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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 332 · 40 sums
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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: −2/9 or −5/7? (a) −5/7 (b) −2/9
  2. 2.Which is bigger: −1/5 or −3/8? (a) −3/8 (b) −1/5
  3. 3.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−1/5) + 2/9? (a) 1/45 (b) −19/45 (c) −1/45 (d) 1/14
  5. 5.What is (−1/9) + 2/7? (a) −11/63 (b) −25/63 (c) 11/63 (d) 1/16
  6. 6.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 7/4 (c) 4/7 (d) −7/4
  7. 7.Is −5/(−6) positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −5/9 or −3/7? (a) −3/7 (b) −5/9
  9. 9.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −5/1 (c) 1/5 (d) −1/5
  10. 10.Which is smaller: −1/6 or 6/7? (a) 6/7 (b) −1/6
  11. 11.What is the additive inverse of −5/9? (a) −9/5 (b) −5/9 (c) 5/9 (d) 9/5
  12. 12.What is the additive inverse of 4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  13. 13.What is (−5/7) − 1/7? (a) −6/7 (b) 6/7 (c) −3/7 (d) −4/7
  14. 14.Which is bigger: −5/8 or −3/5? (a) −5/8 (b) −3/5
  15. 15.What is the additive inverse of −3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  16. 16.Which is bigger: −2/9 or 5/9? (a) −2/9 (b) 5/9
  17. 17.Which is smaller: −6/7 or −2/5? (a) −2/5 (b) −6/7
  18. 18.What is (−1/5) − (−4/5)? (a) −3/5 (b) 3/5 (c) −1 (d) 3/10
  19. 19.What is (−6/7) − (−3/8)? (a) 27/56 (b) −69/56 (c) −27/56 (d) −1/5
  20. 20.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −5/6 or 4/9? (a) 4/9 (b) −5/6
  22. 22.Which is bigger: −4/5 or −5/6? (a) −5/6 (b) −4/5
  23. 23.Which is smaller: −3/8 or −1/8? (a) −1/8 (b) −3/8
  24. 24.Which is smaller: −5/9 or −1/8? (a) −5/9 (b) −1/8
  25. 25.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  26. 26.Is 4/7 positive or negative? (a) Negative (b) Positive
  27. 27.Is 8/2 positive or negative? (a) Positive (b) Negative
  28. 28.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −18/42 (d) −7/3
  29. 29.What is (−3/8) + 3/4? (a) −9/8 (b) 3/8 (c) −3/8 (d) 0
  30. 30.Is 2/(−7) positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −7/8 or 5/8? (a) −7/8 (b) 5/8
  32. 32.Write −10/16 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −10/16 (c) −8/5 (d) 5/8
  33. 33.What is (−2/5) + 7/8? (a) −19/40 (b) −51/40 (c) 5/13 (d) 19/40
  34. 34.Which is bigger: −1/8 or −4/5? (a) −4/5 (b) −1/8
  35. 35.What is (−1/6) + 3/5? (a) −23/30 (b) 2/11 (c) 13/30 (d) −13/30
  36. 36.Is −5/6 positive or negative? (a) Negative (b) Positive
  37. 37.Which is bigger: −2/3 or 1/8? (a) −2/3 (b) 1/8
  38. 38.What is (−5/8) − 8/9? (a) 19/72 (b) 109/72 (c) −13/17 (d) −109/72
  39. 39.What is (−1/9) + (−6/7)? (a) −7/16 (b) −61/63 (c) 61/63 (d) 47/63
  40. 40.Is 2/8 positive or negative? (a) Positive (b) Negative

Answer key

  1. −2/9
  2. −1/5
  3. Negative
  4. 1/45
  5. 11/63
  6. 7/4
  7. Positive
  8. −3/7
  9. −1/5
  10. −1/6
  11. 5/9
  12. −4/5
  13. −6/7
  14. −3/5
  15. 3/5
  16. 5/9
  17. −6/7
  18. 3/5
  19. −27/56
  20. Positive
  21. −5/6
  22. −4/5
  23. −3/8
  24. −5/9
  25. Positive
  26. Positive
  27. Positive
  28. −3/7
  29. 3/8
  30. Negative
  31. 5/8
  32. −5/8
  33. 19/40
  34. −1/8
  35. 13/30
  36. Negative
  37. 1/8
  38. −109/72
  39. −61/63
  40. Positive

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