← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 691 · 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 2/9 + (−1/4)? (a) −1/36 (b) 1/13 (c) 17/36 (d) 1/36
  2. 2.What is (−2/5) + 3/4? (a) −7/20 (b) 7/20 (c) 1/9 (d) −23/20
  3. 3.What is (−4/9) + (−8/9)? (a) −2/3 (b) 4/9 (c) −4/3 (d) 4/3
  4. 4.What is (−1/3) − 5/9? (a) 8/9 (b) −8/9 (c) −1/2 (d) 2/9
  5. 5.What is (−1/2) + (−8/9)? (a) 7/18 (b) 25/18 (c) −9/11 (d) −25/18
  6. 6.Which is bigger: −5/9 or −1/3? (a) −1/3 (b) −5/9
  7. 7.What is (−2/9) + 7/9? (a) 5/18 (b) −5/9 (c) 5/9 (d) −1
  8. 8.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  9. 9.What is (−3/5) − (−4/5)? (a) −1/5 (b) −7/5 (c) 1/10 (d) 1/5
  10. 10.Is 2/8 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−1/9) + (−1/2)? (a) 11/18 (b) −11/18 (c) 7/18 (d) −2/11
  12. 12.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  13. 13.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  14. 14.Which is smaller: −1/8 or −1/6? (a) −1/6 (b) −1/8
  15. 15.What is (−1/3) + 3/7? (a) −2/21 (b) 1/5 (c) −16/21 (d) 2/21
  16. 16.What is (−1/2) + 1/8? (a) −3/8 (b) −5/8 (c) 0 (d) 3/8
  17. 17.Which is smaller: −1/2 or 4/5? (a) −1/2 (b) 4/5
  18. 18.What is the additive inverse of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  19. 19.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −25/30 (d) −5/6
  20. 20.What is 5/7 + (−1/3)? (a) 22/21 (b) 2/5 (c) −8/21 (d) 8/21
  21. 21.Is 7/8 positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  23. 23.What is (−5/8) − (−7/9)? (a) −11/72 (b) −101/72 (c) 11/72 (d) 2/17
  24. 24.What is (−5/6) − 4/7? (a) −9/13 (b) 59/42 (c) −11/42 (d) −59/42
  25. 25.Is −1/8 positive or negative? (a) Positive (b) Negative
  26. 26.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −18/48 (c) −8/3 (d) −3/8
  27. 27.Write −24/28 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −24/28 (c) −7/6 (d) −6/7
  28. 28.Is 9/5 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−3/7) − (−5/6)? (a) −17/42 (b) −53/42 (c) 17/42 (d) 2/13
  30. 30.What is the additive inverse of 5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  31. 31.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  32. 32.What is the additive inverse of −4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  33. 33.What is 3/8 + (−7/8)? (a) −1/2 (b) −1/4 (c) 1/2 (d) 5/4
  34. 34.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −4/3 (c) −3/4 (d) 3/4
  35. 35.What is (−1/5) − 1/9? (a) 14/45 (b) −1/7 (c) −4/45 (d) −14/45
  36. 36.What is (−5/6) − (−3/4)? (a) −19/12 (b) −1/12 (c) 1/12 (d) −1/5
  37. 37.Is −7/3 positive or negative? (a) Positive (b) Negative
  38. 38.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  39. 39.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  40. 40.What is 1/4 − (−4/9)? (a) 25/36 (b) −25/36 (c) 5/13 (d) −7/36

Answer key

  1. −1/36
  2. 7/20
  3. −4/3
  4. −8/9
  5. −25/18
  6. −1/3
  7. 5/9
  8. −9/7
  9. 1/5
  10. Positive
  11. −11/18
  12. Positive
  13. 8
  14. −1/6
  15. 2/21
  16. −3/8
  17. −1/2
  18. −2/7
  19. −5/6
  20. 8/21
  21. Positive
  22. −5
  23. 11/72
  24. −59/42
  25. Negative
  26. −3/8
  27. −6/7
  28. Positive
  29. 17/42
  30. −5/9
  31. −5/2
  32. 4/5
  33. −1/2
  34. −3/4
  35. −14/45
  36. −1/12
  37. Negative
  38. Positive
  39. 2/3
  40. 25/36

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