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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 801 · 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 (−4/5) + 7/9? (a) −1/45 (b) 1/45 (c) 3/14 (d) −71/45
  2. 2.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −7/3 (d) −3/7
  3. 3.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −9/15 (d) −5/3
  4. 4.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  5. 5.Which is bigger: −1/6 or −4/7? (a) −1/6 (b) −4/7
  6. 6.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  7. 7.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5
  8. 8.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  9. 9.What is 1/4 + (−1/4)? (a) 1/2 (b) 0
  10. 10.What is 5/6 − (−4/7)? (a) 59/42 (b) −59/42 (c) 11/42 (d) 9/13
  11. 11.What is 5/6 + (−4/9)? (a) 1/15 (b) 7/18 (c) −7/18 (d) 23/18
  12. 12.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  13. 13.Which is smaller: −6/7 or 2/5? (a) −6/7 (b) 2/5
  14. 14.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  15. 15.Which is smaller: −1/3 or −2/3? (a) −1/3 (b) −2/3
  16. 16.What is the additive inverse of −4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  17. 17.Which is smaller: −5/7 or −7/9? (a) −7/9 (b) −5/7
  18. 18.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −2/14 (c) −7/1 (d) −1/7
  19. 19.What is (−1/3) − 8/9? (a) 11/9 (b) 5/9 (c) −11/9 (d) −3/4
  20. 20.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) −4/9 (c) 4/9 (d) −9/4
  21. 21.Is 5/9 positive or negative? (a) Positive (b) Negative
  22. 22.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) 7/3 (c) 3/7 (d) −3/7
  23. 23.Is 7/2 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−2/7) − 6/7? (a) 4/7 (b) −4/7 (c) 8/7 (d) −8/7
  25. 25.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−5/8) + (−2/7)? (a) −7/15 (b) −51/56 (c) −19/56 (d) 51/56
  27. 27.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) −8/7 (c) 7/8 (d) 8/7
  28. 28.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  29. 29.Is −8/9 positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −3/7 or 3/5? (a) −3/7 (b) 3/5
  31. 31.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  32. 32.Is −6/5 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −1/4 or −1/5? (a) −1/5 (b) −1/4
  34. 34.What is the additive inverse of 2/7? (a) −2/7 (b) 2/7 (c) 7/2 (d) −7/2
  35. 35.Is −3/3 positive or negative? (a) Positive (b) Negative
  36. 36.Is 1/7 positive or negative? (a) Negative (b) Positive
  37. 37.What is 8/9 − (−2/9)? (a) 5/9 (b) −10/9 (c) 10/9 (d) 2/3
  38. 38.Which is smaller: −7/8 or −5/8? (a) −5/8 (b) −7/8
  39. 39.What is 2/3 − (−4/7)? (a) 2/21 (b) 3/5 (c) −26/21 (d) 26/21
  40. 40.What is (−5/6) + 4/9? (a) 7/18 (b) −23/18 (c) −1/15 (d) −7/18

Answer key

  1. −1/45
  2. −3/7
  3. −3/5
  4. 7/6
  5. −1/6
  6. −3
  7. −5
  8. −3/2
  9. 0
  10. 59/42
  11. 7/18
  12. −2
  13. −6/7
  14. Positive
  15. −2/3
  16. 4/9
  17. −7/9
  18. −1/7
  19. −11/9
  20. −4/9
  21. Positive
  22. 7/3
  23. Positive
  24. −8/7
  25. Negative
  26. −51/56
  27. 8/7
  28. 9/2
  29. Negative
  30. −3/7
  31. 2/3
  32. Negative
  33. −1/5
  34. −2/7
  35. Negative
  36. Positive
  37. 10/9
  38. −7/8
  39. 26/21
  40. −7/18

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