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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 393 · 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.Is −4/6 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−3/8) + (−4/7)? (a) 53/56 (b) 11/56 (c) −53/56 (d) −7/15
  3. 3.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  5. 5.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −1/5 (d) −5/1
  6. 6.What is 3/5 + (−3/7)? (a) 36/35 (b) 0 (c) 6/35 (d) −6/35
  7. 7.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  8. 8.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −30/54 (c) −5/9 (d) 5/9
  9. 9.What is the additive inverse of −4/7? (a) −7/4 (b) 4/7 (c) 7/4 (d) −4/7
  10. 10.Which is bigger: −1/8 or −3/5? (a) −1/8 (b) −3/5
  11. 11.What is 1/7 − (−5/6)? (a) 6/13 (b) 41/42 (c) −41/42 (d) −29/42
  12. 12.Which is bigger: −3/5 or 2/7? (a) −3/5 (b) 2/7
  13. 13.What is 1/8 + (−2/3)? (a) 19/24 (b) −1/11 (c) −13/24 (d) 13/24
  14. 14.Which is bigger: −2/7 or −4/7? (a) −4/7 (b) −2/7
  15. 15.Which is bigger: −4/5 or −1/9? (a) −1/9 (b) −4/5
  16. 16.What is (−1/6) − 1/5? (a) 1/30 (b) 11/30 (c) −2/11 (d) −11/30
  17. 17.Write −25/45 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −25/45 (c) −5/9 (d) −9/5
  18. 18.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  19. 19.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  20. 20.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  21. 21.What is 3/7 − (−1/8)? (a) 31/56 (b) −31/56 (c) 17/56 (d) 4/15
  22. 22.What is 1/6 − (−5/9)? (a) −7/18 (b) 2/5 (c) −13/18 (d) 13/18
  23. 23.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  24. 24.What is (−1/7) − (−1/6)? (a) −1/42 (b) −13/42 (c) 1/42 (d) 0
  25. 25.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −6/10 (b) −5/3 (c) −3/5 (d) 3/5
  26. 26.What is (−2/7) − (−1/8)? (a) −9/56 (b) 9/56 (c) −1/15 (d) −23/56
  27. 27.What is 1/7 − (−7/8)? (a) −57/56 (b) 57/56 (c) 8/15 (d) −41/56
  28. 28.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −4/10 (b) 2/5 (c) −2/5 (d) −5/2
  29. 29.What is 2/9 + (−1/7)? (a) 5/63 (b) −5/63 (c) 1/16 (d) 23/63
  30. 30.What is the additive inverse of −1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  31. 31.Which is smaller: −7/9 or −6/7? (a) −7/9 (b) −6/7
  32. 32.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −6/14 (d) 3/7
  33. 33.What is (−1/8) − (−1/6)? (a) 0 (b) −7/24 (c) −1/24 (d) 1/24
  34. 34.Write −3/15 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −3/15 (d) 1/5
  35. 35.Which is bigger: −1/3 or 5/7? (a) −1/3 (b) 5/7
  36. 36.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  37. 37.What is 5/8 − (−4/9)? (a) −77/72 (b) 9/17 (c) 13/72 (d) 77/72
  38. 38.Which is bigger: −1/8 or −1/3? (a) −1/3 (b) −1/8
  39. 39.Is 2/4 positive or negative? (a) Positive (b) Negative
  40. 40.Is −8/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. Negative
  2. −53/56
  3. Negative
  4. −1/3
  5. −1/5
  6. 6/35
  7. Positive
  8. −5/9
  9. 4/7
  10. −1/8
  11. 41/42
  12. 2/7
  13. −13/24
  14. −2/7
  15. −1/9
  16. −11/30
  17. −5/9
  18. 9
  19. Negative
  20. −4
  21. 31/56
  22. 13/18
  23. −7/5
  24. 1/42
  25. −3/5
  26. −9/56
  27. 57/56
  28. −2/5
  29. 5/63
  30. 1/7
  31. −6/7
  32. −3/7
  33. 1/24
  34. −1/5
  35. 5/7
  36. Positive
  37. 77/72
  38. −1/8
  39. Positive
  40. Negative

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