← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 109 · 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.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  2. 2.Which is bigger: −1/7 or −6/7? (a) −1/7 (b) −6/7
  3. 3.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −48/54 (d) −8/9
  4. 4.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −30/42 (c) −7/5 (d) 5/7
  5. 5.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −12/32 (c) 3/8 (d) −8/3
  6. 6.Is 1/8 positive or negative? (a) Negative (b) Positive
  7. 7.What is the additive inverse of −2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  8. 8.What is (−3/8) − 1/5? (a) −23/40 (b) −7/40 (c) −4/13 (d) 23/40
  9. 9.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  10. 10.Is −8/3 positive or negative? (a) Negative (b) Positive
  11. 11.What is 5/7 + (−3/8)? (a) 61/56 (b) 2/15 (c) −19/56 (d) 19/56
  12. 12.What is the additive inverse of 1/9? (a) −9 (b) −1/9 (c) 1/9 (d) 9
  13. 13.Which is smaller: −5/8 or −2/5? (a) −2/5 (b) −5/8
  14. 14.Which is bigger: −4/5 or −1/2? (a) −1/2 (b) −4/5
  15. 15.What is 7/9 − (−7/9)? (a) 0 (b) 14/9 (c) 7/9 (d) −14/9
  16. 16.What is (−2/3) + (−3/8)? (a) −7/24 (b) −5/11 (c) 25/24 (d) −25/24
  17. 17.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−5/6) − 1/2? (a) −4/3 (b) −1/3 (c) 4/3 (d) −3/4
  19. 19.Which is smaller: −1/5 or −1/2? (a) −1/2 (b) −1/5
  20. 20.Which is smaller: −5/7 or −3/7? (a) −3/7 (b) −5/7
  21. 21.What is (−5/7) − (−2/9)? (a) −3/16 (b) 31/63 (c) −31/63 (d) −59/63
  22. 22.What is (−1/2) + 1/8? (a) 3/8 (b) −3/8 (c) 0 (d) −5/8
  23. 23.Write −4/18 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −4/18 (d) 2/9
  24. 24.What is (−6/7) − 1/4? (a) 31/28 (b) −31/28 (c) −7/11 (d) −17/28
  25. 25.What is (−1/8) + (−5/9)? (a) −49/72 (b) 31/72 (c) −6/17 (d) 49/72
  26. 26.Which is smaller: −1/9 or −7/9? (a) −7/9 (b) −1/9
  27. 27.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  28. 28.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −10/15 (d) −3/2
  29. 29.What is 4/9 − (−4/5)? (a) −56/45 (b) 4/7 (c) 56/45 (d) −16/45
  30. 30.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  31. 31.What is 4/9 + (−1/5)? (a) 11/45 (b) 3/14 (c) −11/45 (d) 29/45
  32. 32.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −8/14 (c) 4/7 (d) −7/4
  33. 33.What is 3/8 − (−1/5)? (a) −23/40 (b) 7/40 (c) 4/13 (d) 23/40
  34. 34.What is (−1/2) − 1/8? (a) −3/8 (b) 5/8 (c) −1/5 (d) −5/8
  35. 35.Which is smaller: −2/5 or −3/8? (a) −3/8 (b) −2/5
  36. 36.Is −1/8 positive or negative? (a) Negative (b) Positive
  37. 37.What is the additive inverse of −5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  38. 38.Which is smaller: −6/7 or −5/8? (a) −5/8 (b) −6/7
  39. 39.What is (−4/9) − (−1/2)? (a) 1/18 (b) −17/18 (c) −3/11 (d) −1/18
  40. 40.What is (−1/4) − 1/5? (a) −2/9 (b) 9/20 (c) −1/20 (d) −9/20

Answer key

  1. Negative
  2. −1/7
  3. −8/9
  4. −5/7
  5. −3/8
  6. Positive
  7. 2/9
  8. −23/40
  9. −1/8
  10. Negative
  11. 19/56
  12. −1/9
  13. −5/8
  14. −1/2
  15. 14/9
  16. −25/24
  17. Positive
  18. −4/3
  19. −1/2
  20. −5/7
  21. −31/63
  22. −3/8
  23. −2/9
  24. −31/28
  25. −49/72
  26. −7/9
  27. 8
  28. −2/3
  29. 56/45
  30. 1/4
  31. 11/45
  32. −4/7
  33. 23/40
  34. −5/8
  35. −2/5
  36. Negative
  37. 5/7
  38. −6/7
  39. 1/18
  40. −9/20

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets