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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 309 · 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 6/7 − (−3/4)? (a) 45/28 (b) 9/11 (c) −45/28 (d) 3/28
  2. 2.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  3. 3.Which is smaller: −2/7 or 3/8? (a) 3/8 (b) −2/7
  4. 4.What is the additive inverse of −5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  5. 5.Is −9/4 positive or negative? (a) Negative (b) Positive
  6. 6.What is 4/5 − (−1/9)? (a) 41/45 (b) −41/45 (c) 31/45 (d) 5/14
  7. 7.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −30/54 (d) −9/5
  8. 8.What is (−4/7) − 1/2? (a) −5/9 (b) 15/14 (c) −1/14 (d) −15/14
  9. 9.Which is bigger: −4/7 or 2/7? (a) −4/7 (b) 2/7
  10. 10.What is (−7/8) − 7/8? (a) 0 (b) −7/8 (c) −7/4 (d) 7/4
  11. 11.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  12. 12.What is (−2/7) − (−8/9)? (a) 3/8 (b) −74/63 (c) 38/63 (d) −38/63
  13. 13.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  14. 14.What is the additive inverse of 5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  15. 15.Which is smaller: −1/5 or 2/3? (a) −1/5 (b) 2/3
  16. 16.What is (−8/9) + (−2/9)? (a) −10/9 (b) −5/9 (c) −2/3 (d) 10/9
  17. 17.What is (−4/5) + 3/8? (a) 17/40 (b) −47/40 (c) −1/13 (d) −17/40
  18. 18.What is (−5/6) − (−5/9)? (a) 0 (b) 5/18 (c) −25/18 (d) −5/18
  19. 19.What is 4/9 + (−1/6)? (a) −5/18 (b) 5/18 (c) 1/5 (d) 11/18
  20. 20.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  21. 21.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  22. 22.Which is smaller: −1/8 or −1/5? (a) −1/8 (b) −1/5
  23. 23.What is (−3/8) + (−1/9)? (a) 35/72 (b) −19/72 (c) −35/72 (d) −4/17
  24. 24.What is 3/4 − (−3/7)? (a) 33/28 (b) 9/28 (c) 6/11 (d) −33/28
  25. 25.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  26. 26.What is (−1/2) + (−1/3)? (a) −1/6 (b) −2/5 (c) 5/6 (d) −5/6
  27. 27.What is 1/4 + (−2/3)? (a) −5/12 (b) 11/12 (c) 5/12 (d) −1/7
  28. 28.Which is smaller: −1/6 or 1/9? (a) 1/9 (b) −1/6
  29. 29.Which is smaller: −1/6 or −7/8? (a) −7/8 (b) −1/6
  30. 30.Which is bigger: −2/5 or −8/9? (a) −2/5 (b) −8/9
  31. 31.Which is smaller: −1/9 or −2/3? (a) −1/9 (b) −2/3
  32. 32.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −2/18 (b) −9/1 (c) −1/9 (d) 1/9
  33. 33.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  34. 34.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −10/18
  35. 35.What is 6/7 − (−2/9)? (a) 40/63 (b) 68/63 (c) −68/63 (d) 1/2
  36. 36.What is (−8/9) − 1/3? (a) −11/9 (b) −5/9 (c) −3/4 (d) 11/9
  37. 37.Which is smaller: −3/8 or −2/7? (a) −3/8 (b) −2/7
  38. 38.What is (−3/8) + (−1/3)? (a) −1/24 (b) −4/11 (c) −17/24 (d) 17/24
  39. 39.Which is smaller: −4/5 or 2/3? (a) 2/3 (b) −4/5
  40. 40.What is (−4/9) − 2/7? (a) −3/8 (b) 46/63 (c) −46/63 (d) −10/63

Answer key

  1. 45/28
  2. −5/3
  3. −2/7
  4. 5/8
  5. Negative
  6. 41/45
  7. −5/9
  8. −15/14
  9. 2/7
  10. −7/4
  11. 5/4
  12. 38/63
  13. 9/5
  14. −5/9
  15. −1/5
  16. −10/9
  17. −17/40
  18. −5/18
  19. 5/18
  20. Negative
  21. −2/5
  22. −1/5
  23. −35/72
  24. 33/28
  25. −3/4
  26. −5/6
  27. −5/12
  28. −1/6
  29. −7/8
  30. −2/5
  31. −2/3
  32. −1/9
  33. −2/5
  34. −5/9
  35. 68/63
  36. −11/9
  37. −3/8
  38. −17/24
  39. −4/5
  40. −46/63

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