← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 610 · 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 (−2/3) − (−4/7)? (a) 1/5 (b) 2/21 (c) −26/21 (d) −2/21
  2. 2.What is (−1/6) − (−3/7)? (a) −25/42 (b) 2/13 (c) 11/42 (d) −11/42
  3. 3.What is the additive inverse of 1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  4. 4.What is (−7/9) + 3/8? (a) −29/72 (b) −83/72 (c) −4/17 (d) 29/72
  5. 5.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 7/3 (c) 3/7 (d) −3/7
  6. 6.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  7. 7.What is (−3/7) − 7/8? (a) −2/3 (b) 73/56 (c) −73/56 (d) 25/56
  8. 8.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  9. 9.What is (−4/9) − 1/4? (a) −7/36 (b) 25/36 (c) −25/36 (d) −5/13
  10. 10.Which is smaller: −6/7 or 5/8? (a) −6/7 (b) 5/8
  11. 11.What is 8/9 + (−1/2)? (a) 7/18 (b) −7/18 (c) 25/18 (d) 7/11
  12. 12.What is the additive inverse of 1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  13. 13.What is (−1/5) − 1/8? (a) −2/13 (b) −3/40 (c) −13/40 (d) 13/40
  14. 14.Which is bigger: −6/7 or −3/8? (a) −6/7 (b) −3/8
  15. 15.Which is smaller: −3/8 or −5/6? (a) −3/8 (b) −5/6
  16. 16.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −14/16 (d) −7/8
  17. 17.Which is smaller: −1/8 or −1/4? (a) −1/4 (b) −1/8
  18. 18.Which is bigger: −4/7 or 1/5? (a) 1/5 (b) −4/7
  19. 19.Which is smaller: −5/7 or −1/2? (a) −1/2 (b) −5/7
  20. 20.Which is bigger: −5/8 or 7/9? (a) 7/9 (b) −5/8
  21. 21.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  22. 22.Is 9/3 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −3/7 or 1/4? (a) −3/7 (b) 1/4
  24. 24.Is −3/8 positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  26. 26.Is 7/4 positive or negative? (a) Positive (b) Negative
  27. 27.What is (−3/4) + (−1/3)? (a) 13/12 (b) −5/12 (c) −13/12 (d) −4/7
  28. 28.Write −2/18 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −2/18 (c) 1/9 (d) −1/9
  29. 29.Which is bigger: −7/8 or −2/3? (a) −2/3 (b) −7/8
  30. 30.What is 1/6 + (−1/8)? (a) 1/24 (b) 0 (c) 7/24 (d) −1/24
  31. 31.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  32. 32.Which is bigger: −1/5 or −5/9? (a) −5/9 (b) −1/5
  33. 33.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −18/24 (c) 3/4 (d) −4/3
  34. 34.What is (−2/7) − 2/3? (a) −20/21 (b) 8/21 (c) 20/21 (d) −2/5
  35. 35.What is the additive inverse of 2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  36. 36.What is 5/7 + (−3/4)? (a) 41/28 (b) 2/11 (c) 1/28 (d) −1/28
  37. 37.Which is smaller: −1/5 or 1/2? (a) −1/5 (b) 1/2
  38. 38.Write −18/24 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −18/24 (c) 3/4 (d) −3/4
  39. 39.What is (−2/3) + 3/5? (a) −19/15 (b) 1/15 (c) −1/15 (d) 1/8
  40. 40.Is 4/4 positive or negative? (a) Positive (b) Negative

Answer key

  1. −2/21
  2. 11/42
  3. −1/3
  4. −29/72
  5. −7/3
  6. −5/3
  7. −73/56
  8. −5/9
  9. −25/36
  10. −6/7
  11. 7/18
  12. −1/8
  13. −13/40
  14. −3/8
  15. −5/6
  16. −7/8
  17. −1/4
  18. 1/5
  19. −5/7
  20. 7/9
  21. −1/2
  22. Positive
  23. 1/4
  24. Negative
  25. −6/7
  26. Positive
  27. −13/12
  28. −1/9
  29. −2/3
  30. 1/24
  31. Positive
  32. −1/5
  33. −3/4
  34. −20/21
  35. −2/9
  36. −1/28
  37. −1/5
  38. −3/4
  39. −1/15
  40. Positive

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