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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 318 · 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 −24/54 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −24/54
  2. 2.What is (−7/8) − 2/9? (a) −47/72 (b) 79/72 (c) −79/72 (d) −9/17
  3. 3.What is 5/6 − (−1/4)? (a) 3/5 (b) −13/12 (c) 7/12 (d) 13/12
  4. 4.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −12/30
  5. 5.What is 2/3 + (−1/3)? (a) 1/3 (b) −1/3 (c) 1/6 (d) 1
  6. 6.What is (−1/2) − 4/5? (a) −5/7 (b) 3/10 (c) 13/10 (d) −13/10
  7. 7.What is (−2/5) + 3/5? (a) −1 (b) −1/5 (c) 1/5 (d) 1/10
  8. 8.Is 3/5 positive or negative? (a) Negative (b) Positive
  9. 9.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  10. 10.What is (−8/9) + (−1/2)? (a) 25/18 (b) −25/18 (c) −9/11 (d) −7/18
  11. 11.Is 6/9 positive or negative? (a) Negative (b) Positive
  12. 12.What is 1/4 + (−7/8)? (a) −5/8 (b) 9/8 (c) 5/8 (d) −1/2
  13. 13.Is −1/8 positive or negative? (a) Negative (b) Positive
  14. 14.What is 8/9 + (−6/7)? (a) 1/8 (b) −2/63 (c) 110/63 (d) 2/63
  15. 15.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −15/27 (c) −9/5 (d) −5/9
  16. 16.What is (−1/9) − (−5/9)? (a) 2/9 (b) −2/3 (c) −4/9 (d) 4/9
  17. 17.Is −6/5 positive or negative? (a) Positive (b) Negative
  18. 18.Write −6/9 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −6/9 (c) 2/3 (d) −3/2
  19. 19.Which is smaller: −5/6 or −2/7? (a) −2/7 (b) −5/6
  20. 20.What is 3/5 + (−7/9)? (a) 8/45 (b) 62/45 (c) −8/45 (d) −2/7
  21. 21.What is 5/6 − (−5/9)? (a) 25/18 (b) −25/18 (c) 5/18 (d) 2/3
  22. 22.What is 1/7 + (−1/4)? (a) 0 (b) 3/28 (c) 11/28 (d) −3/28
  23. 23.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) −9/7 (c) 9/7 (d) 7/9
  24. 24.What is (−5/6) + 4/7? (a) −59/42 (b) −11/42 (c) −1/13 (d) 11/42
  25. 25.What is 1/6 + (−1/6)? (a) 0 (b) 1/3
  26. 26.Which is smaller: −3/7 or 2/5? (a) −3/7 (b) 2/5
  27. 27.What is 2/7 + (−5/6)? (a) 47/42 (b) −23/42 (c) −3/13 (d) 23/42
  28. 28.What is 4/7 − (−1/9)? (a) 29/63 (b) −43/63 (c) 43/63 (d) 5/16
  29. 29.What is 7/9 − (−2/3)? (a) 3/4 (b) 1/9 (c) 13/9 (d) −13/9
  30. 30.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  31. 31.Write −2/16 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −2/16 (c) −8/1 (d) 1/8
  32. 32.Which is smaller: −3/8 or −1/7? (a) −1/7 (b) −3/8
  33. 33.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  34. 34.What is (−3/4) − 8/9? (a) 5/36 (b) −59/36 (c) 59/36 (d) −11/13
  35. 35.What is the additive inverse of −5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  36. 36.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  37. 37.Write −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) 2/9 (d) −2/9
  38. 38.What is (−2/5) − 7/8? (a) 19/40 (b) 51/40 (c) −51/40 (d) −9/13
  39. 39.What is 7/9 + (−3/8)? (a) 4/17 (b) 83/72 (c) −29/72 (d) 29/72
  40. 40.What is 1/9 + (−4/9)? (a) −1/6 (b) 5/9 (c) 1/3 (d) −1/3

Answer key

  1. −4/9
  2. −79/72
  3. 13/12
  4. −2/5
  5. 1/3
  6. −13/10
  7. 1/5
  8. Positive
  9. 1/4
  10. −25/18
  11. Positive
  12. −5/8
  13. Negative
  14. 2/63
  15. −5/9
  16. 4/9
  17. Negative
  18. −2/3
  19. −5/6
  20. −8/45
  21. 25/18
  22. −3/28
  23. 9/7
  24. −11/42
  25. 0
  26. −3/7
  27. −23/42
  28. 43/63
  29. 13/9
  30. −5/4
  31. −1/8
  32. −3/8
  33. 8/3
  34. −59/36
  35. 5/6
  36. −3
  37. −2/9
  38. −51/40
  39. 29/72
  40. −1/3

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