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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 671 · 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.Which is bigger: −2/3 or −3/8? (a) −2/3 (b) −3/8
  2. 2.What is the additive inverse of −2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  3. 3.Which is bigger: −1/7 or −5/9? (a) −5/9 (b) −1/7
  4. 4.Which is smaller: −5/6 or −3/5? (a) −5/6 (b) −3/5
  5. 5.What is 1/9 − (−1/3)? (a) −4/9 (b) −2/9 (c) 4/9 (d) 1/6
  6. 6.Is −1/3 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−1/9) − 4/5? (a) 31/45 (b) −41/45 (c) 41/45 (d) −5/14
  8. 8.What is the additive inverse of −4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  9. 9.Which is bigger: −3/8 or 6/7? (a) −3/8 (b) 6/7
  10. 10.What is the additive inverse of −1/2? (a) 2 (b) −2 (c) 1/2 (d) −1/2
  11. 11.Is −8/6 positive or negative? (a) Positive (b) Negative
  12. 12.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) 2/9 (d) −12/54
  13. 13.Which is bigger: −7/9 or −1/5? (a) −1/5 (b) −7/9
  14. 14.Is 6/3 positive or negative? (a) Positive (b) Negative
  15. 15.What is 1/8 − (−5/9)? (a) 6/17 (b) −31/72 (c) 49/72 (d) −49/72
  16. 16.What is 6/7 − (−6/7)? (a) 6/7 (b) 12/7 (c) 0 (d) −12/7
  17. 17.What is (−1/3) + 4/9? (a) −1/9 (b) −7/9 (c) 1/9 (d) 1/4
  18. 18.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −4/9 or −1/7? (a) −4/9 (b) −1/7
  20. 20.Write −4/24 in standard form (lowest terms, positive denominator). (a) −4/24 (b) −6/1 (c) 1/6 (d) −1/6
  21. 21.What is 1/2 + (−6/7)? (a) −5/14 (b) 19/14 (c) −5/9 (d) 5/14
  22. 22.Which is bigger: −2/3 or 2/9? (a) −2/3 (b) 2/9
  23. 23.What is the additive inverse of 3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  24. 24.Which is smaller: −3/5 or −4/7? (a) −4/7 (b) −3/5
  25. 25.What is (−7/8) + 5/8? (a) −1/8 (b) 1/4 (c) −3/2 (d) −1/4
  26. 26.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −4/10 (c) −2/5 (d) −5/2
  27. 27.What is 7/9 + (−1/5)? (a) 44/45 (b) 3/7 (c) 26/45 (d) −26/45
  28. 28.Which is bigger: −1/6 or −1/5? (a) −1/5 (b) −1/6
  29. 29.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  30. 30.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −21/27 (c) −7/9 (d) −9/7
  31. 31.What is (−1/8) − (−1/8)? (a) 0 (b) −1/4
  32. 32.What is (−2/3) + 1/8? (a) −1/11 (b) −19/24 (c) −13/24 (d) 13/24
  33. 33.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) −12/27 (d) 4/9
  34. 34.What is the additive inverse of −1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  35. 35.Which is smaller: −1/4 or −3/5? (a) −3/5 (b) −1/4
  36. 36.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) −7/4 (c) 7/4 (d) 4/7
  37. 37.What is 4/9 − (−1/3)? (a) 5/12 (b) −7/9 (c) 1/9 (d) 7/9
  38. 38.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −15/20 (c) −4/3 (d) 3/4
  39. 39.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −9/7 (d) −21/27
  40. 40.What is (−5/6) − (−3/7)? (a) 17/42 (b) −2/13 (c) −17/42 (d) −53/42

Answer key

  1. −3/8
  2. 2/3
  3. −1/7
  4. −5/6
  5. 4/9
  6. Negative
  7. −41/45
  8. 4/7
  9. 6/7
  10. 1/2
  11. Negative
  12. −2/9
  13. −1/5
  14. Positive
  15. 49/72
  16. 12/7
  17. 1/9
  18. Negative
  19. −1/7
  20. −1/6
  21. −5/14
  22. 2/9
  23. −3/4
  24. −3/5
  25. −1/4
  26. −2/5
  27. 26/45
  28. −1/6
  29. −2/5
  30. −7/9
  31. 0
  32. −13/24
  33. −4/9
  34. 1/3
  35. −3/5
  36. −7/4
  37. 7/9
  38. −3/4
  39. −7/9
  40. −17/42

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