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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 227 · 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.Which is smaller: −1/6 or 4/7? (a) 4/7 (b) −1/6
  2. 2.What is (−3/8) − (−1/8)? (a) −1/8 (b) −1/2 (c) 1/4 (d) −1/4
  3. 3.What is (−3/8) + 2/5? (a) 1/40 (b) −1/40 (c) −31/40 (d) −1/13
  4. 4.What is (−2/3) − 5/7? (a) −7/10 (b) −29/21 (c) 29/21 (d) 1/21
  5. 5.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −2/8
  6. 6.What is 1/9 + (−1/7)? (a) 16/63 (b) 2/63 (c) 0 (d) −2/63
  7. 7.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  8. 8.What is (−3/7) + 1/2? (a) −1/14 (b) −2/9 (c) 1/14 (d) −13/14
  9. 9.Which is bigger: −3/7 or −3/4? (a) −3/4 (b) −3/7
  10. 10.What is (−1/2) − 5/8? (a) −3/5 (b) 9/8 (c) 1/8 (d) −9/8
  11. 11.What is (−1/2) + 1/4? (a) −1/4 (b) 0 (c) −3/4 (d) 1/4
  12. 12.Is −1/5 positive or negative? (a) Positive (b) Negative
  13. 13.What is 2/3 + (−1/3)? (a) 1 (b) 1/6 (c) 1/3 (d) −1/3
  14. 14.What is (−1/9) + 3/4? (a) −31/36 (b) 23/36 (c) 2/13 (d) −23/36
  15. 15.What is the additive inverse of −3/7? (a) −7/3 (b) 3/7 (c) −3/7 (d) 7/3
  16. 16.Write −15/25 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −15/25 (d) −3/5
  17. 17.What is (−2/9) − 1/4? (a) −3/13 (b) 17/36 (c) −17/36 (d) 1/36
  18. 18.Which is smaller: −3/7 or 6/7? (a) −3/7 (b) 6/7
  19. 19.What is (−7/8) − (−1/6)? (a) −25/24 (b) 17/24 (c) −3/7 (d) −17/24
  20. 20.Write −4/6 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −4/6 (d) 2/3
  21. 21.What is 3/5 + (−7/8)? (a) −4/13 (b) 11/40 (c) −11/40 (d) 59/40
  22. 22.What is 3/8 − (−1/2)? (a) −1/8 (b) 2/5 (c) −7/8 (d) 7/8
  23. 23.What is 6/7 − (−4/7)? (a) 5/7 (b) 2/7 (c) 10/7 (d) −10/7
  24. 24.Write −5/15 in standard form (lowest terms, positive denominator). (a) −5/15 (b) 1/3 (c) −1/3 (d) −3/1
  25. 25.Write −25/40 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −25/40 (d) −8/5
  26. 26.What is 4/7 + (−4/9)? (a) 8/63 (b) 64/63 (c) −8/63 (d) 0
  27. 27.Which is bigger: −8/9 or −1/3? (a) −1/3 (b) −8/9
  28. 28.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −4/10 (d) −2/5
  29. 29.Which is bigger: −1/4 or 8/9? (a) 8/9 (b) −1/4
  30. 30.Which is smaller: −1/9 or −1/8? (a) −1/8 (b) −1/9
  31. 31.Which is bigger: −4/5 or −3/5? (a) −3/5 (b) −4/5
  32. 32.What is 3/4 − (−4/5)? (a) −31/20 (b) −1/20 (c) 31/20 (d) 7/9
  33. 33.Which is smaller: −3/7 or 2/7? (a) 2/7 (b) −3/7
  34. 34.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  35. 35.What is (−1/9) + 2/9? (a) −1/3 (b) 1/18 (c) 1/9 (d) −1/9
  36. 36.What is 4/7 + (−5/6)? (a) −1/13 (b) 11/42 (c) 59/42 (d) −11/42
  37. 37.What is the additive inverse of −2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  38. 38.What is (−5/8) + 1/4? (a) −1/3 (b) 3/8 (c) −7/8 (d) −3/8
  39. 39.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  40. 40.What is (−1/5) + (−1/7)? (a) −1/6 (b) −12/35 (c) 12/35 (d) −2/35

Answer key

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

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