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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 959 · 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 (−8/9) + (−2/3)? (a) −14/9 (b) −5/6 (c) 14/9 (d) −2/9
  2. 2.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −15/20
  3. 3.Which is smaller: −3/7 or 1/3? (a) 1/3 (b) −3/7
  4. 4.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  5. 5.What is (−2/7) − 8/9? (a) −5/8 (b) 38/63 (c) 74/63 (d) −74/63
  6. 6.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −3/8 or −5/9? (a) −3/8 (b) −5/9
  8. 8.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −5/4 (c) 4/5 (d) −4/5
  9. 9.What is (−3/7) − 3/7? (a) −3/7 (b) 0 (c) 6/7 (d) −6/7
  10. 10.Which is smaller: −3/5 or 3/8? (a) −3/5 (b) 3/8
  11. 11.Which is bigger: −3/7 or −3/5? (a) −3/5 (b) −3/7
  12. 12.Which is smaller: −1/3 or −2/7? (a) −2/7 (b) −1/3
  13. 13.What is (−2/5) + 8/9? (a) −22/45 (b) 3/7 (c) 22/45 (d) −58/45
  14. 14.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  15. 15.Which is smaller: −1/5 or −2/9? (a) −2/9 (b) −1/5
  16. 16.What is 1/7 + (−5/8)? (a) 27/56 (b) 43/56 (c) −4/15 (d) −27/56
  17. 17.Which is smaller: −1/3 or 4/5? (a) 4/5 (b) −1/3
  18. 18.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −14/16 (c) −8/7 (d) 7/8
  19. 19.Which is bigger: −3/4 or −4/5? (a) −4/5 (b) −3/4
  20. 20.What is the additive inverse of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  21. 21.Which is smaller: −1/9 or −1/4? (a) −1/4 (b) −1/9
  22. 22.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) 8/5 (c) −5/8 (d) −8/5
  23. 23.What is (−3/5) + 3/4? (a) 0 (b) −3/20 (c) −27/20 (d) 3/20
  24. 24.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −4/9 (d) −16/36
  25. 25.Is −9/8 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −3/5 or −3/8? (a) −3/5 (b) −3/8
  27. 27.Which is smaller: −4/5 or −4/9? (a) −4/5 (b) −4/9
  28. 28.What is the additive inverse of 2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  29. 29.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) −5/8 (d) 5/8
  30. 30.What is 2/7 − (−3/5)? (a) −11/35 (b) −31/35 (c) 31/35 (d) 5/12
  31. 31.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −9/4 (d) −12/27
  32. 32.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −12/54 (c) −9/2 (d) 2/9
  33. 33.What is (−8/9) − 1/4? (a) −9/13 (b) −23/36 (c) −41/36 (d) 41/36
  34. 34.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  35. 35.What is (−5/8) + 5/9? (a) 0 (b) 5/72 (c) −85/72 (d) −5/72
  36. 36.What is (−1/5) − (−4/7)? (a) 1/4 (b) 13/35 (c) −13/35 (d) −27/35
  37. 37.What is (−2/5) − (−7/9)? (a) −17/45 (b) 5/14 (c) 17/45 (d) −53/45
  38. 38.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  39. 39.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) −5/2 (c) −2/5 (d) 2/5
  40. 40.What is (−4/7) − 4/7? (a) 8/7 (b) −4/7 (c) 0 (d) −8/7

Answer key

  1. −14/9
  2. −3/4
  3. −3/7
  4. 9/2
  5. −74/63
  6. Negative
  7. −3/8
  8. −4/5
  9. −6/7
  10. −3/5
  11. −3/7
  12. −1/3
  13. 22/45
  14. Negative
  15. −2/9
  16. −27/56
  17. −1/3
  18. −7/8
  19. −3/4
  20. −2/7
  21. −1/4
  22. 8/5
  23. 3/20
  24. −4/9
  25. Negative
  26. −3/5
  27. −4/5
  28. −2/5
  29. −5/8
  30. 31/35
  31. −4/9
  32. −2/9
  33. −41/36
  34. 3/2
  35. −5/72
  36. 13/35
  37. 17/45
  38. Positive
  39. −2/5
  40. −8/7

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