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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 27 · 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.Is 1/3 positive or negative? (a) Negative (b) Positive
  2. 2.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −1/7 (d) −5/35
  3. 3.What is 3/8 + (−5/7)? (a) −19/56 (b) −2/15 (c) 61/56 (d) 19/56
  4. 4.What is (−6/7) + 3/8? (a) −69/56 (b) −1/5 (c) −27/56 (d) 27/56
  5. 5.What is the additive inverse of −1/5? (a) −5 (b) −1/5 (c) 5 (d) 1/5
  6. 6.What is (−5/9) − 1/2? (a) −1/18 (b) −6/11 (c) 19/18 (d) −19/18
  7. 7.What is 4/9 − (−1/8)? (a) 5/17 (b) −41/72 (c) 41/72 (d) 23/72
  8. 8.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  9. 9.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  10. 10.What is 4/9 − (−2/9)? (a) 1/3 (b) 2/9 (c) −2/3 (d) 2/3
  11. 11.What is (−2/3) − 7/9? (a) 13/9 (b) −13/9 (c) 1/9 (d) −3/4
  12. 12.Is 4/5 positive or negative? (a) Negative (b) Positive
  13. 13.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) 2/9 (d) −2/9
  14. 14.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −30/54 (b) −9/5 (c) −5/9 (d) 5/9
  15. 15.What is (−7/9) + 4/7? (a) −13/63 (b) −85/63 (c) −3/16 (d) 13/63
  16. 16.Is −7/2 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−4/7) − 3/8? (a) −7/15 (b) −53/56 (c) −11/56 (d) 53/56
  18. 18.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −12/54 (d) −2/9
  19. 19.What is 4/7 + (−1/7)? (a) −3/7 (b) 3/7 (c) 5/7 (d) 3/14
  20. 20.What is (−5/6) − 2/5? (a) −37/30 (b) −13/30 (c) −7/11 (d) 37/30
  21. 21.What is (−4/9) − 3/5? (a) 7/45 (b) 47/45 (c) −1/2 (d) −47/45
  22. 22.What is 1/3 + (−3/7)? (a) 2/21 (b) 16/21 (c) −2/21 (d) −1/5
  23. 23.What is (−2/5) + (−2/9)? (a) −8/45 (b) −2/7 (c) 28/45 (d) −28/45
  24. 24.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  25. 25.What is (−6/7) + 6/7? (a) −12/7 (b) 0
  26. 26.Which is bigger: −1/7 or −7/9? (a) −7/9 (b) −1/7
  27. 27.Write −12/21 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −12/21 (d) −4/7
  28. 28.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  29. 29.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) −3/7 (c) −7/3 (d) 7/3
  30. 30.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  31. 31.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  32. 32.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) −8/3 (c) 3/8 (d) −3/8
  33. 33.What is (−7/8) + (−1/8)? (a) −1 (b) 1 (c) −1/2 (d) −3/4
  34. 34.Which is smaller: −3/4 or 5/8? (a) 5/8 (b) −3/4
  35. 35.What is the additive inverse of 1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  36. 36.Which is smaller: −2/5 or −3/5? (a) −2/5 (b) −3/5
  37. 37.What is 1/8 − (−4/9)? (a) 41/72 (b) −23/72 (c) 5/17 (d) −41/72
  38. 38.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −4/20
  39. 39.Write −6/48 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −8/1 (d) −6/48
  40. 40.Which is bigger: −3/5 or −2/5? (a) −3/5 (b) −2/5

Answer key

  1. Positive
  2. −1/7
  3. −19/56
  4. −27/56
  5. 1/5
  6. −19/18
  7. 41/72
  8. 7/5
  9. 2
  10. 2/3
  11. −13/9
  12. Positive
  13. −2/9
  14. −5/9
  15. −13/63
  16. Negative
  17. −53/56
  18. −2/9
  19. 3/7
  20. −37/30
  21. −47/45
  22. −2/21
  23. −28/45
  24. −7/2
  25. 0
  26. −1/7
  27. −4/7
  28. 8/3
  29. 7/3
  30. −2
  31. Positive
  32. −3/8
  33. −1
  34. −3/4
  35. −1/2
  36. −3/5
  37. 41/72
  38. −1/5
  39. −1/8
  40. −2/5

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