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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 465 · 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 (−3/4) + 6/7? (a) 3/28 (b) −45/28 (c) −3/28 (d) 3/11
  2. 2.Write −20/25 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −20/25 (c) −5/4 (d) 4/5
  3. 3.What is (−1/6) − (−5/7)? (a) −23/42 (b) −37/42 (c) 4/13 (d) 23/42
  4. 4.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −6/18 (c) −3/1 (d) 1/3
  5. 5.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −12/54 (d) −9/2
  6. 6.What is (−4/9) + (−7/8)? (a) 31/72 (b) −95/72 (c) −11/17 (d) 95/72
  7. 7.Is 9/2 positive or negative? (a) Positive (b) Negative
  8. 8.What is 2/7 + (−1/6)? (a) 1/13 (b) 19/42 (c) 5/42 (d) −5/42
  9. 9.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  10. 10.Is 5/4 positive or negative? (a) Negative (b) Positive
  11. 11.What is 3/5 − (−2/3)? (a) −19/15 (b) −1/15 (c) 5/8 (d) 19/15
  12. 12.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −25/30
  13. 13.What is the additive inverse of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  14. 14.What is 3/4 − (−5/9)? (a) 7/36 (b) −47/36 (c) 8/13 (d) 47/36
  15. 15.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  16. 16.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−8/9) + 5/6? (a) −1/5 (b) −1/18 (c) −31/18 (d) 1/18
  18. 18.Which is smaller: −1/9 or −3/5? (a) −1/9 (b) −3/5
  19. 19.What is (−1/6) + (−1/2)? (a) 1/3 (b) −1/4 (c) 2/3 (d) −2/3
  20. 20.Is 9/3 positive or negative? (a) Negative (b) Positive
  21. 21.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −5/1 (c) 1/5 (d) −1/5
  22. 22.Write −8/28 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −8/28
  23. 23.Which is bigger: −3/7 or −5/6? (a) −5/6 (b) −3/7
  24. 24.Which is smaller: −6/7 or 3/7? (a) −6/7 (b) 3/7
  25. 25.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  26. 26.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −30/54 (c) −9/5 (d) 5/9
  27. 27.Is −5/(−4) positive or negative? (a) Negative (b) Positive
  28. 28.Which is bigger: −1/2 or −4/7? (a) −4/7 (b) −1/2
  29. 29.Which is smaller: −2/7 or 5/8? (a) 5/8 (b) −2/7
  30. 30.Is 4/2 positive or negative? (a) Negative (b) Positive
  31. 31.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −8/36 (b) −2/9 (c) 2/9 (d) −9/2
  32. 32.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  33. 33.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −5/7 (d) −15/21
  34. 34.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  35. 35.Which is bigger: −3/4 or −1/5? (a) −1/5 (b) −3/4
  36. 36.What is (−4/5) − 1/4? (a) 21/20 (b) −11/20 (c) −21/20 (d) −5/9
  37. 37.Write −24/28 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −24/28 (d) −6/7
  38. 38.What is 2/3 + (−7/9)? (a) −1/9 (b) 13/9 (c) −5/12 (d) 1/9
  39. 39.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) −3/8 (c) −8/3 (d) 3/8
  40. 40.Is 1/2 positive or negative? (a) Negative (b) Positive

Answer key

  1. 3/28
  2. −4/5
  3. 23/42
  4. −1/3
  5. −2/9
  6. −95/72
  7. Positive
  8. 5/42
  9. −6/5
  10. Positive
  11. 19/15
  12. −5/6
  13. −6/7
  14. 47/36
  15. −4/3
  16. Positive
  17. −1/18
  18. −3/5
  19. −2/3
  20. Positive
  21. −1/5
  22. −2/7
  23. −3/7
  24. −6/7
  25. Negative
  26. −5/9
  27. Positive
  28. −1/2
  29. −2/7
  30. Positive
  31. −2/9
  32. Negative
  33. −5/7
  34. 5/2
  35. −1/5
  36. −21/20
  37. −6/7
  38. −1/9
  39. −3/8
  40. Positive

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