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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 82 · 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.What is 8/9 + (−4/5)? (a) 4/45 (b) 76/45 (c) −4/45 (d) 2/7
  2. 2.What is (−3/4) + (−5/6)? (a) 1/12 (b) 19/12 (c) −4/5 (d) −19/12
  3. 3.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −10/14
  4. 4.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −4/36
  5. 5.Is 3/3 positive or negative? (a) Positive (b) Negative
  6. 6.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  7. 7.Is 8/8 positive or negative? (a) Positive (b) Negative
  8. 8.What is the reciprocal (multiplicative inverse) of 5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  9. 9.Which is smaller: −1/9 or 3/8? (a) −1/9 (b) 3/8
  10. 10.What is (−4/9) − (−1/5)? (a) −11/45 (b) −3/14 (c) −29/45 (d) 11/45
  11. 11.What is 1/6 + (−1/8)? (a) 0 (b) 7/24 (c) 1/24 (d) −1/24
  12. 12.What is 7/9 + (−1/2)? (a) −5/18 (b) 5/18 (c) 23/18 (d) 6/11
  13. 13.Is 4/5 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−5/8) + (−8/9)? (a) 19/72 (b) 109/72 (c) −109/72 (d) −13/17
  15. 15.Is 7/9 positive or negative? (a) Negative (b) Positive
  16. 16.Write −5/10 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −5/10 (d) 1/2
  17. 17.Which is smaller: −5/9 or −5/8? (a) −5/8 (b) −5/9
  18. 18.Which is bigger: −6/7 or −1/5? (a) −1/5 (b) −6/7
  19. 19.What is (−7/8) − (−3/4)? (a) 1/8 (b) −13/8 (c) −1/3 (d) −1/8
  20. 20.Is −8/6 positive or negative? (a) Positive (b) Negative
  21. 21.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  23. 23.What is the additive inverse of 3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  24. 24.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  25. 25.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) 2/3 (c) −3/2 (d) −2/3
  26. 26.Is −9/7 positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −6/7 or −1/9? (a) −1/9 (b) −6/7
  28. 28.What is (−1/2) − 1/7? (a) −5/14 (b) −2/9 (c) −9/14 (d) 9/14
  29. 29.What is the additive inverse of 1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  30. 30.What is (−4/9) − 2/3? (a) −1/2 (b) 10/9 (c) −10/9 (d) 2/9
  31. 31.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  32. 32.What is (−1/7) + (−1/7)? (a) 0 (b) 2/7 (c) −1/7 (d) −2/7
  33. 33.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −7/5 (d) −20/28
  34. 34.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −5/7 (d) −7/5
  35. 35.What is (−5/7) − (−3/7)? (a) 2/7 (b) −8/7 (c) −2/7 (d) −1/7
  36. 36.What is 1/6 − (−2/3)? (a) 1/3 (b) 5/6 (c) −5/6 (d) −1/2
  37. 37.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  38. 38.Write −16/20 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) 4/5 (d) −16/20
  39. 39.What is (−1/7) + 2/3? (a) −17/21 (b) 11/21 (c) −11/21 (d) 1/10
  40. 40.What is (−1/3) − 7/8? (a) −8/11 (b) 29/24 (c) 13/24 (d) −29/24

Answer key

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

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