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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 806 · 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.Write −30/35 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −30/35 (c) 6/7 (d) −7/6
  2. 2.What is 7/8 + (−7/8)? (a) 7/4 (b) 0
  3. 3.What is (−7/8) + 6/7? (a) 1/56 (b) −97/56 (c) −1/15 (d) −1/56
  4. 4.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) 1/3 (d) −3/1
  5. 5.Write −6/36 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/36 (c) 1/6 (d) −6/1
  6. 6.What is (−7/8) − 3/5? (a) −10/13 (b) 59/40 (c) −59/40 (d) −11/40
  7. 7.What is the additive inverse of −5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  8. 8.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  9. 9.What is 3/4 + (−7/9)? (a) −4/13 (b) −1/36 (c) 55/36 (d) 1/36
  10. 10.Which is bigger: −7/9 or −5/9? (a) −5/9 (b) −7/9
  11. 11.What is 1/8 + (−8/9)? (a) 55/72 (b) −7/17 (c) 73/72 (d) −55/72
  12. 12.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) −5/9 (c) 5/9 (d) −9/5
  13. 13.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  14. 14.Which is bigger: −5/9 or 1/7? (a) −5/9 (b) 1/7
  15. 15.Which is bigger: −4/5 or 1/6? (a) 1/6 (b) −4/5
  16. 16.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −8/10 (c) −4/5 (d) 4/5
  17. 17.Which is smaller: −3/5 or −3/7? (a) −3/7 (b) −3/5
  18. 18.What is (−5/8) − 4/5? (a) −57/40 (b) 7/40 (c) −9/13 (d) 57/40
  19. 19.What is (−2/9) + (−1/7)? (a) −5/63 (b) 23/63 (c) −3/16 (d) −23/63
  20. 20.What is the additive inverse of 1/9? (a) −9 (b) 9 (c) 1/9 (d) −1/9
  21. 21.What is (−4/5) + 3/4? (a) 1/20 (b) −1/9 (c) −31/20 (d) −1/20
  22. 22.Which is smaller: −5/7 or −5/6? (a) −5/7 (b) −5/6
  23. 23.What is (−5/6) + 5/8? (a) 0 (b) −35/24 (c) −5/24 (d) 5/24
  24. 24.What is (−2/3) + (−5/6)? (a) 1/6 (b) 3/2 (c) −7/9 (d) −3/2
  25. 25.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  26. 26.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −4/9 or −3/4? (a) −3/4 (b) −4/9
  28. 28.Which is bigger: −4/9 or −4/7? (a) −4/9 (b) −4/7
  29. 29.What is (−1/4) + 2/7? (a) 1/11 (b) 1/28 (c) −1/28 (d) −15/28
  30. 30.What is (−2/5) − (−4/5)? (a) 1/5 (b) −6/5 (c) 2/5 (d) −2/5
  31. 31.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −16/28 (c) 4/7 (d) −4/7
  32. 32.Is −3/(−7) positive or negative? (a) Positive (b) Negative
  33. 33.What is the additive inverse of −1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  34. 34.Which is smaller: −3/7 or −1/5? (a) −1/5 (b) −3/7
  35. 35.Which is bigger: −1/5 or −4/5? (a) −4/5 (b) −1/5
  36. 36.What is (−1/6) − 1/6? (a) 1/3 (b) 0 (c) −1/3 (d) −1/6
  37. 37.What is the additive inverse of −3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  38. 38.What is (−4/7) + 1/3? (a) 5/21 (b) −5/21 (c) −3/10 (d) −19/21
  39. 39.Which is bigger: −1/9 or −3/8? (a) −3/8 (b) −1/9
  40. 40.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) 4/5 (c) −5/4 (d) −4/5

Answer key

  1. −6/7
  2. 0
  3. −1/56
  4. −1/3
  5. −1/6
  6. −59/40
  7. 5/6
  8. 9
  9. −1/36
  10. −5/9
  11. −55/72
  12. −5/9
  13. −5/7
  14. 1/7
  15. 1/6
  16. −4/5
  17. −3/5
  18. −57/40
  19. −23/63
  20. −1/9
  21. −1/20
  22. −5/6
  23. −5/24
  24. −3/2
  25. −7/2
  26. Negative
  27. −4/9
  28. −4/9
  29. 1/28
  30. 2/5
  31. −4/7
  32. Positive
  33. 1/3
  34. −3/7
  35. −1/5
  36. −1/3
  37. 3/4
  38. −5/21
  39. −1/9
  40. −4/5

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