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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 859 · 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 −6/48 in standard form (lowest terms, positive denominator). (a) −6/48 (b) −8/1 (c) 1/8 (d) −1/8
  2. 2.What is (−5/7) − 1/8? (a) −2/5 (b) −33/56 (c) −47/56 (d) 47/56
  3. 3.What is (−5/9) − (−8/9)? (a) 1/6 (b) 1/3 (c) −1/3 (d) −13/9
  4. 4.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  5. 5.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  6. 6.What is 6/7 + (−1/2)? (a) 19/14 (b) 5/9 (c) 5/14 (d) −5/14
  7. 7.What is the additive inverse of 4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  8. 8.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −10/15 (c) 2/3 (d) −2/3
  9. 9.What is (−4/7) + 1/8? (a) 25/56 (b) −25/56 (c) −1/5 (d) −39/56
  10. 10.What is 1/7 + (−5/8)? (a) 43/56 (b) −27/56 (c) −4/15 (d) 27/56
  11. 11.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  12. 12.What is the additive inverse of −1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  13. 13.What is (−4/7) − (−1/9)? (a) 29/63 (b) −3/16 (c) −43/63 (d) −29/63
  14. 14.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −9/2 (c) 9/2 (d) −2/9
  15. 15.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  16. 16.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −5/7 (d) −7/5
  17. 17.Which is bigger: −1/5 or −4/5? (a) −4/5 (b) −1/5
  18. 18.What is (−5/8) + (−2/5)? (a) −7/13 (b) −9/40 (c) −41/40 (d) 41/40
  19. 19.Which is bigger: −6/7 or 5/7? (a) −6/7 (b) 5/7
  20. 20.What is (−3/7) + (−7/9)? (a) −76/63 (b) 22/63 (c) −5/8 (d) 76/63
  21. 21.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −12/21
  22. 22.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −4/36 (b) 1/9 (c) −9/1 (d) −1/9
  23. 23.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) 8/5 (d) −8/5
  24. 24.What is 3/7 + (−1/6)? (a) 25/42 (b) −11/42 (c) 11/42 (d) 2/13
  25. 25.Which is bigger: −3/7 or −1/9? (a) −3/7 (b) −1/9
  26. 26.Write −4/20 in standard form (lowest terms, positive denominator). (a) −4/20 (b) 1/5 (c) −5/1 (d) −1/5
  27. 27.What is 1/6 + (−8/9)? (a) −7/15 (b) 19/18 (c) 13/18 (d) −13/18
  28. 28.Which is bigger: −1/2 or −5/6? (a) −1/2 (b) −5/6
  29. 29.Is 4/2 positive or negative? (a) Negative (b) Positive
  30. 30.What is 1/8 − (−3/7)? (a) 31/56 (b) 4/15 (c) −17/56 (d) −31/56
  31. 31.Is 2/2 positive or negative? (a) Negative (b) Positive
  32. 32.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  33. 33.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −30/42 (d) 5/7
  34. 34.Which is bigger: −8/9 or −1/3? (a) −8/9 (b) −1/3
  35. 35.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −15/21
  36. 36.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  37. 37.What is (−1/2) + (−4/7)? (a) 15/14 (b) −5/9 (c) −15/14 (d) 1/14
  38. 38.Is 5/5 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−1/5) + 1/4? (a) 0 (b) −1/20 (c) −9/20 (d) 1/20
  40. 40.Is −5/4 positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/8
  2. −47/56
  3. 1/3
  4. −7
  5. −1/2
  6. 5/14
  7. −4/7
  8. −2/3
  9. −25/56
  10. −27/56
  11. −2/5
  12. 1/7
  13. −29/63
  14. −9/2
  15. 5
  16. −5/7
  17. −1/5
  18. −41/40
  19. 5/7
  20. −76/63
  21. −4/7
  22. −1/9
  23. 8/5
  24. 11/42
  25. −1/9
  26. −1/5
  27. −13/18
  28. −1/2
  29. Positive
  30. 31/56
  31. Positive
  32. −5/3
  33. −5/7
  34. −1/3
  35. −5/7
  36. −7/3
  37. −15/14
  38. Positive
  39. 1/20
  40. Negative

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