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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 127 · 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 (−2/9) + (−3/7)? (a) −41/63 (b) 13/63 (c) 41/63 (d) −5/16
  2. 2.Which is bigger: −2/5 or 1/5? (a) −2/5 (b) 1/5
  3. 3.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  4. 4.What is 2/7 + (−2/3)? (a) −8/21 (b) 8/21 (c) 0 (d) 20/21
  5. 5.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −15/18 (d) −6/5
  6. 6.What is the additive inverse of −6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  7. 7.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  8. 8.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −5/6 (d) −6/5
  9. 9.What is (−1/7) + 1/7? (a) 0 (b) −2/7
  10. 10.What is (−3/7) + (−1/6)? (a) −11/42 (b) −25/42 (c) 25/42 (d) −4/13
  11. 11.Is −6/2 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −7/8 or −1/2? (a) −7/8 (b) −1/2
  13. 13.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −2/10
  14. 14.What is (−7/9) − 1/9? (a) −4/9 (b) −2/3 (c) 8/9 (d) −8/9
  15. 15.What is (−5/7) + (−8/9)? (a) −13/16 (b) −101/63 (c) 11/63 (d) 101/63
  16. 16.What is (−2/5) + (−5/6)? (a) −7/11 (b) 13/30 (c) 37/30 (d) −37/30
  17. 17.What is (−5/9) + 7/9? (a) −2/9 (b) 2/9 (c) −4/3 (d) 1/9
  18. 18.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  19. 19.What is 5/6 + (−1/2)? (a) 1/2 (b) 1/3 (c) 4/3 (d) −1/3
  20. 20.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −3/21 (d) 1/7
  21. 21.What is (−4/5) − (−5/7)? (a) −53/35 (b) 1/12 (c) −3/35 (d) 3/35
  22. 22.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −20/24 (c) 5/6 (d) −5/6
  23. 23.What is 2/7 − (−5/6)? (a) 47/42 (b) −23/42 (c) −47/42 (d) 7/13
  24. 24.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  25. 25.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  26. 26.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −6/54 (b) −9/1 (c) −1/9 (d) 1/9
  27. 27.What is (−5/6) + 3/5? (a) −7/30 (b) −43/30 (c) −2/11 (d) 7/30
  28. 28.Which is smaller: −1/3 or 2/5? (a) 2/5 (b) −1/3
  29. 29.What is 3/4 − (−3/8)? (a) −9/8 (b) 1/2 (c) 9/8 (d) 3/8
  30. 30.What is the additive inverse of −2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  31. 31.Which is bigger: −5/7 or 2/5? (a) 2/5 (b) −5/7
  32. 32.Write −18/24 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −18/24 (c) −3/4 (d) 3/4
  33. 33.Which is smaller: −3/7 or 5/7? (a) 5/7 (b) −3/7
  34. 34.What is 4/9 − (−2/3)? (a) 10/9 (b) 1/2 (c) −10/9 (d) −2/9
  35. 35.Is −6/(−9) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−2/3) − (−2/7)? (a) 8/21 (b) −20/21 (c) 0 (d) −8/21
  37. 37.Is −5/5 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−5/6) − 1/2? (a) −1/3 (b) 4/3 (c) −3/4 (d) −4/3
  39. 39.What is (−3/4) + (−1/3)? (a) 13/12 (b) −4/7 (c) −5/12 (d) −13/12
  40. 40.Is −6/4 positive or negative? (a) Positive (b) Negative

Answer key

  1. −41/63
  2. 1/5
  3. 3
  4. −8/21
  5. −5/6
  6. 6/7
  7. Positive
  8. −5/6
  9. 0
  10. −25/42
  11. Negative
  12. −1/2
  13. −1/5
  14. −8/9
  15. −101/63
  16. −37/30
  17. 2/9
  18. Negative
  19. 1/3
  20. −1/7
  21. −3/35
  22. −5/6
  23. 47/42
  24. 6/5
  25. Positive
  26. −1/9
  27. −7/30
  28. −1/3
  29. 9/8
  30. 2/3
  31. 2/5
  32. −3/4
  33. −3/7
  34. 10/9
  35. Positive
  36. −8/21
  37. Negative
  38. −4/3
  39. −13/12
  40. Negative

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