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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 538 · 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 (−1/8) + 4/5? (a) 27/40 (b) 3/13 (c) −37/40 (d) −27/40
  2. 2.Is 1/6 positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −5/6 or 1/4? (a) −5/6 (b) 1/4
  4. 4.Is −9/8 positive or negative? (a) Positive (b) Negative
  5. 5.Is −2/2 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−1/4) − 4/7? (a) 9/28 (b) −23/28 (c) −5/11 (d) 23/28
  7. 7.Write −8/14 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −8/14 (d) −7/4
  8. 8.Which is smaller: −3/8 or 3/5? (a) 3/5 (b) −3/8
  9. 9.What is (−5/6) + 6/7? (a) 1/13 (b) 1/42 (c) −71/42 (d) −1/42
  10. 10.What is (−8/9) + 5/9? (a) −1/3 (b) −13/9 (c) −1/6 (d) 1/3
  11. 11.Is 7/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is 3/5 + (−1/2)? (a) 1/10 (b) 11/10 (c) −1/10 (d) 2/7
  13. 13.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −16/28 (b) 4/7 (c) −7/4 (d) −4/7
  14. 14.What is (−1/6) + 3/8? (a) −5/24 (b) −13/24 (c) 1/7 (d) 5/24
  15. 15.Write −20/24 in standard form (lowest terms, positive denominator). (a) −20/24 (b) 5/6 (c) −6/5 (d) −5/6
  16. 16.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  17. 17.Which is smaller: −5/6 or −6/7? (a) −6/7 (b) −5/6
  18. 18.What is (−1/3) − 6/7? (a) 25/21 (b) 11/21 (c) −7/10 (d) −25/21
  19. 19.Which is bigger: −3/8 or −5/9? (a) −5/9 (b) −3/8
  20. 20.What is the additive inverse of −7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  21. 21.Is −6/(−8) positive or negative? (a) Negative (b) Positive
  22. 22.What is 1/2 − (−1/6)? (a) −2/3 (b) 1/4 (c) 1/3 (d) 2/3
  23. 23.What is (−1/5) + 4/5? (a) 3/10 (b) −1 (c) −3/5 (d) 3/5
  24. 24.Which is bigger: −1/7 or 3/4? (a) −1/7 (b) 3/4
  25. 25.Is 9/9 positive or negative? (a) Positive (b) Negative
  26. 26.Is 3/2 positive or negative? (a) Positive (b) Negative
  27. 27.What is (−5/6) + 3/8? (a) −11/24 (b) 11/24 (c) −29/24 (d) −1/7
  28. 28.Which is bigger: −1/4 or −1/3? (a) −1/4 (b) −1/3
  29. 29.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −10/18 (b) 5/9 (c) −9/5 (d) −5/9
  30. 30.What is (−2/9) + (−1/2)? (a) 13/18 (b) 5/18 (c) −3/11 (d) −13/18
  31. 31.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −4/10
  32. 32.What is (−4/7) − 6/7? (a) −5/7 (b) −10/7 (c) 2/7 (d) 10/7
  33. 33.Which is bigger: −3/5 or −1/5? (a) −1/5 (b) −3/5
  34. 34.What is 7/8 + (−2/3)? (a) 37/24 (b) −5/24 (c) 5/24 (d) 5/11
  35. 35.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −20/36
  36. 36.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  37. 37.What is (−7/8) − (−5/9)? (a) 23/72 (b) −103/72 (c) −2/17 (d) −23/72
  38. 38.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  39. 39.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  40. 40.Which is bigger: −4/9 or −6/7? (a) −6/7 (b) −4/9

Answer key

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

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