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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 54 · 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.Is 5/2 positive or negative? (a) Negative (b) Positive
  2. 2.Which is bigger: −8/9 or −3/5? (a) −3/5 (b) −8/9
  3. 3.What is the additive inverse of 3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  4. 4.Which is smaller: −1/9 or 2/3? (a) −1/9 (b) 2/3
  5. 5.What is (−1/6) + (−1/4)? (a) −5/12 (b) −1/5 (c) 1/12 (d) 5/12
  6. 6.Which is bigger: −1/4 or 3/5? (a) 3/5 (b) −1/4
  7. 7.Which is smaller: −6/7 or −3/8? (a) −3/8 (b) −6/7
  8. 8.Which is smaller: −1/7 or −2/5? (a) −1/7 (b) −2/5
  9. 9.Write −5/45 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −5/45 (d) −9/1
  10. 10.What is 3/5 − (−2/3)? (a) −1/15 (b) 19/15 (c) 5/8 (d) −19/15
  11. 11.What is (−2/5) + 5/9? (a) −43/45 (b) 7/45 (c) −7/45 (d) 3/14
  12. 12.Which is bigger: −1/4 or −2/5? (a) −1/4 (b) −2/5
  13. 13.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −4/32 (b) −1/8 (c) 1/8 (d) −8/1
  14. 14.Write −6/9 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −6/9
  15. 15.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −8/10 (c) 4/5 (d) −4/5
  16. 16.Which is smaller: −2/7 or −1/8? (a) −1/8 (b) −2/7
  17. 17.What is (−1/5) − 2/5? (a) 1/5 (b) −3/10 (c) 3/5 (d) −3/5
  18. 18.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −3/18 (c) 1/6 (d) −1/6
  19. 19.What is (−5/6) + (−3/4)? (a) 19/12 (b) −4/5 (c) −1/12 (d) −19/12
  20. 20.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −9/15
  21. 21.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) −3/4 (c) 3/4 (d) −4/3
  22. 22.What is (−5/7) − 1/6? (a) −6/13 (b) −23/42 (c) −37/42 (d) 37/42
  23. 23.Which is bigger: −5/9 or 4/7? (a) −5/9 (b) 4/7
  24. 24.What is (−2/9) + 5/7? (a) −59/63 (b) 3/16 (c) −31/63 (d) 31/63
  25. 25.Which is smaller: −2/5 or −4/7? (a) −2/5 (b) −4/7
  26. 26.What is (−3/4) − (−2/9)? (a) 19/36 (b) −1/13 (c) −35/36 (d) −19/36
  27. 27.Which is smaller: −7/8 or −2/3? (a) −7/8 (b) −2/3
  28. 28.Which is smaller: −8/9 or 5/6? (a) 5/6 (b) −8/9
  29. 29.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  30. 30.What is 2/5 + (−5/8)? (a) 41/40 (b) −9/40 (c) −3/13 (d) 9/40
  31. 31.What is (−1/3) − 5/6? (a) 1/2 (b) −2/3 (c) 7/6 (d) −7/6
  32. 32.What is (−7/8) + 6/7? (a) −97/56 (b) 1/56 (c) −1/56 (d) −1/15
  33. 33.Which is bigger: −1/6 or −5/8? (a) −1/6 (b) −5/8
  34. 34.What is (−1/3) + 1/6? (a) −1/2 (b) 0 (c) −1/6 (d) 1/6
  35. 35.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −3/8 (d) −6/16
  36. 36.What is (−2/7) + (−4/7)? (a) −6/7 (b) −3/7 (c) 6/7 (d) 2/7
  37. 37.Write −4/32 in standard form (lowest terms, positive denominator). (a) −4/32 (b) −1/8 (c) 1/8 (d) −8/1
  38. 38.What is (−3/5) − 2/7? (a) 31/35 (b) −31/35 (c) −5/12 (d) −11/35
  39. 39.What is (−8/9) − (−7/9)? (a) −1/18 (b) −5/3 (c) −1/9 (d) 1/9
  40. 40.What is (−2/7) − (−2/5)? (a) 0 (b) −24/35 (c) −4/35 (d) 4/35

Answer key

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

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