← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 185 · 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.Is 2/2 positive or negative? (a) Negative (b) Positive
  2. 2.Write −3/27 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −9/1 (d) −3/27
  3. 3.Write −4/20 in standard form (lowest terms, positive denominator). (a) −4/20 (b) 1/5 (c) −1/5 (d) −5/1
  4. 4.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  5. 5.What is (−5/6) − 3/8? (a) 29/24 (b) −4/7 (c) −29/24 (d) −11/24
  6. 6.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −9/2 (d) −12/54
  7. 7.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) −7/9 (c) −9/7 (d) 7/9
  8. 8.What is (−4/9) + 7/9? (a) −1/3 (b) 1/6 (c) 1/3 (d) −11/9
  9. 9.What is (−1/2) − (−6/7)? (a) 5/14 (b) −19/14 (c) −5/14 (d) 5/9
  10. 10.What is the additive inverse of −5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  11. 11.What is (−6/7) + 2/3? (a) −4/21 (b) −2/5 (c) −32/21 (d) 4/21
  12. 12.Is 7/9 positive or negative? (a) Negative (b) Positive
  13. 13.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −5/7 or −4/7? (a) −4/7 (b) −5/7
  15. 15.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  16. 16.What is the additive inverse of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  17. 17.Is −2/4 positive or negative? (a) Negative (b) Positive
  18. 18.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −7/4 (d) −8/14
  19. 19.What is 2/5 − (−1/8)? (a) 3/13 (b) 21/40 (c) −21/40 (d) 11/40
  20. 20.Which is bigger: −1/3 or −3/4? (a) −3/4 (b) −1/3
  21. 21.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) 7/3 (c) 3/7 (d) −7/3
  22. 22.Which is smaller: −2/7 or −5/7? (a) −2/7 (b) −5/7
  23. 23.Is −5/4 positive or negative? (a) Negative (b) Positive
  24. 24.Is −9/4 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−5/8) + (−1/7)? (a) −27/56 (b) −43/56 (c) −2/5 (d) 43/56
  26. 26.What is 3/7 − (−4/7)? (a) −1 (b) −1/7 (c) 1/2 (d) 1
  27. 27.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −30/48 (c) 5/8 (d) −5/8
  28. 28.What is 2/7 − (−2/9)? (a) −32/63 (b) 1/4 (c) 32/63 (d) 4/63
  29. 29.Which is smaller: −5/9 or 1/9? (a) −5/9 (b) 1/9
  30. 30.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  31. 31.Write −16/36 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −4/9 (d) −16/36
  32. 32.What is 1/6 + (−7/9)? (a) 17/18 (b) 11/18 (c) −11/18 (d) −2/5
  33. 33.Which is smaller: −2/9 or 5/7? (a) 5/7 (b) −2/9
  34. 34.What is (−4/5) + 1/2? (a) −3/7 (b) −3/10 (c) −13/10 (d) 3/10
  35. 35.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −1/3 or −1/8? (a) −1/8 (b) −1/3
  37. 37.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −15/21 (d) −5/7
  38. 38.Write −20/24 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −20/24 (c) 5/6 (d) −6/5
  39. 39.Which is bigger: −2/7 or −3/5? (a) −3/5 (b) −2/7
  40. 40.Which is smaller: −1/3 or −2/9? (a) −2/9 (b) −1/3

Answer key

  1. Positive
  2. −1/9
  3. −1/5
  4. −1/7
  5. −29/24
  6. −2/9
  7. −9/7
  8. 1/3
  9. 5/14
  10. 5/8
  11. −4/21
  12. Positive
  13. Negative
  14. −4/7
  15. 3/5
  16. 4/7
  17. Negative
  18. −4/7
  19. 21/40
  20. −1/3
  21. −7/3
  22. −5/7
  23. Negative
  24. Negative
  25. −43/56
  26. 1
  27. −5/8
  28. 32/63
  29. −5/9
  30. Negative
  31. −4/9
  32. −11/18
  33. −2/9
  34. −3/10
  35. Negative
  36. −1/8
  37. −5/7
  38. −5/6
  39. −2/7
  40. −1/3

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