← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 441 · 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 (−1/4) + 7/8? (a) −5/8 (b) 5/8 (c) −9/8 (d) 1/2
  2. 2.What is (−1/8) + 1/5? (a) 0 (b) 3/40 (c) −3/40 (d) −13/40
  3. 3.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  4. 4.What is (−1/4) + (−7/8)? (a) 9/8 (b) −2/3 (c) 5/8 (d) −9/8
  5. 5.What is (−1/5) − 2/3? (a) 13/15 (b) 7/15 (c) −13/15 (d) −3/8
  6. 6.Which is bigger: −5/6 or −3/4? (a) −5/6 (b) −3/4
  7. 7.Which is smaller: −7/9 or −2/7? (a) −2/7 (b) −7/9
  8. 8.What is (−3/5) + 7/8? (a) −11/40 (b) −59/40 (c) 11/40 (d) 4/13
  9. 9.Is −8/3 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−3/5) + 3/4? (a) −27/20 (b) 3/20 (c) 0 (d) −3/20
  11. 11.What is 2/9 + (−5/6)? (a) 11/18 (b) 19/18 (c) −1/5 (d) −11/18
  12. 12.What is (−5/9) + 2/3? (a) 1/9 (b) −1/9 (c) −11/9 (d) −1/4
  13. 13.What is (−1/5) + 7/8? (a) −43/40 (b) −27/40 (c) 6/13 (d) 27/40
  14. 14.What is (−3/5) + 2/5? (a) −1/10 (b) −1 (c) 1/5 (d) −1/5
  15. 15.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −1/9 (d) −9/1
  16. 16.What is (−7/9) − 1/9? (a) −8/9 (b) 8/9 (c) −4/9 (d) −2/3
  17. 17.Is −1/6 positive or negative? (a) Negative (b) Positive
  18. 18.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −24/42
  19. 19.What is the additive inverse of −3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  20. 20.What is (−1/5) − 2/9? (a) 19/45 (b) −3/14 (c) −19/45 (d) 1/45
  21. 21.Which is smaller: −1/7 or −3/7? (a) −1/7 (b) −3/7
  22. 22.What is (−4/9) + 4/5? (a) −16/45 (b) 16/45 (c) 0 (d) −56/45
  23. 23.What is (−2/7) + (−2/3)? (a) −2/5 (b) −20/21 (c) 20/21 (d) 8/21
  24. 24.Is 7/9 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−7/8) + 3/8? (a) −5/4 (b) −1/2 (c) −1/4 (d) 1/2
  26. 26.What is (−4/9) + (−1/5)? (a) −5/14 (b) −29/45 (c) −11/45 (d) 29/45
  27. 27.Which is smaller: −1/3 or −1/6? (a) −1/3 (b) −1/6
  28. 28.What is the additive inverse of −1/2? (a) 1/2 (b) 2 (c) −1/2 (d) −2
  29. 29.Which is smaller: −2/3 or −1/3? (a) −2/3 (b) −1/3
  30. 30.Which is bigger: −3/4 or −1/3? (a) −3/4 (b) −1/3
  31. 31.What is 1/8 + (−2/3)? (a) 19/24 (b) −1/11 (c) 13/24 (d) −13/24
  32. 32.What is the additive inverse of −6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  33. 33.What is (−1/9) − 2/5? (a) 13/45 (b) −3/14 (c) −23/45 (d) 23/45
  34. 34.Write −12/15 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −12/15 (d) −4/5
  35. 35.Is 4/4 positive or negative? (a) Negative (b) Positive
  36. 36.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−8/9) + 7/8? (a) −1/17 (b) 1/72 (c) −127/72 (d) −1/72
  38. 38.Is −9/9 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−5/9) + 7/9? (a) 1/9 (b) −2/9 (c) 2/9 (d) −4/3
  40. 40.What is (−4/7) + 5/7? (a) −9/7 (b) 1/14 (c) 1/7 (d) −1/7

Answer key

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

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