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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 164 · 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 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −4/16 (d) −1/4
  2. 2.What is 3/4 − (−4/9)? (a) 43/36 (b) 7/13 (c) −43/36 (d) 11/36
  3. 3.What is (−3/5) − (−7/9)? (a) 2/7 (b) −8/45 (c) −62/45 (d) 8/45
  4. 4.What is the additive inverse of −1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  5. 5.What is (−1/3) − (−7/9)? (a) −4/9 (b) 4/9 (c) −10/9 (d) 1/2
  6. 6.Is 1/3 positive or negative? (a) Positive (b) Negative
  7. 7.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −2/5 (c) −5/2 (d) 2/5
  8. 8.What is the additive inverse of −4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  9. 9.Which is smaller: −7/8 or 1/4? (a) 1/4 (b) −7/8
  10. 10.Write −30/54 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −30/54
  11. 11.Write −4/14 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −4/14 (c) 2/7 (d) −7/2
  12. 12.What is (−1/9) − 5/6? (a) 17/18 (b) −2/5 (c) −17/18 (d) 13/18
  13. 13.Which is bigger: −2/5 or −5/7? (a) −5/7 (b) −2/5
  14. 14.What is 3/4 − (−4/5)? (a) 31/20 (b) −1/20 (c) −31/20 (d) 7/9
  15. 15.What is (−3/4) − (−2/9)? (a) −19/36 (b) −1/13 (c) −35/36 (d) 19/36
  16. 16.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  17. 17.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  18. 18.Which is bigger: −5/8 or −1/2? (a) −5/8 (b) −1/2
  19. 19.What is (−4/7) − 1/6? (a) −17/42 (b) 31/42 (c) −31/42 (d) −5/13
  20. 20.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) −2/3 (c) −3/2 (d) 2/3
  21. 21.What is (−1/9) − 5/8? (a) 53/72 (b) 37/72 (c) −6/17 (d) −53/72
  22. 22.What is 1/4 + (−4/5)? (a) −1/3 (b) −11/20 (c) 21/20 (d) 11/20
  23. 23.Which is smaller: −3/7 or −4/9? (a) −4/9 (b) −3/7
  24. 24.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  25. 25.What is (−3/4) + 8/9? (a) 5/13 (b) −59/36 (c) 5/36 (d) −5/36
  26. 26.What is (−6/7) − (−4/5)? (a) −2/35 (b) −58/35 (c) 2/35 (d) −1/6
  27. 27.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −2/5 or −1/9? (a) −1/9 (b) −2/5
  29. 29.Which is bigger: −2/5 or 3/5? (a) 3/5 (b) −2/5
  30. 30.Is −8/6 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −1/8 or −3/4? (a) −1/8 (b) −3/4
  32. 32.Which is smaller: −5/9 or −8/9? (a) −5/9 (b) −8/9
  33. 33.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) 2/7 (d) −7/2
  34. 34.Which is smaller: −5/9 or −5/7? (a) −5/9 (b) −5/7
  35. 35.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  36. 36.Is −7/3 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−5/8) + (−1/9)? (a) 53/72 (b) −37/72 (c) −53/72 (d) −6/17
  38. 38.What is (−8/9) − (−2/5)? (a) 22/45 (b) −58/45 (c) −22/45 (d) −3/7
  39. 39.Write −14/18 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −14/18
  40. 40.What is (−1/4) + 3/7? (a) −5/28 (b) −19/28 (c) 2/11 (d) 5/28

Answer key

  1. −1/4
  2. 43/36
  3. 8/45
  4. 1/9
  5. 4/9
  6. Positive
  7. −2/5
  8. 4/7
  9. −7/8
  10. −5/9
  11. −2/7
  12. −17/18
  13. −2/5
  14. 31/20
  15. −19/36
  16. 1/3
  17. 3/5
  18. −1/2
  19. −31/42
  20. −2/3
  21. −53/72
  22. −11/20
  23. −4/9
  24. −8/7
  25. 5/36
  26. −2/35
  27. Negative
  28. −2/5
  29. 3/5
  30. Negative
  31. −1/8
  32. −8/9
  33. −2/7
  34. −5/7
  35. Positive
  36. Negative
  37. −53/72
  38. −22/45
  39. −7/9
  40. 5/28

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