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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 424 · 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.Which is bigger: −1/3 or −5/6? (a) −1/3 (b) −5/6
  2. 2.Write −8/14 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −8/14 (c) −4/7 (d) −7/4
  3. 3.What is (−4/9) − (−7/8)? (a) −95/72 (b) −31/72 (c) 3/17 (d) 31/72
  4. 4.What is (−8/9) + (−1/2)? (a) 25/18 (b) −25/18 (c) −9/11 (d) −7/18
  5. 5.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  7. 7.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  8. 8.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −14/16
  9. 9.What is (−8/9) − (−4/5)? (a) −4/45 (b) −2/7 (c) 4/45 (d) −76/45
  10. 10.Write −12/27 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −12/27 (c) −4/9 (d) −9/4
  11. 11.What is (−1/5) + 1/6? (a) 0 (b) 1/30 (c) −1/30 (d) −11/30
  12. 12.Is 3/6 positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  14. 14.Is −6/(−8) positive or negative? (a) Negative (b) Positive
  15. 15.What is 1/4 + (−4/7)? (a) 9/28 (b) −9/28 (c) −3/11 (d) 23/28
  16. 16.What is (−1/2) + 4/9? (a) −17/18 (b) −1/18 (c) 3/11 (d) 1/18
  17. 17.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) 2/9 (c) −2/9 (d) −9/2
  18. 18.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −20/24 (d) 5/6
  19. 19.Which is bigger: −1/3 or 5/8? (a) −1/3 (b) 5/8
  20. 20.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  21. 21.What is (−1/5) − 1/6? (a) −2/11 (b) −1/30 (c) 11/30 (d) −11/30
  22. 22.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −4/10 (c) −5/2 (d) 2/5
  23. 23.What is (−5/9) − 3/8? (a) −13/72 (b) 67/72 (c) −8/17 (d) −67/72
  24. 24.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −12/20 (c) −3/5 (d) −5/3
  25. 25.Is −6/7 positive or negative? (a) Positive (b) Negative
  26. 26.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) −8/3 (c) 3/8 (d) −3/8
  27. 27.What is 5/9 + (−7/8)? (a) 103/72 (b) −23/72 (c) 23/72 (d) −2/17
  28. 28.What is (−3/7) + (−1/2)? (a) 1/14 (b) 13/14 (c) −13/14 (d) −4/9
  29. 29.Write −25/30 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −25/30 (c) 5/6 (d) −5/6
  30. 30.What is the additive inverse of −5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  31. 31.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −4/3 (d) −18/24
  32. 32.Which is smaller: −4/7 or −4/9? (a) −4/9 (b) −4/7
  33. 33.Which is bigger: −6/7 or 1/2? (a) 1/2 (b) −6/7
  34. 34.What is the additive inverse of −3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  35. 35.Is 5/3 positive or negative? (a) Negative (b) Positive
  36. 36.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  38. 38.What is (−3/7) + (−4/9)? (a) 55/63 (b) 1/63 (c) −7/16 (d) −55/63
  39. 39.What is (−3/4) + 6/7? (a) −3/28 (b) 3/28 (c) −45/28 (d) 3/11
  40. 40.What is (−5/8) + 7/9? (a) −101/72 (b) −11/72 (c) 2/17 (d) 11/72

Answer key

  1. −1/3
  2. −4/7
  3. 31/72
  4. −25/18
  5. Negative
  6. −1/3
  7. 7/4
  8. −7/8
  9. −4/45
  10. −4/9
  11. −1/30
  12. Positive
  13. −2
  14. Positive
  15. −9/28
  16. −1/18
  17. −2/9
  18. −5/6
  19. 5/8
  20. −5/2
  21. −11/30
  22. −2/5
  23. −67/72
  24. −3/5
  25. Negative
  26. −3/8
  27. −23/72
  28. −13/14
  29. −5/6
  30. 5/8
  31. −3/4
  32. −4/7
  33. 1/2
  34. 3/5
  35. Positive
  36. Negative
  37. 9/7
  38. −55/63
  39. 3/28
  40. 11/72

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