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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 39 · 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 (−5/8) + (−1/4)? (a) −3/8 (b) 7/8 (c) −7/8 (d) −1/2
  2. 2.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  3. 3.Which is bigger: −5/8 or −3/5? (a) −5/8 (b) −3/5
  4. 4.What is 1/2 + (−6/7)? (a) −5/9 (b) −5/14 (c) 19/14 (d) 5/14
  5. 5.Which is bigger: −4/7 or −2/5? (a) −4/7 (b) −2/5
  6. 6.What is (−1/4) + 7/9? (a) −37/36 (b) −19/36 (c) 19/36 (d) 6/13
  7. 7.Which is smaller: −2/3 or 1/8? (a) 1/8 (b) −2/3
  8. 8.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  9. 9.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −12/27 (d) −4/9
  10. 10.Which is bigger: −5/6 or 1/8? (a) −5/6 (b) 1/8
  11. 11.What is (−5/7) − (−2/5)? (a) −11/35 (b) 11/35 (c) −1/4 (d) −39/35
  12. 12.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  13. 13.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4
  14. 14.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −30/48 (b) 5/8 (c) −5/8 (d) −8/5
  15. 15.Which is bigger: −4/9 or 2/3? (a) 2/3 (b) −4/9
  16. 16.What is 4/5 − (−3/7)? (a) −43/35 (b) 7/12 (c) 13/35 (d) 43/35
  17. 17.Which is smaller: −3/5 or −4/7? (a) −3/5 (b) −4/7
  18. 18.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) 3/8 (d) −12/32
  19. 19.Which is smaller: −1/6 or −2/3? (a) −1/6 (b) −2/3
  20. 20.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −1/3 or −2/3? (a) −2/3 (b) −1/3
  22. 22.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  23. 23.What is 3/5 + (−1/4)? (a) −7/20 (b) 2/9 (c) 7/20 (d) 17/20
  24. 24.What is (−5/7) + 1/6? (a) 23/42 (b) −4/13 (c) −37/42 (d) −23/42
  25. 25.What is 1/2 + (−4/7)? (a) −1/3 (b) 1/14 (c) −1/14 (d) 15/14
  26. 26.Which is bigger: −2/3 or −1/2? (a) −1/2 (b) −2/3
  27. 27.Which is smaller: −3/4 or −1/3? (a) −1/3 (b) −3/4
  28. 28.What is (−4/5) − 5/6? (a) 1/30 (b) 49/30 (c) −9/11 (d) −49/30
  29. 29.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −5/8 (d) −8/5
  30. 30.What is (−2/5) − 4/9? (a) 38/45 (b) −3/7 (c) 2/45 (d) −38/45
  31. 31.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  32. 32.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −8/12 (b) 2/3 (c) −2/3 (d) −3/2
  33. 33.Which is smaller: −1/8 or −1/4? (a) −1/4 (b) −1/8
  34. 34.Write −6/42 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −6/42 (d) −1/7
  35. 35.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −15/18
  36. 36.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  37. 37.Is −3/4 positive or negative? (a) Positive (b) Negative
  38. 38.Which is smaller: −1/8 or −1/6? (a) −1/8 (b) −1/6
  39. 39.What is the additive inverse of 1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  40. 40.Is −2/9 positive or negative? (a) Negative (b) Positive

Answer key

  1. −7/8
  2. −8/7
  3. −3/5
  4. −5/14
  5. −2/5
  6. 19/36
  7. −2/3
  8. Positive
  9. −4/9
  10. 1/8
  11. −11/35
  12. −7/5
  13. −9/4
  14. −5/8
  15. 2/3
  16. 43/35
  17. −3/5
  18. −3/8
  19. −2/3
  20. Negative
  21. −1/3
  22. 7/6
  23. 7/20
  24. −23/42
  25. −1/14
  26. −1/2
  27. −3/4
  28. −49/30
  29. 5/8
  30. −38/45
  31. Positive
  32. −2/3
  33. −1/4
  34. −1/7
  35. −5/6
  36. −1/4
  37. Negative
  38. −1/6
  39. −1/7
  40. Negative

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