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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 881 · 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 bigger: −3/7 or −1/4? (a) −3/7 (b) −1/4
  2. 2.Which is bigger: −1/7 or −5/6? (a) −1/7 (b) −5/6
  3. 3.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) −5/2 (c) 2/5 (d) −2/5
  4. 4.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −2/12
  5. 5.Which is bigger: −1/3 or −3/7? (a) −3/7 (b) −1/3
  6. 6.What is (−3/8) − 3/7? (a) 45/56 (b) −2/5 (c) −45/56 (d) 3/56
  7. 7.What is 1/3 − (−2/9)? (a) −5/9 (b) 1/4 (c) 1/9 (d) 5/9
  8. 8.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −1/5 or 1/4? (a) 1/4 (b) −1/5
  10. 10.Is −3/(−9) positive or negative? (a) Positive (b) Negative
  11. 11.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −10/14 (c) −7/5 (d) −5/7
  12. 12.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  13. 13.Which is bigger: −3/5 or −3/4? (a) −3/5 (b) −3/4
  14. 14.What is (−3/4) + (−3/8)? (a) −3/8 (b) 9/8 (c) −1/2 (d) −9/8
  15. 15.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  16. 16.Is 1/(−9) positive or negative? (a) Negative (b) Positive
  17. 17.Which is smaller: −5/9 or −3/8? (a) −3/8 (b) −5/9
  18. 18.Write −5/10 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) 1/2 (d) −5/10
  19. 19.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −1/3 (d) −3/1
  20. 20.Which is smaller: −3/8 or −1/2? (a) −1/2 (b) −3/8
  21. 21.Write −12/21 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −12/21 (c) −7/4 (d) −4/7
  22. 22.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −9/12 (d) −3/4
  23. 23.Which is bigger: −4/5 or −3/4? (a) −4/5 (b) −3/4
  24. 24.What is (−3/7) − (−1/6)? (a) −11/42 (b) −25/42 (c) 11/42 (d) −2/13
  25. 25.What is 2/9 − (−7/8)? (a) 79/72 (b) −47/72 (c) 9/17 (d) −79/72
  26. 26.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  27. 27.What is 1/3 − (−1/8)? (a) −11/24 (b) 2/11 (c) 5/24 (d) 11/24
  28. 28.What is the additive inverse of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  29. 29.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−4/5) − 3/7? (a) −13/35 (b) −7/12 (c) −43/35 (d) 43/35
  31. 31.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−2/3) − (−2/3)? (a) −4/3 (b) 0
  33. 33.What is (−2/9) + (−1/2)? (a) −13/18 (b) −3/11 (c) 5/18 (d) 13/18
  34. 34.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −25/35 (c) −5/7 (d) −7/5
  35. 35.Which is smaller: −2/9 or −3/4? (a) −2/9 (b) −3/4
  36. 36.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  37. 37.What is (−3/8) − (−3/7)? (a) −3/56 (b) 0 (c) 3/56 (d) −45/56
  38. 38.Is −7/4 positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −4/7 or −1/3? (a) −1/3 (b) −4/7
  40. 40.Which is bigger: −2/9 or −1/7? (a) −2/9 (b) −1/7

Answer key

  1. −1/4
  2. −1/7
  3. −2/5
  4. −1/6
  5. −1/3
  6. −45/56
  7. 5/9
  8. Negative
  9. −1/5
  10. Positive
  11. −5/7
  12. Positive
  13. −3/5
  14. −9/8
  15. −3/8
  16. Negative
  17. −5/9
  18. −1/2
  19. −1/3
  20. −1/2
  21. −4/7
  22. −3/4
  23. −3/4
  24. −11/42
  25. 79/72
  26. 7/8
  27. 11/24
  28. −1/3
  29. Negative
  30. −43/35
  31. Negative
  32. 0
  33. −13/18
  34. −5/7
  35. −3/4
  36. 6/5
  37. 3/56
  38. Negative
  39. −1/3
  40. −1/7

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