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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 592 · 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 (−4/7) + 1/3? (a) −3/10 (b) 5/21 (c) −5/21 (d) −19/21
  2. 2.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −15/18 (d) −6/5
  3. 3.Which is bigger: −7/8 or −5/9? (a) −7/8 (b) −5/9
  4. 4.Which is smaller: −2/3 or −5/7? (a) −5/7 (b) −2/3
  5. 5.What is 2/7 − (−5/9)? (a) −53/63 (b) 53/63 (c) 7/16 (d) −17/63
  6. 6.What is (−3/4) + 1/9? (a) −23/36 (b) 23/36 (c) −2/13 (d) −31/36
  7. 7.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  8. 8.What is (−1/4) − (−5/7)? (a) −27/28 (b) 4/11 (c) 13/28 (d) −13/28
  9. 9.What is (−5/9) − 5/9? (a) −5/9 (b) 0 (c) −10/9 (d) 10/9
  10. 10.Which is bigger: −5/6 or −8/9? (a) −8/9 (b) −5/6
  11. 11.Which is bigger: −3/5 or 5/8? (a) −3/5 (b) 5/8
  12. 12.What is the additive inverse of −1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  13. 13.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −28/36
  14. 14.Which is smaller: −4/7 or −2/5? (a) −4/7 (b) −2/5
  15. 15.Is −6/6 positive or negative? (a) Positive (b) Negative
  16. 16.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  17. 17.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  18. 18.What is (−1/9) + 1/5? (a) −4/45 (b) −14/45 (c) 4/45 (d) 0
  19. 19.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  20. 20.Which is smaller: −1/9 or −3/5? (a) −3/5 (b) −1/9
  21. 21.Is 1/8 positive or negative? (a) Negative (b) Positive
  22. 22.Which is smaller: −2/5 or 3/7? (a) 3/7 (b) −2/5
  23. 23.What is 2/9 + (−5/8)? (a) −3/17 (b) 61/72 (c) −29/72 (d) 29/72
  24. 24.What is 3/5 + (−5/8)? (a) −2/13 (b) 49/40 (c) 1/40 (d) −1/40
  25. 25.What is (−3/7) + 1/3? (a) −1/5 (b) −2/21 (c) 2/21 (d) −16/21
  26. 26.What is 4/9 + (−4/7)? (a) 0 (b) 8/63 (c) −8/63 (d) 64/63
  27. 27.What is (−2/9) + 2/3? (a) 0 (b) 4/9 (c) −8/9 (d) −4/9
  28. 28.What is the additive inverse of −2/7? (a) −7/2 (b) −2/7 (c) 2/7 (d) 7/2
  29. 29.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −24/28
  30. 30.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −6/9 (b) −2/3 (c) 2/3 (d) −3/2
  31. 31.Which is bigger: −3/8 or −1/9? (a) −1/9 (b) −3/8
  32. 32.What is 6/7 + (−8/9)? (a) −1/8 (b) −2/63 (c) 2/63 (d) 110/63
  33. 33.Write −15/27 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −15/27
  34. 34.Which is bigger: −5/7 or 1/5? (a) 1/5 (b) −5/7
  35. 35.Which is smaller: −2/3 or 5/7? (a) 5/7 (b) −2/3
  36. 36.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −3/8 or −4/7? (a) −4/7 (b) −3/8
  38. 38.What is (−8/9) − 8/9? (a) −16/9 (b) −8/9 (c) 0 (d) 16/9
  39. 39.What is (−5/9) + 1/6? (a) 7/18 (b) −7/18 (c) −4/15 (d) −13/18
  40. 40.What is (−1/3) − 3/7? (a) −16/21 (b) 2/21 (c) −2/5 (d) 16/21

Answer key

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

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