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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 334 · 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 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) −9/4 (c) −4/9 (d) 4/9
  2. 2.Which is bigger: −8/9 or 2/9? (a) 2/9 (b) −8/9
  3. 3.What is 5/8 + (−1/5)? (a) 4/13 (b) 17/40 (c) 33/40 (d) −17/40
  4. 4.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  5. 5.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −20/24 (b) 5/6 (c) −5/6 (d) −6/5
  6. 6.Is 1/9 positive or negative? (a) Negative (b) Positive
  7. 7.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −2/7 (c) −7/2 (d) 2/7
  8. 8.What is 3/8 − (−1/6)? (a) 13/24 (b) −13/24 (c) 2/7 (d) 5/24
  9. 9.What is (−4/7) + (−7/8)? (a) 17/56 (b) −81/56 (c) −11/15 (d) 81/56
  10. 10.What is (−4/7) + 5/8? (a) 1/15 (b) −67/56 (c) −3/56 (d) 3/56
  11. 11.What is (−8/9) − (−5/7)? (a) 11/63 (b) −3/16 (c) −11/63 (d) −101/63
  12. 12.Which is bigger: −1/6 or −4/9? (a) −1/6 (b) −4/9
  13. 13.What is the additive inverse of 7/9? (a) −9/7 (b) −7/9 (c) 7/9 (d) 9/7
  14. 14.What is 3/7 − (−2/7)? (a) 1/7 (b) −5/7 (c) 5/14 (d) 5/7
  15. 15.What is 5/6 + (−5/8)? (a) −5/24 (b) 35/24 (c) 0 (d) 5/24
  16. 16.What is the additive inverse of −2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  17. 17.Which is bigger: −3/8 or −2/5? (a) −3/8 (b) −2/5
  18. 18.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  19. 19.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) 5/9 (c) −5/9 (d) −9/5
  20. 20.Which is bigger: −5/7 or −1/4? (a) −5/7 (b) −1/4
  21. 21.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  22. 22.What is (−3/8) + 2/7? (a) −5/56 (b) −37/56 (c) −1/15 (d) 5/56
  23. 23.Is 4/5 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −4/9 or −2/9? (a) −4/9 (b) −2/9
  25. 25.Is 1/7 positive or negative? (a) Positive (b) Negative
  26. 26.What is 4/7 − (−4/7)? (a) 4/7 (b) 8/7 (c) −8/7 (d) 0
  27. 27.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −12/54 (c) −9/2 (d) −2/9
  28. 28.What is (−1/2) + 3/8? (a) −1/8 (b) −7/8 (c) 1/5 (d) 1/8
  29. 29.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  30. 30.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  31. 31.What is (−5/9) + (−1/3)? (a) −2/9 (b) −1/2 (c) 8/9 (d) −8/9
  32. 32.Is −5/7 positive or negative? (a) Negative (b) Positive
  33. 33.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  34. 34.Is −7/6 positive or negative? (a) Positive (b) Negative
  35. 35.Write −21/27 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −21/27 (d) 7/9
  36. 36.Write −3/6 in standard form (lowest terms, positive denominator). (a) −3/6 (b) −1/2 (c) −2/1 (d) 1/2
  37. 37.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −6/16 (b) −8/3 (c) −3/8 (d) 3/8
  38. 38.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −25/45 (c) −5/9 (d) −9/5
  39. 39.What is 5/9 + (−4/9)? (a) 1/9 (b) 1 (c) 1/18 (d) −1/9
  40. 40.What is (−2/5) + 1/3? (a) −1/8 (b) −1/15 (c) 1/15 (d) −11/15

Answer key

  1. −4/9
  2. 2/9
  3. 17/40
  4. 9
  5. −5/6
  6. Positive
  7. −2/7
  8. 13/24
  9. −81/56
  10. 3/56
  11. −11/63
  12. −1/6
  13. −7/9
  14. 5/7
  15. 5/24
  16. 2/5
  17. −3/8
  18. 2/3
  19. −5/9
  20. −1/4
  21. 7/3
  22. −5/56
  23. Positive
  24. −2/9
  25. Positive
  26. 8/7
  27. −2/9
  28. −1/8
  29. −5/2
  30. 9/4
  31. −8/9
  32. Negative
  33. −1/4
  34. Negative
  35. −7/9
  36. −1/2
  37. −3/8
  38. −5/9
  39. 1/9
  40. −1/15

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