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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 308 · 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) + 2/3? (a) −1/7 (b) −17/12 (c) 1/12 (d) −1/12
  2. 2.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  3. 3.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −6/21 (c) 2/7 (d) −7/2
  4. 4.What is the additive inverse of 4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  5. 5.What is (−3/4) + (−5/6)? (a) −19/12 (b) 1/12 (c) −4/5 (d) 19/12
  6. 6.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  7. 7.Write −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −3/6 (c) −2/1 (d) −1/2
  8. 8.What is (−3/4) − (−2/5)? (a) 7/20 (b) −7/20 (c) −1/9 (d) −23/20
  9. 9.What is (−2/3) + 4/7? (a) −26/21 (b) −2/21 (c) 1/5 (d) 2/21
  10. 10.What is 1/6 + (−3/8)? (a) −1/7 (b) −5/24 (c) 13/24 (d) 5/24
  11. 11.What is 5/8 + (−2/3)? (a) 31/24 (b) 3/11 (c) −1/24 (d) 1/24
  12. 12.What is (−1/8) + 1/3? (a) 0 (b) −11/24 (c) 5/24 (d) −5/24
  13. 13.What is 5/6 + (−2/3)? (a) 3/2 (b) −1/6 (c) 1/3 (d) 1/6
  14. 14.What is (−6/7) − 4/7? (a) −5/7 (b) −2/7 (c) −10/7 (d) 10/7
  15. 15.Write −3/15 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −3/15 (d) −1/5
  16. 16.Which is smaller: −6/7 or 3/4? (a) 3/4 (b) −6/7
  17. 17.What is (−4/5) + (−5/8)? (a) −9/13 (b) 57/40 (c) −7/40 (d) −57/40
  18. 18.What is 5/9 + (−1/2)? (a) 19/18 (b) 4/11 (c) 1/18 (d) −1/18
  19. 19.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −9/15
  20. 20.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −8/3 (d) −6/16
  21. 21.Is 4/4 positive or negative? (a) Positive (b) Negative
  22. 22.Write −20/32 in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −20/32 (d) −5/8
  23. 23.What is the additive inverse of −5/7? (a) −5/7 (b) −7/5 (c) 7/5 (d) 5/7
  24. 24.Is 4/2 positive or negative? (a) Negative (b) Positive
  25. 25.What is 3/7 − (−3/8)? (a) −45/56 (b) 3/56 (c) 2/5 (d) 45/56
  26. 26.What is (−2/3) + (−2/5)? (a) −4/15 (b) 16/15 (c) −1/2 (d) −16/15
  27. 27.What is 4/9 − (−4/9)? (a) 0 (b) 8/9 (c) 4/9 (d) −8/9
  28. 28.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −12/54 (c) −9/2 (d) −2/9
  29. 29.What is 1/5 + (−1/3)? (a) 8/15 (b) 0 (c) −2/15 (d) 2/15
  30. 30.Is −5/7 positive or negative? (a) Positive (b) Negative
  31. 31.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  32. 32.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −12/32 (c) −3/8 (d) −8/3
  33. 33.Is 9/6 positive or negative? (a) Negative (b) Positive
  34. 34.Which is bigger: −1/3 or 4/5? (a) 4/5 (b) −1/3
  35. 35.What is (−2/9) − (−1/3)? (a) −1/12 (b) 1/9 (c) −5/9 (d) −1/9
  36. 36.What is (−2/7) + (−3/4)? (a) 13/28 (b) −5/11 (c) −29/28 (d) 29/28
  37. 37.Write −30/48 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −30/48 (c) 5/8 (d) −5/8
  38. 38.What is (−3/4) + (−3/4)? (a) −3/4 (b) 3/2 (c) −3/2 (d) 0
  39. 39.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −18/21
  40. 40.Write −24/42 in standard form (lowest terms, positive denominator). (a) −24/42 (b) −7/4 (c) 4/7 (d) −4/7

Answer key

  1. −1/12
  2. −5
  3. −2/7
  4. −4/9
  5. −19/12
  6. Negative
  7. −1/2
  8. −7/20
  9. −2/21
  10. −5/24
  11. −1/24
  12. 5/24
  13. 1/6
  14. −10/7
  15. −1/5
  16. −6/7
  17. −57/40
  18. 1/18
  19. −3/5
  20. −3/8
  21. Positive
  22. −5/8
  23. 5/7
  24. Positive
  25. 45/56
  26. −16/15
  27. 8/9
  28. −2/9
  29. −2/15
  30. Negative
  31. Positive
  32. −3/8
  33. Positive
  34. 4/5
  35. 1/9
  36. −29/28
  37. −5/8
  38. −3/2
  39. −6/7
  40. −4/7

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