← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 430 · 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 (−4/5) − 5/6? (a) 49/30 (b) −49/30 (c) 1/30 (d) −9/11
  2. 2.What is 1/3 + (−1/5)? (a) 8/15 (b) 2/15 (c) 0 (d) −2/15
  3. 3.What is 1/4 + (−3/4)? (a) 1/2 (b) −1/2 (c) −1/4 (d) 1
  4. 4.Is −7/2 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−4/9) − (−7/8)? (a) −95/72 (b) 3/17 (c) 31/72 (d) −31/72
  6. 6.What is 1/3 + (−4/9)? (a) −1/4 (b) 7/9 (c) 1/9 (d) −1/9
  7. 7.Which is bigger: −3/5 or −1/9? (a) −3/5 (b) −1/9
  8. 8.Which is smaller: −1/4 or −4/9? (a) −1/4 (b) −4/9
  9. 9.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  10. 10.Which is smaller: −2/3 or −1/6? (a) −1/6 (b) −2/3
  11. 11.What is (−2/3) + 1/8? (a) −13/24 (b) −1/11 (c) −19/24 (d) 13/24
  12. 12.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/8) + 2/9? (a) 1/17 (b) −7/72 (c) −25/72 (d) 7/72
  14. 14.Which is bigger: −2/7 or −4/5? (a) −4/5 (b) −2/7
  15. 15.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −10/18
  16. 16.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −12/20
  17. 17.Write −12/21 in standard form (lowest terms, positive denominator). (a) −12/21 (b) −4/7 (c) 4/7 (d) −7/4
  18. 18.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  19. 19.What is (−1/3) + 5/8? (a) −7/24 (b) −23/24 (c) 7/24 (d) 4/11
  20. 20.Is 8/7 positive or negative? (a) Negative (b) Positive
  21. 21.Is −9/4 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−5/7) − 5/7? (a) −10/7 (b) 0 (c) 10/7 (d) −5/7
  23. 23.What is (−3/4) + 1/4? (a) −1/2 (b) −1 (c) −1/4 (d) 1/2
  24. 24.Is −3/3 positive or negative? (a) Negative (b) Positive
  25. 25.Which is smaller: −3/4 or 1/9? (a) −3/4 (b) 1/9
  26. 26.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  27. 27.What is the additive inverse of −5/8? (a) 5/8 (b) −8/5 (c) −5/8 (d) 8/5
  28. 28.Write −18/24 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −18/24 (d) 3/4
  29. 29.What is the additive inverse of 1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  30. 30.What is 3/8 − (−6/7)? (a) −69/56 (b) −27/56 (c) 3/5 (d) 69/56
  31. 31.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  32. 32.What is 5/9 + (−1/7)? (a) −26/63 (b) 1/4 (c) 44/63 (d) 26/63
  33. 33.What is (−3/8) − 4/9? (a) 5/72 (b) −59/72 (c) 59/72 (d) −7/17
  34. 34.Is 3/3 positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −1/5 or 5/6? (a) −1/5 (b) 5/6
  36. 36.What is 7/8 + (−8/9)? (a) 127/72 (b) 1/72 (c) −1/17 (d) −1/72
  37. 37.What is the additive inverse of 5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  38. 38.What is (−1/2) − 4/7? (a) −5/9 (b) −15/14 (c) 15/14 (d) 1/14
  39. 39.What is the additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  40. 40.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −8/14 (c) −7/4 (d) 4/7

Answer key

  1. −49/30
  2. 2/15
  3. −1/2
  4. Negative
  5. 31/72
  6. −1/9
  7. −1/9
  8. −4/9
  9. 9/2
  10. −2/3
  11. −13/24
  12. Positive
  13. 7/72
  14. −2/7
  15. −5/9
  16. −3/5
  17. −4/7
  18. 2/7
  19. 7/24
  20. Positive
  21. Negative
  22. −10/7
  23. −1/2
  24. Negative
  25. −3/4
  26. 9
  27. 5/8
  28. −3/4
  29. −1/7
  30. 69/56
  31. 7/6
  32. 26/63
  33. −59/72
  34. Positive
  35. 5/6
  36. −1/72
  37. −5/8
  38. −15/14
  39. 7/8
  40. −4/7

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