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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 599 · 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 (−5/9) + (−1/9)? (a) −1/3 (b) 2/3 (c) −4/9 (d) −2/3
  2. 2.Is −9/8 positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −1/8 or 1/7? (a) 1/7 (b) −1/8
  4. 4.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  5. 5.What is (−8/9) − 1/5? (a) 49/45 (b) −9/14 (c) −49/45 (d) −31/45
  6. 6.Which is smaller: −5/7 or −1/3? (a) −1/3 (b) −5/7
  7. 7.What is 1/3 − (−5/7)? (a) 3/5 (b) −8/21 (c) 22/21 (d) −22/21
  8. 8.What is 2/5 − (−1/6)? (a) 3/11 (b) 17/30 (c) −17/30 (d) 7/30
  9. 9.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  10. 10.What is (−2/9) + 1/6? (a) 1/18 (b) −7/18 (c) −1/15 (d) −1/18
  11. 11.What is 3/4 − (−4/9)? (a) 11/36 (b) 43/36 (c) −43/36 (d) 7/13
  12. 12.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) 9/8 (c) −8/9 (d) −9/8
  13. 13.What is the additive inverse of 4/5? (a) 4/5 (b) −5/4 (c) −4/5 (d) 5/4
  14. 14.Write −12/20 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −12/20 (d) −3/5
  15. 15.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  16. 16.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) −8/5 (c) −5/8 (d) 5/8
  17. 17.What is (−1/4) + (−3/4)? (a) 1/2 (b) −1/2 (c) −1 (d) 1
  18. 18.Is −7/6 positive or negative? (a) Negative (b) Positive
  19. 19.What is (−2/3) + 1/9? (a) −7/9 (b) −5/9 (c) −1/12 (d) 5/9
  20. 20.Is −2/(−2) positive or negative? (a) Positive (b) Negative
  21. 21.Is −2/(−6) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−8/9) − 1/2? (a) −7/18 (b) 25/18 (c) −25/18 (d) −9/11
  23. 23.What is (−1/2) + 5/9? (a) 1/18 (b) 4/11 (c) −1/18 (d) −19/18
  24. 24.Is 5/(−2) positive or negative? (a) Negative (b) Positive
  25. 25.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/6) + (−1/4)? (a) 5/12 (b) 1/12 (c) −1/5 (d) −5/12
  27. 27.What is (−1/5) + (−1/5)? (a) 2/5 (b) −1/5 (c) −2/5 (d) 0
  28. 28.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −6/9
  29. 29.Which is bigger: −4/5 or 3/5? (a) −4/5 (b) 3/5
  30. 30.What is (−5/6) + 1/4? (a) −13/12 (b) −2/5 (c) −7/12 (d) 7/12
  31. 31.What is (−1/7) − 3/7? (a) −2/7 (b) −4/7 (c) 2/7 (d) 4/7
  32. 32.Is 7/8 positive or negative? (a) Negative (b) Positive
  33. 33.Write −3/21 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −7/1 (d) −1/7
  34. 34.Which is smaller: −7/9 or −4/9? (a) −7/9 (b) −4/9
  35. 35.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  36. 36.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  37. 37.What is the reciprocal (multiplicative inverse) of 1/2? (a) 2 (b) −2 (c) 1/2 (d) −1/2
  38. 38.Which is smaller: −1/8 or −3/4? (a) −1/8 (b) −3/4
  39. 39.Which is smaller: −5/9 or −7/9? (a) −7/9 (b) −5/9
  40. 40.What is (−4/7) − 3/7? (a) −1/7 (b) −1 (c) 1 (d) −1/2

Answer key

  1. −2/3
  2. Negative
  3. −1/8
  4. 7/3
  5. −49/45
  6. −5/7
  7. 22/21
  8. 17/30
  9. 9
  10. −1/18
  11. 43/36
  12. −9/8
  13. −4/5
  14. −3/5
  15. −6/5
  16. −5/8
  17. −1
  18. Negative
  19. −5/9
  20. Positive
  21. Positive
  22. −25/18
  23. 1/18
  24. Negative
  25. Negative
  26. −5/12
  27. −2/5
  28. −2/3
  29. 3/5
  30. −7/12
  31. −4/7
  32. Positive
  33. −1/7
  34. −7/9
  35. −5/8
  36. 9/8
  37. 2
  38. −3/4
  39. −7/9
  40. −1

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