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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 900 · 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.Which is smaller: −1/6 or 1/2? (a) 1/2 (b) −1/6
  2. 2.What is 2/3 + (−7/8)? (a) −5/11 (b) 37/24 (c) 5/24 (d) −5/24
  3. 3.What is 2/5 − (−7/9)? (a) −53/45 (b) −17/45 (c) 9/14 (d) 53/45
  4. 4.Which is bigger: −2/7 or −3/5? (a) −3/5 (b) −2/7
  5. 5.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  6. 6.What is (−1/7) − 2/9? (a) −23/63 (b) 5/63 (c) −3/16 (d) 23/63
  7. 7.What is (−1/5) + 5/6? (a) −19/30 (b) −31/30 (c) 19/30 (d) 4/11
  8. 8.Which is smaller: −1/6 or −1/3? (a) −1/6 (b) −1/3
  9. 9.Write −30/36 in standard form (lowest terms, positive denominator). (a) −30/36 (b) −6/5 (c) −5/6 (d) 5/6
  10. 10.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) −5/9 (d) 5/9
  11. 11.What is (−1/3) + 4/7? (a) 3/10 (b) −5/21 (c) −19/21 (d) 5/21
  12. 12.What is 1/7 − (−5/9)? (a) −26/63 (b) 3/8 (c) −44/63 (d) 44/63
  13. 13.What is 8/9 + (−7/9)? (a) 1/18 (b) 1/9 (c) 5/3 (d) −1/9
  14. 14.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −12/16 (d) 3/4
  15. 15.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−8/9) + 7/8? (a) −1/17 (b) −1/72 (c) 1/72 (d) −127/72
  17. 17.Which is bigger: −3/7 or −2/7? (a) −2/7 (b) −3/7
  18. 18.What is 5/6 − (−2/5)? (a) −37/30 (b) 13/30 (c) 7/11 (d) 37/30
  19. 19.What is (−2/7) + (−2/3)? (a) 20/21 (b) −20/21 (c) −2/5 (d) 8/21
  20. 20.Which is smaller: −3/8 or −5/7? (a) −3/8 (b) −5/7
  21. 21.What is the additive inverse of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  22. 22.Is 2/7 positive or negative? (a) Negative (b) Positive
  23. 23.Write −2/18 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −2/18 (d) 1/9
  24. 24.Write −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −8/36
  25. 25.Which is smaller: −2/3 or −1/3? (a) −2/3 (b) −1/3
  26. 26.What is 1/8 + (−4/7)? (a) −25/56 (b) 25/56 (c) −1/5 (d) 39/56
  27. 27.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −40/45
  28. 28.Which is smaller: −7/9 or −1/2? (a) −7/9 (b) −1/2
  29. 29.What is (−1/3) + (−1/5)? (a) −1/4 (b) −8/15 (c) −2/15 (d) 8/15
  30. 30.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) −2/5 (d) 2/5
  31. 31.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −2/12 (d) −6/1
  32. 32.Is −3/2 positive or negative? (a) Negative (b) Positive
  33. 33.Write −30/48 in standard form (lowest terms, positive denominator). (a) −30/48 (b) −8/5 (c) 5/8 (d) −5/8
  34. 34.What is 1/7 + (−1/2)? (a) 5/14 (b) 0 (c) −5/14 (d) 9/14
  35. 35.What is the additive inverse of −4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  36. 36.Which is bigger: −3/4 or −2/9? (a) −3/4 (b) −2/9
  37. 37.What is (−3/4) − 1/2? (a) −2/3 (b) 5/4 (c) −1/4 (d) −5/4
  38. 38.What is 3/8 + (−2/5)? (a) 1/40 (b) 31/40 (c) 1/13 (d) −1/40
  39. 39.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) 2/7 (c) −2/7 (d) −7/2

Answer key

  1. −1/6
  2. −5/24
  3. 53/45
  4. −2/7
  5. −1/7
  6. −23/63
  7. 19/30
  8. −1/3
  9. −5/6
  10. −5/9
  11. 5/21
  12. 44/63
  13. 1/9
  14. −3/4
  15. Negative
  16. −1/72
  17. −2/7
  18. 37/30
  19. −20/21
  20. −5/7
  21. −2/3
  22. Positive
  23. −1/9
  24. −2/9
  25. −2/3
  26. −25/56
  27. −8/9
  28. −7/9
  29. −8/15
  30. −2/5
  31. −1/6
  32. Negative
  33. −5/8
  34. −5/14
  35. 4/5
  36. −2/9
  37. −5/4
  38. −1/40
  39. Positive
  40. 7/2

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