 29.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −30/54 (c) −9/5 (d) −5/9
  30. 30.Write −30/54 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −30/54
  31. 31.Which is bigger: −1/6 or 8/9? (a) −1/6 (b) 8/9
  32. 32.What is (−4/9) + (−1/4)? (a) −25/36 (b) −7/36 (c) 25/36 (d) −5/13
  33. 33.What is the additive inverse of 5/9? (a) −9/5 (b) 9/5 (c) 5/9 (d) −5/9
  34. 34.What is (−1/8) + (−6/7)? (a) −7/15 (b) 55/56 (c) −55/56 (d) 41/56
  35. 35.What is the additive inverse of −5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  36. 36.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  37. 37.Which is bigger: −5/7 or −2/9? (a) −2/9 (b) −5/7
  38. 38.What is (−1/6) − 1/2? (a) −2/3 (b) 2/3 (c) 1/3 (d) −1/4
  39. 39.What is the additive inverse of 5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  40. 40.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −5/8 (c) −8/5 (d) 5/8

Answer key

  1. 7/12
  2. −8/7
  3. −5/9
  4. −2/5
  5. −1/7
  6. −3
  7. −11/24
  8. −5/7
  9. −2/5
  10. −11/15
  11. 6/5
  12. −1/8
  13. 19/72
  14. Positive
  15. 9/8
  16. 31/42
  17. 2/9
  18. −37/72
  19. −29/45
  20. 4/3
  21. 27/20
  22. 1/5
  23. 0
  24. −25/72
  25. Negative
  26. Negative
  27. −1/9
  28. 67/63
  29. −5/9
  30. −5/9
  31. 8/9
  32. −25/36
  33. −5/9
  34. −55/56
  35. 5/7
  36. Negative
  37. −2/9
  38. −2/3
  39. −5/8
  40. −5/8

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