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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 403 · 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 5/6 + (−2/7)? (a) 3/13 (b) 23/42 (c) 47/42 (d) −23/42
  2. 2.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −30/42 (d) −5/7
  3. 3.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −35/45 (c) 7/9 (d) −9/7
  4. 4.Which is bigger: −2/3 or −1/9? (a) −1/9 (b) −2/3
  5. 5.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −6/16 (b) −8/3 (c) 3/8 (d) −3/8
  6. 6.Is −2/(−2) positive or negative? (a) Positive (b) Negative
  7. 7.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −30/54 (d) −5/9
  8. 8.What is (−1/9) + 4/7? (a) −43/63 (b) 3/16 (c) 29/63 (d) −29/63
  9. 9.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  10. 10.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −12/42 (c) 2/7 (d) −2/7
  11. 11.What is the additive inverse of −1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  12. 12.What is the additive inverse of −5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  13. 13.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −3/15 (d) 1/5
  15. 15.What is 4/7 + (−3/5)? (a) −1/35 (b) 1/35 (c) 1/12 (d) 41/35
  16. 16.Is 1/7 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−1/6) − 4/5? (a) −5/11 (b) −29/30 (c) 19/30 (d) 29/30
  18. 18.What is 2/5 + (−4/7)? (a) 34/35 (b) −6/35 (c) 6/35 (d) −1/6
  19. 19.What is (−6/7) − 1/8? (a) −55/56 (b) −7/15 (c) 55/56 (d) −41/56
  20. 20.Which is smaller: −7/9 or 2/3? (a) −7/9 (b) 2/3
  21. 21.What is 5/8 + (−1/4)? (a) 1/3 (b) 3/8 (c) −3/8 (d) 7/8
  22. 22.Is 2/2 positive or negative? (a) Negative (b) Positive
  23. 23.Is −8/(−8) positive or negative? (a) Negative (b) Positive
  24. 24.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 7 (c) −7 (d) 1/7
  25. 25.Is −6/5 positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −2/3 or −5/7? (a) −2/3 (b) −5/7
  27. 27.Which is smaller: −4/9 or −1/7? (a) −1/7 (b) −4/9
  28. 28.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  29. 29.Is 8/9 positive or negative? (a) Positive (b) Negative
  30. 30.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  31. 31.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  32. 32.Which is smaller: −1/8 or −4/5? (a) −4/5 (b) −1/8
  33. 33.Is 9/9 positive or negative? (a) Positive (b) Negative
  34. 34.Write −3/27 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −9/1 (d) −1/9
  35. 35.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −4/28 (b) −1/7 (c) −7/1 (d) 1/7
  36. 36.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  37. 37.What is (−2/5) + (−1/2)? (a) −9/10 (b) −3/7 (c) 1/10 (d) 9/10
  38. 38.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.Is 8/(−2) positive or negative? (a) Negative (b) Positive
  40. 40.Is −1/(−3) positive or negative? (a) Negative (b) Positive

Answer key

  1. 23/42
  2. −5/7
  3. −7/9
  4. −1/9
  5. −3/8
  6. Positive
  7. −5/9
  8. 29/63
  9. −7
  10. −2/7
  11. 1/6
  12. 5/6
  13. Negative
  14. −1/5
  15. −1/35
  16. Positive
  17. −29/30
  18. −6/35
  19. −55/56
  20. −7/9
  21. 3/8
  22. Positive
  23. Positive
  24. 7
  25. Negative
  26. −2/3
  27. −4/9
  28. Negative
  29. Positive
  30. −2/5
  31. 5/7
  32. −4/5
  33. Positive
  34. −1/9
  35. −1/7
  36. −2
  37. −9/10
  38. Positive
  39. Negative
  40. Positive

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