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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 591 · 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 (−1/7) + 1/7? (a) −2/7 (b) 0
  2. 2.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  3. 3.What is (−3/4) + 1/6? (a) 7/12 (b) −11/12 (c) −1/5 (d) −7/12
  4. 4.Which is smaller: −8/9 or −4/5? (a) −4/5 (b) −8/9
  5. 5.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  6. 6.Which is smaller: −2/5 or −5/6? (a) −5/6 (b) −2/5
  7. 7.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −15/20 (b) −4/3 (c) 3/4 (d) −3/4
  8. 8.Is −4/2 positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  10. 10.Write −15/24 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −15/24 (d) −8/5
  11. 11.Write −10/45 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −10/45 (d) 2/9
  12. 12.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −15/27
  13. 13.What is 1/4 + (−5/9)? (a) 29/36 (b) −11/36 (c) 11/36 (d) −4/13
  14. 14.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −2/14 (d) −1/7
  15. 15.What is 2/5 − (−5/8)? (a) −9/40 (b) −41/40 (c) 41/40 (d) 7/13
  16. 16.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  17. 17.Is 8/5 positive or negative? (a) Negative (b) Positive
  18. 18.What is (−3/8) − (−1/3)? (a) −1/24 (b) −17/24 (c) 1/24 (d) −2/11
  19. 19.What is (−1/5) − 5/6? (a) −31/30 (b) 31/30 (c) −6/11 (d) 19/30
  20. 20.Which is smaller: −4/9 or −3/7? (a) −3/7 (b) −4/9
  21. 21.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −9/24
  22. 22.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) −4/9 (c) 4/9 (d) −9/4
  23. 23.What is (−3/5) − (−2/9)? (a) −1/14 (b) −37/45 (c) 17/45 (d) −17/45
  24. 24.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −4/14 (d) −2/7
  25. 25.What is (−7/9) + 1/2? (a) −5/18 (b) −23/18 (c) 5/18 (d) −6/11
  26. 26.What is 8/9 + (−1/3)? (a) −5/9 (b) 7/12 (c) 5/9 (d) 11/9
  27. 27.Write −6/27 in standard form (lowest terms, positive denominator). (a) −6/27 (b) −9/2 (c) 2/9 (d) −2/9
  28. 28.Which is smaller: −5/7 or −2/5? (a) −5/7 (b) −2/5
  29. 29.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −25/30 (c) −6/5 (d) 5/6
  30. 30.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −20/45 (b) −4/9 (c) −9/4 (d) 4/9
  31. 31.Which is bigger: −5/6 or −4/7? (a) −5/6 (b) −4/7
  32. 32.Which is smaller: −5/9 or 2/3? (a) 2/3 (b) −5/9
  33. 33.Which is smaller: −7/9 or −8/9? (a) −8/9 (b) −7/9
  34. 34.What is (−3/8) + (−4/5)? (a) 17/40 (b) −47/40 (c) −7/13 (d) 47/40
  35. 35.What is 5/9 − (−2/3)? (a) 7/12 (b) 11/9 (c) −11/9 (d) −1/9
  36. 36.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/16 (d) −4/1
  37. 37.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −5/15
  38. 38.What is (−5/6) − 5/9? (a) 25/18 (b) −25/18 (c) −5/18 (d) −2/3
  39. 39.What is the additive inverse of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  40. 40.Which is bigger: −6/7 or −1/4? (a) −1/4 (b) −6/7

Answer key

  1. 0
  2. −1/5
  3. −7/12
  4. −8/9
  5. 2/9
  6. −5/6
  7. −3/4
  8. Negative
  9. 9/2
  10. −5/8
  11. −2/9
  12. −5/9
  13. −11/36
  14. −1/7
  15. 41/40
  16. 7/6
  17. Positive
  18. −1/24
  19. −31/30
  20. −4/9
  21. −3/8
  22. −4/9
  23. −17/45
  24. −2/7
  25. −5/18
  26. 5/9
  27. −2/9
  28. −5/7
  29. −5/6
  30. −4/9
  31. −4/7
  32. −5/9
  33. −8/9
  34. −47/40
  35. 11/9
  36. −1/4
  37. −1/3
  38. −25/18
  39. 1/3
  40. −1/4

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