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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 836 · 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 (−1/3) + 7/8? (a) −29/24 (b) 6/11 (c) −13/24 (d) 13/24
  2. 2.Is −9/(−9) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−1/5) + 4/5? (a) −3/5 (b) −1 (c) 3/10 (d) 3/5
  4. 4.What is (−5/6) − (−4/9)? (a) −23/18 (b) −1/15 (c) −7/18 (d) 7/18
  5. 5.Which is smaller: −1/6 or −6/7? (a) −1/6 (b) −6/7
  6. 6.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −15/24 (d) 5/8
  7. 7.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  8. 8.What is 1/6 + (−1/6)? (a) 1/3 (b) 0
  9. 9.Write −8/10 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −8/10 (c) 4/5 (d) −5/4
  10. 10.What is (−6/7) + 6/7? (a) −12/7 (b) 0
  11. 11.Write −4/18 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −4/18 (c) −9/2 (d) −2/9
  12. 12.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −10/12 (c) −6/5 (d) 5/6
  13. 13.Write −16/28 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −16/28 (c) −4/7 (d) 4/7
  14. 14.What is (−3/5) − 1/7? (a) 26/35 (b) −16/35 (c) −26/35 (d) −1/3
  15. 15.What is 5/8 + (−2/3)? (a) 3/11 (b) −1/24 (c) 31/24 (d) 1/24
  16. 16.Write −10/35 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −10/35
  17. 17.What is the additive inverse of −7/9? (a) 7/9 (b) −7/9 (c) −9/7 (d) 9/7
  18. 18.What is (−2/9) − (−1/3)? (a) −1/12 (b) 1/9 (c) −1/9 (d) −5/9
  19. 19.What is 1/7 + (−5/8)? (a) 27/56 (b) −27/56 (c) 43/56 (d) −4/15
  20. 20.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  21. 21.Is 9/(−2) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−4/5) + 3/5? (a) 1/5 (b) −7/5 (c) −1/5 (d) −1/10
  23. 23.What is (−3/7) + 5/6? (a) 17/42 (b) −53/42 (c) −17/42 (d) 2/13
  24. 24.Write −24/42 in standard form (lowest terms, positive denominator). (a) −24/42 (b) −7/4 (c) −4/7 (d) 4/7
  25. 25.What is (−3/4) − 2/5? (a) −5/9 (b) 23/20 (c) −7/20 (d) −23/20
  26. 26.What is (−1/6) + (−2/7)? (a) 19/42 (b) 5/42 (c) −3/13 (d) −19/42
  27. 27.Which is bigger: −1/7 or −5/7? (a) −5/7 (b) −1/7
  28. 28.Which is bigger: −4/5 or 3/5? (a) 3/5 (b) −4/5
  29. 29.Which is bigger: −3/7 or −1/2? (a) −3/7 (b) −1/2
  30. 30.What is (−1/5) + (−7/8)? (a) −8/13 (b) −43/40 (c) 27/40 (d) 43/40
  31. 31.Write −8/12 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −8/12 (d) −2/3
  32. 32.Which is smaller: −2/9 or −1/2? (a) −1/2 (b) −2/9
  33. 33.What is (−2/3) − 1/4? (a) −3/7 (b) 11/12 (c) −11/12 (d) −5/12
  34. 34.Is −9/2 positive or negative? (a) Positive (b) Negative
  35. 35.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −18/30 (d) −5/3
  36. 36.What is (−1/9) + (−5/6)? (a) 17/18 (b) −17/18 (c) −2/5 (d) 13/18
  37. 37.What is the additive inverse of 4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  38. 38.What is (−1/7) + 2/7? (a) 1/14 (b) 1/7 (c) −1/7 (d) −3/7
  39. 39.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 5/7 (c) −7/5 (d) 7/5
  40. 40.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −12/30 (c) 2/5 (d) −5/2

Answer key

  1. 13/24
  2. Positive
  3. 3/5
  4. −7/18
  5. −6/7
  6. −5/8
  7. 1/4
  8. 0
  9. −4/5
  10. 0
  11. −2/9
  12. −5/6
  13. −4/7
  14. −26/35
  15. −1/24
  16. −2/7
  17. 7/9
  18. 1/9
  19. −27/56
  20. 9/8
  21. Negative
  22. −1/5
  23. 17/42
  24. −4/7
  25. −23/20
  26. −19/42
  27. −1/7
  28. 3/5
  29. −3/7
  30. −43/40
  31. −2/3
  32. −1/2
  33. −11/12
  34. Negative
  35. −3/5
  36. −17/18
  37. −4/5
  38. 1/7
  39. 7/5
  40. −2/5

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