← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 971 · 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 (−3/8) − 1/9? (a) 35/72 (b) −35/72 (c) −4/17 (d) −19/72
  2. 2.What is 1/9 + (−1/4)? (a) 13/36 (b) 0 (c) 5/36 (d) −5/36
  3. 3.What is (−2/9) + (−3/8)? (a) −5/17 (b) −43/72 (c) 43/72 (d) 11/72
  4. 4.What is (−3/7) + (−3/4)? (a) 33/28 (b) 9/28 (c) −6/11 (d) −33/28
  5. 5.Which is smaller: −1/9 or −3/5? (a) −1/9 (b) −3/5
  6. 6.What is (−1/9) − 1/8? (a) 1/72 (b) −17/72 (c) −2/17 (d) 17/72
  7. 7.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  8. 8.Which is smaller: −4/9 or −2/3? (a) −4/9 (b) −2/3
  9. 9.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  10. 10.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  11. 11.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) −9/7 (c) −7/9 (d) 7/9
  12. 12.What is (−5/6) − 3/7? (a) −8/13 (b) −53/42 (c) −17/42 (d) 53/42
  13. 13.Which is bigger: −5/6 or −3/4? (a) −5/6 (b) −3/4
  14. 14.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  15. 15.What is (−1/4) − 1/3? (a) −2/7 (b) −7/12 (c) 1/12 (d) 7/12
  16. 16.What is 1/5 + (−1/8)? (a) 3/40 (b) 13/40 (c) 0 (d) −3/40
  17. 17.What is the additive inverse of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  18. 18.Which is smaller: −4/5 or 3/4? (a) 3/4 (b) −4/5
  19. 19.Is 8/4 positive or negative? (a) Negative (b) Positive
  20. 20.What is 3/8 + (−4/7)? (a) 11/56 (b) −11/56 (c) 53/56 (d) −1/15
  21. 21.Is −7/9 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −7/8 or −3/5? (a) −3/5 (b) −7/8
  23. 23.Which is smaller: −1/7 or 1/4? (a) −1/7 (b) 1/4
  24. 24.Which is smaller: −1/3 or −1/8? (a) −1/8 (b) −1/3
  25. 25.Which is bigger: −1/3 or 1/5? (a) −1/3 (b) 1/5
  26. 26.What is 7/8 − (−4/7)? (a) −81/56 (b) 81/56 (c) 17/56 (d) 11/15
  27. 27.What is 1/3 + (−6/7)? (a) 25/21 (b) −11/21 (c) −1/2 (d) 11/21
  28. 28.What is 3/4 + (−3/7)? (a) 33/28 (b) 0 (c) −9/28 (d) 9/28
  29. 29.Which is bigger: −2/7 or −2/9? (a) −2/9 (b) −2/7
  30. 30.Is 3/8 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−5/6) − 5/9? (a) 25/18 (b) −2/3 (c) −5/18 (d) −25/18
  32. 32.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −4/18 (c) 2/9 (d) −2/9
  33. 33.What is (−5/6) − (−8/9)? (a) 1/5 (b) −1/18 (c) −31/18 (d) 1/18
  34. 34.What is 2/5 + (−2/5)? (a) 0 (b) 4/5
  35. 35.What is (−1/2) − 1/8? (a) −5/8 (b) −1/5 (c) −3/8 (d) 5/8
  36. 36.Write −6/30 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −6/30 (d) −5/1
  37. 37.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  38. 38.Which is smaller: −4/9 or 4/7? (a) 4/7 (b) −4/9
  39. 39.What is (−6/7) + (−1/7)? (a) 1 (b) −1 (c) −5/7 (d) −1/2
  40. 40.Write −4/8 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) 1/2 (d) −4/8

Answer key

  1. −35/72
  2. −5/36
  3. −43/72
  4. −33/28
  5. −3/5
  6. −17/72
  7. 1/5
  8. −2/3
  9. 4
  10. 5/6
  11. −7/9
  12. −53/42
  13. −3/4
  14. −8/3
  15. −7/12
  16. 3/40
  17. −4/7
  18. −4/5
  19. Positive
  20. −11/56
  21. Negative
  22. −7/8
  23. −1/7
  24. −1/3
  25. 1/5
  26. 81/56
  27. −11/21
  28. 9/28
  29. −2/9
  30. Positive
  31. −25/18
  32. −2/9
  33. 1/18
  34. 0
  35. −5/8
  36. −1/5
  37. 5/3
  38. −4/9
  39. −1
  40. −1/2

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