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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 354 · 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 4/7 + (−2/3)? (a) 1/5 (b) 26/21 (c) 2/21 (d) −2/21
  2. 2.What is 1/6 + (−1/4)? (a) −1/12 (b) 0 (c) 5/12 (d) 1/12
  3. 3.What is the additive inverse of 3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  4. 4.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  5. 5.What is 1/4 + (−4/5)? (a) −1/3 (b) −11/20 (c) 11/20 (d) 21/20
  6. 6.Which is bigger: −1/4 or −2/5? (a) −1/4 (b) −2/5
  7. 7.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  8. 8.Is 2/6 positive or negative? (a) Positive (b) Negative
  9. 9.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  10. 10.What is (−1/7) − (−1/3)? (a) 0 (b) −10/21 (c) 4/21 (d) −4/21
  11. 11.What is (−8/9) − (−7/8)? (a) −1/17 (b) 1/72 (c) −1/72 (d) −127/72
  12. 12.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −5/15 (b) −3/1 (c) −1/3 (d) 1/3
  13. 13.What is (−7/9) + 3/5? (a) 8/45 (b) −62/45 (c) −2/7 (d) −8/45
  14. 14.What is (−1/5) + (−5/8)? (a) 33/40 (b) −6/13 (c) −33/40 (d) 17/40
  15. 15.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/7) + (−3/4)? (a) 13/28 (b) −5/11 (c) −29/28 (d) 29/28
  17. 17.Which is smaller: −3/4 or 1/3? (a) 1/3 (b) −3/4
  18. 18.Is 5/3 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−4/5) + (−3/4)? (a) −31/20 (b) −7/9 (c) −1/20 (d) 31/20
  20. 20.What is (−5/8) + (−7/8)? (a) 1/4 (b) 3/2 (c) −3/2 (d) −3/4
  21. 21.What is 1/3 + (−1/4)? (a) −1/12 (b) 0 (c) 7/12 (d) 1/12
  22. 22.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  23. 23.What is (−4/7) − 1/6? (a) −5/13 (b) 31/42 (c) −31/42 (d) −17/42
  24. 24.What is 7/8 + (−2/3)? (a) 37/24 (b) 5/11 (c) 5/24 (d) −5/24
  25. 25.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −30/35 (b) −6/7 (c) 6/7 (d) −7/6
  26. 26.Which is smaller: −3/7 or −2/5? (a) −2/5 (b) −3/7
  27. 27.What is (−1/8) − (−1/4)? (a) −3/8 (b) 0 (c) −1/8 (d) 1/8
  28. 28.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −5/2 (d) −2/5
  29. 29.What is the additive inverse of 1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  30. 30.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −4/8 (c) −2/1 (d) 1/2
  31. 31.What is (−8/9) + 4/7? (a) −1/4 (b) 20/63 (c) −92/63 (d) −20/63
  32. 32.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  33. 33.What is (−5/6) − 1/5? (a) −31/30 (b) −19/30 (c) 31/30 (d) −6/11
  34. 34.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −6/15 (c) 2/5 (d) −2/5
  35. 35.Write −15/35 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) −15/35 (d) 3/7
  36. 36.What is (−7/8) − (−3/4)? (a) −1/8 (b) 1/8 (c) −13/8 (d) −1/3
  37. 37.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−3/7) + 5/8? (a) −11/56 (b) 2/15 (c) 11/56 (d) −59/56
  39. 39.Which is smaller: −5/6 or −1/4? (a) −1/4 (b) −5/6
  40. 40.Which is bigger: −1/8 or −1/3? (a) −1/8 (b) −1/3

Answer key

  1. −2/21
  2. −1/12
  3. −3/8
  4. −9/5
  5. −11/20
  6. −1/4
  7. 2/9
  8. Positive
  9. −9/7
  10. 4/21
  11. −1/72
  12. −1/3
  13. −8/45
  14. −33/40
  15. Negative
  16. −29/28
  17. −3/4
  18. Positive
  19. −31/20
  20. −3/2
  21. 1/12
  22. Negative
  23. −31/42
  24. 5/24
  25. −6/7
  26. −3/7
  27. 1/8
  28. −2/5
  29. −1/5
  30. −1/2
  31. −20/63
  32. 5/7
  33. −31/30
  34. −2/5
  35. −3/7
  36. −1/8
  37. Negative
  38. 11/56
  39. −5/6
  40. −1/8

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