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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 733 · 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 −15/20 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −15/20 (d) −3/4
  2. 2.What is 1/3 + (−5/6)? (a) 7/6 (b) −4/9 (c) −1/2 (d) 1/2
  3. 3.Is 1/4 positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −3/4 or −6/7? (a) −6/7 (b) −3/4
  5. 5.What is (−2/5) + 5/7? (a) −11/35 (b) 11/35 (c) 1/4 (d) −39/35
  6. 6.Is 8/7 positive or negative? (a) Negative (b) Positive
  7. 7.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −9/12 (d) 3/4
  8. 8.Is 4/4 positive or negative? (a) Negative (b) Positive
  9. 9.What is the additive inverse of −5/9? (a) 5/9 (b) −9/5 (c) 9/5 (d) −5/9
  10. 10.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −15/21 (c) 5/7 (d) −5/7
  11. 11.Which is bigger: −3/7 or −1/7? (a) −1/7 (b) −3/7
  12. 12.Which is bigger: −1/4 or −1/3? (a) −1/4 (b) −1/3
  13. 13.Is −2/2 positive or negative? (a) Negative (b) Positive
  14. 14.Is −2/(−9) positive or negative? (a) Positive (b) Negative
  15. 15.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  16. 16.What is the additive inverse of −1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  17. 17.What is (−8/9) − (−8/9)? (a) −16/9 (b) 0
  18. 18.Which is smaller: −6/7 or −2/7? (a) −2/7 (b) −6/7
  19. 19.Write −15/24 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −15/24
  20. 20.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −30/36 (c) −6/5 (d) 5/6
  21. 21.What is (−1/9) + 7/8? (a) −55/72 (b) 6/17 (c) 55/72 (d) −71/72
  22. 22.Which is smaller: −5/8 or −2/7? (a) −2/7 (b) −5/8
  23. 23.What is (−3/5) − (−6/7)? (a) −9/35 (b) 9/35 (c) −51/35 (d) 1/4
  24. 24.Is −4/8 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−5/6) − 4/9? (a) 23/18 (b) −7/18 (c) −3/5 (d) −23/18
  26. 26.Which is smaller: −1/6 or −1/4? (a) −1/4 (b) −1/6
  27. 27.What is 5/8 + (−1/5)? (a) 33/40 (b) 4/13 (c) −17/40 (d) 17/40
  28. 28.What is 4/5 + (−2/7)? (a) 18/35 (b) −18/35 (c) 1/6 (d) 38/35
  29. 29.What is (−7/8) + 1/5? (a) −27/40 (b) −43/40 (c) −6/13 (d) 27/40
  30. 30.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 1/9 (d) 9
  31. 31.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −6/14
  32. 32.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  33. 33.What is (−1/5) + (−1/5)? (a) 0 (b) −2/5 (c) 2/5 (d) −1/5
  34. 34.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  35. 35.Which is bigger: −3/7 or −1/5? (a) −3/7 (b) −1/5
  36. 36.What is the additive inverse of 3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  37. 37.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  38. 38.Is −9/(−6) positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −3/4 or −2/5? (a) −2/5 (b) −3/4
  40. 40.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) −1/4 (d) 1/4

Answer key

  1. −3/4
  2. −1/2
  3. Positive
  4. −6/7
  5. 11/35
  6. Positive
  7. −3/4
  8. Positive
  9. 5/9
  10. −5/7
  11. −1/7
  12. −1/4
  13. Negative
  14. Positive
  15. 3/2
  16. 1/8
  17. 0
  18. −6/7
  19. −5/8
  20. −5/6
  21. 55/72
  22. −5/8
  23. 9/35
  24. Negative
  25. −23/18
  26. −1/4
  27. 17/40
  28. 18/35
  29. −27/40
  30. 9
  31. −3/7
  32. 7/6
  33. −2/5
  34. 5/2
  35. −1/5
  36. −3/7
  37. 3
  38. Positive
  39. −3/4
  40. −1/4

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