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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 944 · 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.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −6/12 (b) 1/2 (c) −2/1 (d) −1/2
  2. 2.What is 5/7 + (−3/4)? (a) 41/28 (b) −1/28 (c) 1/28 (d) 2/11
  3. 3.Write −20/35 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −7/4 (d) −20/35
  4. 4.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −7/5 (d) −5/7
  5. 5.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −2/9 (d) −6/27
  6. 6.What is 2/5 − (−7/8)? (a) −19/40 (b) −51/40 (c) 9/13 (d) 51/40
  7. 7.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  8. 8.What is (−3/4) + (−3/7)? (a) 33/28 (b) −6/11 (c) −9/28 (d) −33/28
  9. 9.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 5/8 (d) 8/5
  10. 10.Which is smaller: −5/6 or −2/9? (a) −2/9 (b) −5/6
  11. 11.What is (−2/5) − (−5/8)? (a) 9/40 (b) −41/40 (c) −9/40 (d) 3/13
  12. 12.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  13. 13.What is (−2/9) + (−5/7)? (a) 31/63 (b) −59/63 (c) −7/16 (d) 59/63
  14. 14.What is (−2/9) − 7/9? (a) −1/2 (b) 1 (c) −1 (d) 5/9
  15. 15.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  16. 16.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −6/10
  17. 17.Is −2/(−9) positive or negative? (a) Positive (b) Negative
  18. 18.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  19. 19.Is −4/4 positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  21. 21.Which is bigger: −1/5 or −2/7? (a) −2/7 (b) −1/5
  22. 22.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) −2/7 (d) 2/7
  23. 23.Is −3/9 positive or negative? (a) Positive (b) Negative
  24. 24.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  25. 25.Which is smaller: −5/7 or 3/4? (a) −5/7 (b) 3/4
  26. 26.What is (−8/9) + 1/2? (a) −25/18 (b) −7/18 (c) 7/18 (d) −7/11
  27. 27.What is (−5/8) − (−8/9)? (a) −109/72 (b) 3/17 (c) −19/72 (d) 19/72
  28. 28.What is the additive inverse of −1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  29. 29.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −8/12 (d) 2/3
  30. 30.Is −9/4 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −7/9 or −6/7? (a) −6/7 (b) −7/9
  32. 32.Is 3/6 positive or negative? (a) Positive (b) Negative
  33. 33.What is 2/5 + (−5/8)? (a) −3/13 (b) 9/40 (c) −9/40 (d) 41/40
  34. 34.Which is smaller: −1/6 or −4/7? (a) −4/7 (b) −1/6
  35. 35.Which is bigger: −2/9 or −1/2? (a) −2/9 (b) −1/2
  36. 36.What is 5/6 + (−5/6)? (a) 0 (b) 5/3
  37. 37.Which is smaller: −1/9 or 1/3? (a) −1/9 (b) 1/3
  38. 38.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −30/48 (c) −5/8 (d) 5/8
  39. 39.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  40. 40.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −3/2 (d) −2/3

Answer key

  1. −1/2
  2. −1/28
  3. −4/7
  4. −5/7
  5. −2/9
  6. 51/40
  7. Positive
  8. −33/28
  9. 8/5
  10. −5/6
  11. 9/40
  12. −1/2
  13. −59/63
  14. −1
  15. −3/8
  16. −3/5
  17. Positive
  18. Negative
  19. Negative
  20. 3/4
  21. −1/5
  22. −2/7
  23. Negative
  24. Negative
  25. −5/7
  26. −7/18
  27. 19/72
  28. 1/4
  29. −2/3
  30. Negative
  31. −7/9
  32. Positive
  33. −9/40
  34. −4/7
  35. −2/9
  36. 0
  37. −1/9
  38. −5/8
  39. Negative
  40. −2/3

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