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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 153 · 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 (−3/5) − 2/3? (a) 1/15 (b) 19/15 (c) −5/8 (d) −19/15
  2. 2.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  3. 3.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  4. 4.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −30/42 (d) −5/7
  5. 5.What is (−5/6) − 1/9? (a) 17/18 (b) −13/18 (c) −2/5 (d) −17/18
  6. 6.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  7. 7.Which is bigger: −1/7 or −2/3? (a) −2/3 (b) −1/7
  8. 8.Is −2/3 positive or negative? (a) Positive (b) Negative
  9. 9.Is −3/2 positive or negative? (a) Positive (b) Negative
  10. 10.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  11. 11.Write −3/18 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −3/18
  12. 12.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−3/7) − 5/8? (a) −59/56 (b) 59/56 (c) −8/15 (d) 11/56
  14. 14.What is (−2/3) − 2/7? (a) 20/21 (b) −2/5 (c) −8/21 (d) −20/21
  15. 15.Which is bigger: −3/5 or −4/5? (a) −3/5 (b) −4/5
  16. 16.What is 1/7 + (−3/5)? (a) 16/35 (b) −16/35 (c) 26/35 (d) −1/6
  17. 17.Is 9/5 positive or negative? (a) Positive (b) Negative
  18. 18.What is 3/8 + (−1/6)? (a) 5/24 (b) −5/24 (c) 1/7 (d) 13/24
  19. 19.What is 2/3 − (−1/6)? (a) 1/3 (b) −5/6 (c) 1/2 (d) 5/6
  20. 20.Which is bigger: −5/7 or −5/8? (a) −5/7 (b) −5/8
  21. 21.Write −20/24 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −5/6 (d) −20/24
  22. 22.Which is bigger: −5/6 or −7/9? (a) −5/6 (b) −7/9
  23. 23.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −15/18 (b) −6/5 (c) −5/6 (d) 5/6
  24. 24.What is 1/7 + (−1/5)? (a) 12/35 (b) 2/35 (c) −2/35 (d) 0
  25. 25.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  26. 26.What is (−3/7) − (−2/9)? (a) 13/63 (b) −1/16 (c) −41/63 (d) −13/63
  27. 27.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  28. 28.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  29. 29.Which is bigger: −4/9 or −1/3? (a) −1/3 (b) −4/9
  30. 30.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) 1/7 (c) −1/7 (d) 7
  31. 31.Is −1/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  33. 33.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  34. 34.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  35. 35.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) −1/2 (c) 1/2 (d) −2/1
  36. 36.What is 1/8 + (−4/5)? (a) 37/40 (b) 27/40 (c) −3/13 (d) −27/40
  37. 37.What is (−3/5) + 1/5? (a) 2/5 (b) −1/5 (c) −4/5 (d) −2/5
  38. 38.What is (−3/7) − 3/8? (a) −3/56 (b) −2/5 (c) −45/56 (d) 45/56
  39. 39.What is 3/5 + (−1/5)? (a) 1/5 (b) 2/5 (c) −2/5 (d) 4/5
  40. 40.What is (−1/3) + 4/7? (a) −19/21 (b) −5/21 (c) 3/10 (d) 5/21

Answer key

  1. −19/15
  2. Positive
  3. Negative
  4. −5/7
  5. −17/18
  6. −1/5
  7. −1/7
  8. Negative
  9. Negative
  10. 5
  11. −1/6
  12. Negative
  13. −59/56
  14. −20/21
  15. −3/5
  16. −16/35
  17. Positive
  18. 5/24
  19. 5/6
  20. −5/8
  21. −5/6
  22. −7/9
  23. −5/6
  24. −2/35
  25. −1/3
  26. −13/63
  27. −9/7
  28. −6/7
  29. −1/3
  30. −7
  31. Negative
  32. −3/8
  33. Positive
  34. Negative
  35. −1/2
  36. −27/40
  37. −2/5
  38. −45/56
  39. 2/5
  40. 5/21

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