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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 525 · 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 the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  2. 2.What is (−1/9) + (−2/7)? (a) −3/16 (b) 11/63 (c) −25/63 (d) 25/63
  3. 3.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −12/42
  4. 4.Write −3/18 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −3/18 (d) 1/6
  5. 5.Which is bigger: −4/7 or −1/3? (a) −1/3 (b) −4/7
  6. 6.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −15/27 (c) 5/9 (d) −9/5
  7. 7.What is (−4/5) + 1/4? (a) −21/20 (b) −11/20 (c) −1/3 (d) 11/20
  8. 8.What is (−1/9) − 2/7? (a) −3/16 (b) 11/63 (c) 25/63 (d) −25/63
  9. 9.What is 4/5 − (−1/9)? (a) 31/45 (b) 5/14 (c) 41/45 (d) −41/45
  10. 10.Which is bigger: −6/7 or −1/6? (a) −6/7 (b) −1/6
  11. 11.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−1/2) + (−5/6)? (a) 1/3 (b) 4/3 (c) −3/4 (d) −4/3
  13. 13.What is (−2/7) + (−3/5)? (a) 31/35 (b) −5/12 (c) −31/35 (d) 11/35
  14. 14.What is 2/5 + (−1/6)? (a) 1/11 (b) 7/30 (c) 17/30 (d) −7/30
  15. 15.What is (−5/8) + 1/3? (a) −23/24 (b) −7/24 (c) −4/11 (d) 7/24
  16. 16.What is (−1/2) + 7/8? (a) 3/5 (b) −11/8 (c) 3/8 (d) −3/8
  17. 17.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −15/20 (c) −4/3 (d) 3/4
  18. 18.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −2/18
  19. 19.What is 5/8 + (−1/3)? (a) 23/24 (b) −7/24 (c) 7/24 (d) 4/11
  20. 20.What is (−5/8) − (−1/4)? (a) −1/3 (b) −3/8 (c) −7/8 (d) 3/8
  21. 21.Which is smaller: −1/2 or 2/3? (a) −1/2 (b) 2/3
  22. 22.What is 4/7 − (−4/9)? (a) 64/63 (b) 1/2 (c) −64/63 (d) 8/63
  23. 23.What is (−1/5) + 7/8? (a) 27/40 (b) −27/40 (c) −43/40 (d) 6/13
  24. 24.What is 8/9 + (−4/9)? (a) 4/3 (b) 2/9 (c) −4/9 (d) 4/9
  25. 25.What is the additive inverse of −1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  26. 26.Which is bigger: −7/9 or −1/5? (a) −1/5 (b) −7/9
  27. 27.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) 8/9 (c) −8/9 (d) −9/8
  28. 28.Which is bigger: −7/8 or −5/8? (a) −5/8 (b) −7/8
  29. 29.Which is smaller: −1/9 or −6/7? (a) −6/7 (b) −1/9
  30. 30.Is −8/2 positive or negative? (a) Negative (b) Positive
  31. 31.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −24/28 (c) −7/6 (d) 6/7
  32. 32.What is (−1/8) + 7/8? (a) −1 (b) −3/4 (c) 3/8 (d) 3/4
  33. 33.Which is bigger: −4/5 or 1/5? (a) −4/5 (b) 1/5
  34. 34.Which is bigger: −1/9 or −1/4? (a) −1/9 (b) −1/4
  35. 35.Which is smaller: −8/9 or −2/5? (a) −8/9 (b) −2/5
  36. 36.Which is bigger: −7/8 or 1/6? (a) 1/6 (b) −7/8
  37. 37.Which is smaller: −3/8 or −4/7? (a) −3/8 (b) −4/7
  38. 38.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  39. 39.Which is smaller: −5/7 or −4/7? (a) −5/7 (b) −4/7
  40. 40.What is (−5/6) − (−1/3)? (a) 1/2 (b) −4/9 (c) −7/6 (d) −1/2

Answer key

  1. 9/4
  2. −25/63
  3. −2/7
  4. −1/6
  5. −1/3
  6. −5/9
  7. −11/20
  8. −25/63
  9. 41/45
  10. −1/6
  11. Negative
  12. −4/3
  13. −31/35
  14. 7/30
  15. −7/24
  16. 3/8
  17. −3/4
  18. −1/9
  19. 7/24
  20. −3/8
  21. −1/2
  22. 64/63
  23. 27/40
  24. 4/9
  25. 1/9
  26. −1/5
  27. −8/9
  28. −5/8
  29. −6/7
  30. Negative
  31. −6/7
  32. 3/4
  33. 1/5
  34. −1/9
  35. −8/9
  36. 1/6
  37. −4/7
  38. −1/3
  39. −5/7
  40. −1/2

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