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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 481 · 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 (−3/7) + 3/8? (a) −45/56 (b) −3/56 (c) 3/56 (d) 0
  2. 2.Which is bigger: −2/5 or −1/5? (a) −2/5 (b) −1/5
  3. 3.Which is bigger: −8/9 or 2/9? (a) −8/9 (b) 2/9
  4. 4.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  5. 5.What is (−5/8) + (−2/3)? (a) 1/24 (b) −31/24 (c) 31/24 (d) −7/11
  6. 6.Is 4/4 positive or negative? (a) Positive (b) Negative
  7. 7.What is the additive inverse of −5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  8. 8.What is (−2/7) − (−1/5)? (a) −17/35 (b) −1/12 (c) 3/35 (d) −3/35
  9. 9.Which is smaller: −1/4 or −5/8? (a) −5/8 (b) −1/4
  10. 10.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  11. 11.What is (−1/7) + (−1/5)? (a) 12/35 (b) −1/6 (c) −12/35 (d) 2/35
  12. 12.Write −12/54 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −12/54 (c) 2/9 (d) −2/9
  13. 13.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −1/9 or 5/7? (a) −1/9 (b) 5/7
  15. 15.Which is bigger: −4/5 or −4/7? (a) −4/7 (b) −4/5
  16. 16.What is (−7/9) + 7/8? (a) 0 (b) −7/72 (c) 7/72 (d) −119/72
  17. 17.Write −16/36 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −16/36 (c) −9/4 (d) −4/9
  18. 18.Which is bigger: −7/8 or −4/5? (a) −4/5 (b) −7/8
  19. 19.Is 8/6 positive or negative? (a) Negative (b) Positive
  20. 20.Which is smaller: −3/8 or −7/9? (a) −7/9 (b) −3/8
  21. 21.Is 4/8 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−3/5) − 3/5? (a) −6/5 (b) −3/5 (c) 0 (d) 6/5
  23. 23.What is 1/4 + (−7/9)? (a) −19/36 (b) −6/13 (c) 19/36 (d) 37/36
  24. 24.What is (−1/2) − 1/4? (a) −3/4 (b) 3/4 (c) −1/3 (d) −1/4
  25. 25.Which is bigger: −2/9 or −3/5? (a) −3/5 (b) −2/9
  26. 26.Which is bigger: −4/7 or −8/9? (a) −8/9 (b) −4/7
  27. 27.Which is smaller: −5/9 or −4/7? (a) −4/7 (b) −5/9
  28. 28.What is (−2/7) + 5/6? (a) −23/42 (b) 3/13 (c) −47/42 (d) 23/42
  29. 29.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −2/3 (d) −3/2
  30. 30.What is 3/5 + (−5/6)? (a) −2/11 (b) −7/30 (c) 43/30 (d) 7/30
  31. 31.What is 1/4 + (−3/7)? (a) −2/11 (b) 5/28 (c) −5/28 (d) 19/28
  32. 32.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −3/9
  33. 33.Which is bigger: −2/5 or −1/7? (a) −1/7 (b) −2/5
  34. 34.Which is smaller: −4/9 or −4/5? (a) −4/5 (b) −4/9
  35. 35.What is 5/8 − (−1/3)? (a) 7/24 (b) 23/24 (c) −23/24 (d) 6/11
  36. 36.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  37. 37.Is −9/4 positive or negative? (a) Positive (b) Negative
  38. 38.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 1/2 (c) 2 (d) −2
  39. 39.What is (−1/5) + (−1/3)? (a) −1/4 (b) 8/15 (c) 2/15 (d) −8/15
  40. 40.Which is bigger: −1/3 or −1/4? (a) −1/3 (b) −1/4

Answer key

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

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