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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 476 · 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.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) −9/5 (c) 5/9 (d) 9/5
  2. 2.What is (−1/2) + 7/8? (a) −3/8 (b) 3/8 (c) −11/8 (d) 3/5
  3. 3.Which is smaller: −1/6 or 4/9? (a) −1/6 (b) 4/9
  4. 4.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  5. 5.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) 6/7 (d) −6/7
  6. 6.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −3/8 (d) −6/16
  7. 7.Which is smaller: −1/6 or −3/5? (a) −1/6 (b) −3/5
  8. 8.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.What is the additive inverse of 8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  10. 10.Write −20/36 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −20/36 (c) 5/9 (d) −5/9
  11. 11.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −3/4 or 2/3? (a) −3/4 (b) 2/3
  13. 13.What is 5/8 + (−4/7)? (a) 3/56 (b) 1/15 (c) 67/56 (d) −3/56
  14. 14.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  15. 15.Write −3/12 in standard form (lowest terms, positive denominator). (a) −3/12 (b) −1/4 (c) −4/1 (d) 1/4
  16. 16.What is (−4/7) + (−3/8)? (a) −7/15 (b) −53/56 (c) −11/56 (d) 53/56
  17. 17.Which is smaller: −1/3 or −1/5? (a) −1/5 (b) −1/3
  18. 18.Write −12/16 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −12/16
  19. 19.Is 7/3 positive or negative? (a) Negative (b) Positive
  20. 20.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  21. 21.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −4/10 (d) −2/5
  22. 22.What is the additive inverse of 2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  23. 23.Which is smaller: −1/4 or 3/7? (a) −1/4 (b) 3/7
  24. 24.Is 8/5 positive or negative? (a) Positive (b) Negative
  25. 25.Write −8/18 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −8/18 (c) −9/4 (d) 4/9
  26. 26.What is 1/2 + (−1/9)? (a) −7/18 (b) 7/18 (c) 11/18 (d) 0
  27. 27.Which is smaller: −5/8 or −2/9? (a) −5/8 (b) −2/9
  28. 28.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  29. 29.What is the additive inverse of −1/2? (a) 2 (b) −1/2 (c) 1/2 (d) −2
  30. 30.What is 1/3 − (−3/5)? (a) −4/15 (b) 1/2 (c) −14/15 (d) 14/15
  31. 31.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −3/6 (c) −2/1 (d) −1/2
  32. 32.Which is bigger: −1/9 or 3/7? (a) −1/9 (b) 3/7
  33. 33.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  34. 34.Which is bigger: −1/4 or −5/8? (a) −1/4 (b) −5/8
  35. 35.Which is smaller: −2/9 or 2/7? (a) 2/7 (b) −2/9
  36. 36.Which is bigger: −1/6 or 4/7? (a) 4/7 (b) −1/6
  37. 37.What is the additive inverse of 3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  38. 38.Which is smaller: −5/9 or −5/8? (a) −5/9 (b) −5/8
  39. 39.Is −8/6 positive or negative? (a) Positive (b) Negative
  40. 40.Write −6/8 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −6/8 (d) −3/4

Answer key

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

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