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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 288 · 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) − 4/7? (a) −5/14 (b) 3/7 (c) 5/7 (d) −5/7
  2. 2.Write −30/54 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −30/54 (d) 5/9
  3. 3.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  4. 4.What is (−2/3) − 4/7? (a) 26/21 (b) −2/21 (c) −3/5 (d) −26/21
  5. 5.What is (−1/2) + (−5/8)? (a) 1/8 (b) 9/8 (c) −3/5 (d) −9/8
  6. 6.What is 1/9 + (−1/6)? (a) 1/18 (b) 5/18 (c) 0 (d) −1/18
  7. 7.What is (−2/3) + (−1/6)? (a) −1/3 (b) −1/2 (c) −5/6 (d) 5/6
  8. 8.Which is bigger: −5/7 or 1/7? (a) −5/7 (b) 1/7
  9. 9.What is the additive inverse of 3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  10. 10.Which is bigger: −5/7 or −2/7? (a) −2/7 (b) −5/7
  11. 11.What is (−1/3) + 1/4? (a) 0 (b) 1/12 (c) −7/12 (d) −1/12
  12. 12.Which is bigger: −5/8 or −2/3? (a) −5/8 (b) −2/3
  13. 13.What is (−5/7) − (−1/6)? (a) 23/42 (b) −37/42 (c) −23/42 (d) −4/13
  14. 14.Which is smaller: −1/3 or −5/6? (a) −5/6 (b) −1/3
  15. 15.What is (−1/3) − (−3/7)? (a) 1/5 (b) 2/21 (c) −2/21 (d) −16/21
  16. 16.What is (−1/4) + 5/9? (a) 11/36 (b) −29/36 (c) 4/13 (d) −11/36
  17. 17.What is (−1/6) + 7/9? (a) 2/5 (b) −11/18 (c) −17/18 (d) 11/18
  18. 18.What is (−2/7) − 1/8? (a) 23/56 (b) −9/56 (c) −1/5 (d) −23/56
  19. 19.Which is smaller: −1/2 or −5/7? (a) −1/2 (b) −5/7
  20. 20.What is (−5/7) + (−3/4)? (a) −8/11 (b) −41/28 (c) 41/28 (d) 1/28
  21. 21.Which is smaller: −3/5 or −1/8? (a) −1/8 (b) −3/5
  22. 22.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  23. 23.What is 7/9 + (−3/5)? (a) 62/45 (b) 8/45 (c) 2/7 (d) −8/45
  24. 24.Which is bigger: −1/8 or −6/7? (a) −6/7 (b) −1/8
  25. 25.What is (−8/9) − 3/5? (a) −67/45 (b) −13/45 (c) 67/45 (d) −11/14
  26. 26.What is 4/7 − (−1/2)? (a) −15/14 (b) 15/14 (c) 5/9 (d) 1/14
  27. 27.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  28. 28.Which is smaller: −4/7 or 5/6? (a) 5/6 (b) −4/7
  29. 29.Which is smaller: −1/6 or 3/4? (a) 3/4 (b) −1/6
  30. 30.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −5/7 or −8/9? (a) −8/9 (b) −5/7
  32. 32.What is (−2/3) − 5/6? (a) −3/2 (b) 1/6 (c) 3/2 (d) −7/9
  33. 33.Which is smaller: −1/5 or −2/5? (a) −2/5 (b) −1/5
  34. 34.Is −6/2 positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −7/9 or 4/9? (a) −7/9 (b) 4/9
  36. 36.What is (−5/6) − (−3/8)? (a) 11/24 (b) −11/24 (c) −1/7 (d) −29/24
  37. 37.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−3/8) − 4/9? (a) −7/17 (b) −59/72 (c) 5/72 (d) 59/72
  39. 39.Is −8/6 positive or negative? (a) Positive (b) Negative
  40. 40.Is 7/(−9) positive or negative? (a) Positive (b) Negative

Answer key

  1. −5/7
  2. −5/9
  3. −7/3
  4. −26/21
  5. −9/8
  6. −1/18
  7. −5/6
  8. 1/7
  9. −3/4
  10. −2/7
  11. −1/12
  12. −5/8
  13. −23/42
  14. −5/6
  15. 2/21
  16. 11/36
  17. 11/18
  18. −23/56
  19. −5/7
  20. −41/28
  21. −3/5
  22. −6
  23. 8/45
  24. −1/8
  25. −67/45
  26. 15/14
  27. 9/4
  28. −4/7
  29. −1/6
  30. Positive
  31. −5/7
  32. −3/2
  33. −2/5
  34. Negative
  35. −7/9
  36. −11/24
  37. Negative
  38. −59/72
  39. Negative
  40. Negative

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