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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 434 · 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 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) 5/6 (c) −6/5 (d) −5/6
  2. 2.Which is bigger: −3/4 or −4/9? (a) −4/9 (b) −3/4
  3. 3.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −9/12 (c) −3/4 (d) 3/4
  4. 4.Which is bigger: −5/8 or −3/8? (a) −5/8 (b) −3/8
  5. 5.Which is bigger: −2/3 or 4/5? (a) 4/5 (b) −2/3
  6. 6.What is 2/9 − (−3/4)? (a) −35/36 (b) −19/36 (c) 35/36 (d) 5/13
  7. 7.Write −2/16 in standard form (lowest terms, positive denominator). (a) −2/16 (b) −8/1 (c) −1/8 (d) 1/8
  8. 8.What is (−3/8) + (−3/7)? (a) −45/56 (b) −2/5 (c) 3/56 (d) 45/56
  9. 9.What is 5/8 + (−3/4)? (a) 1/8 (b) 11/8 (c) −1/8 (d) 1/6
  10. 10.Is 6/6 positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −1/2 or −7/8? (a) −1/2 (b) −7/8
  12. 12.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−5/9) − 4/7? (a) −9/16 (b) 71/63 (c) −71/63 (d) 1/63
  14. 14.Which is bigger: −1/4 or −2/7? (a) −2/7 (b) −1/4
  15. 15.What is (−5/9) − 4/9? (a) −1 (b) 1 (c) −1/9 (d) −1/2
  16. 16.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  17. 17.Which is smaller: −5/8 or −3/5? (a) −3/5 (b) −5/8
  18. 18.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  19. 19.What is the additive inverse of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  20. 20.What is (−5/6) − (−1/6)? (a) −1/3 (b) −1 (c) 2/3 (d) −2/3
  21. 21.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  22. 22.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −15/21 (c) −5/7 (d) 5/7
  23. 23.What is (−1/3) + 2/9? (a) 1/12 (b) −5/9 (c) 1/9 (d) −1/9
  24. 24.Write −4/36 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −4/36 (c) −1/9 (d) −9/1
  25. 25.What is (−4/7) − (−2/9)? (a) −1/8 (b) −50/63 (c) 22/63 (d) −22/63
  26. 26.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  27. 27.Which is bigger: −4/5 or −1/7? (a) −4/5 (b) −1/7
  28. 28.What is (−5/6) + (−5/6)? (a) 0 (b) −5/6 (c) 5/3 (d) −5/3
  29. 29.What is (−1/3) − 2/3? (a) −1/2 (b) 1/3 (c) 1 (d) −1
  30. 30.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) 7/6 (c) −7/6 (d) −6/7
  31. 31.Which is smaller: −1/5 or −2/5? (a) −1/5 (b) −2/5
  32. 32.Is −4/5 positive or negative? (a) Negative (b) Positive
  33. 33.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −8/18 (d) −4/9
  34. 34.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) 7/6 (c) −7/6 (d) −6/7
  35. 35.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −8/12 (d) 2/3
  36. 36.What is 1/7 − (−1/6)? (a) 2/13 (b) −13/42 (c) 13/42 (d) −1/42
  37. 37.Is −2/9 positive or negative? (a) Positive (b) Negative
  38. 38.Which is smaller: −1/6 or −2/3? (a) −2/3 (b) −1/6
  39. 39.What is (−5/7) − 4/5? (a) −3/4 (b) 3/35 (c) 53/35 (d) −53/35
  40. 40.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −10/18 (c) 5/9 (d) −9/5

Answer key

  1. −5/6
  2. −4/9
  3. −3/4
  4. −3/8
  5. 4/5
  6. 35/36
  7. −1/8
  8. −45/56
  9. −1/8
  10. Positive
  11. −7/8
  12. Positive
  13. −71/63
  14. −1/4
  15. −1
  16. 5/2
  17. −5/8
  18. −7/9
  19. 4/7
  20. −2/3
  21. Negative
  22. −5/7
  23. −1/9
  24. −1/9
  25. −22/63
  26. −2/3
  27. −1/7
  28. −5/3
  29. −1
  30. 7/6
  31. −2/5
  32. Negative
  33. −4/9
  34. −7/6
  35. −2/3
  36. 13/42
  37. Negative
  38. −2/3
  39. −53/35
  40. −5/9

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