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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 793 · 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 the additive inverse of −1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  2. 2.Which is smaller: −6/7 or −1/9? (a) −1/9 (b) −6/7
  3. 3.What is 1/3 + (−2/9)? (a) −1/9 (b) 5/9 (c) −1/12 (d) 1/9
  4. 4.What is (−1/5) + 2/5? (a) −1/5 (b) 1/5 (c) 1/10 (d) −3/5
  5. 5.Write −8/10 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −8/10 (d) 4/5
  6. 6.Write −35/40 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −35/40
  7. 7.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  8. 8.Is 8/2 positive or negative? (a) Positive (b) Negative
  9. 9.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  10. 10.What is (−1/3) − 4/9? (a) 1/9 (b) −5/12 (c) −7/9 (d) 7/9
  11. 11.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −8/1 (d) −6/48
  12. 12.What is the additive inverse of 1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  13. 13.Write −9/12 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −9/12
  14. 14.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −15/20 (c) 3/4 (d) −3/4
  15. 15.What is (−1/3) + (−7/9)? (a) −10/9 (b) 10/9 (c) 4/9 (d) −2/3
  16. 16.Which is smaller: −5/7 or −4/7? (a) −4/7 (b) −5/7
  17. 17.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  18. 18.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −15/25 (d) 3/5
  19. 19.What is (−4/9) + (−2/9)? (a) −2/3 (b) −1/3 (c) −2/9 (d) 2/3
  20. 20.What is 2/3 + (−8/9)? (a) −2/9 (b) 14/9 (c) −1/2 (d) 2/9
  21. 21.Which is bigger: −3/5 or 5/6? (a) −3/5 (b) 5/6
  22. 22.Which is bigger: −1/7 or −2/9? (a) −1/7 (b) −2/9
  23. 23.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  24. 24.What is 2/9 − (−7/8)? (a) 9/17 (b) −47/72 (c) −79/72 (d) 79/72
  25. 25.Write −5/45 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −5/45
  26. 26.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) 5/7 (c) −5/7 (d) −7/5
  27. 27.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −32/36 (d) 8/9
  28. 28.What is 4/9 − (−2/9)? (a) 2/9 (b) −2/3 (c) 2/3 (d) 1/3
  29. 29.Which is bigger: −4/7 or 5/7? (a) −4/7 (b) 5/7
  30. 30.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −35/45 (d) −7/9
  31. 31.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −18/42
  32. 32.What is (−2/7) + (−1/6)? (a) 19/42 (b) −5/42 (c) −19/42 (d) −3/13
  33. 33.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −30/36 (d) −5/6
  34. 34.What is (−1/3) − 1/5? (a) −2/15 (b) −8/15 (c) 8/15 (d) −1/4
  35. 35.Write −48/54 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −48/54 (d) 8/9
  36. 36.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −9/12 (b) −4/3 (c) 3/4 (d) −3/4
  37. 37.What is 5/8 − (−7/9)? (a) 101/72 (b) −101/72 (c) −11/72 (d) 12/17
  38. 38.What is 1/2 − (−3/4)? (a) 2/3 (b) −5/4 (c) −1/4 (d) 5/4
  39. 39.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  40. 40.What is 2/7 − (−2/5)? (a) −24/35 (b) −4/35 (c) 24/35 (d) 1/3

Answer key

  1. 1/4
  2. −6/7
  3. 1/9
  4. 1/5
  5. −4/5
  6. −7/8
  7. 9/2
  8. Positive
  9. −7/6
  10. −7/9
  11. −1/8
  12. −1/2
  13. −3/4
  14. −3/4
  15. −10/9
  16. −5/7
  17. 7/6
  18. −3/5
  19. −2/3
  20. −2/9
  21. 5/6
  22. −1/7
  23. −3/2
  24. 79/72
  25. −1/9
  26. −5/7
  27. −8/9
  28. 2/3
  29. 5/7
  30. −7/9
  31. −3/7
  32. −19/42
  33. −5/6
  34. −8/15
  35. −8/9
  36. −3/4
  37. 101/72
  38. 5/4
  39. Positive
  40. 24/35

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