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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 59 · 40 sums
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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.Which is smaller: −5/7 or 1/6? (a) −5/7 (b) 1/6
  2. 2.Which is smaller: −2/3 or −3/5? (a) −2/3 (b) −3/5
  3. 3.Which is bigger: −1/9 or −4/7? (a) −1/9 (b) −4/7
  4. 4.What is (−2/9) − (−7/9)? (a) −5/9 (b) −1 (c) 5/9 (d) 5/18
  5. 5.What is (−1/7) − (−1/2)? (a) −5/14 (b) 0 (c) 5/14 (d) −9/14
  6. 6.What is (−2/5) + (−2/3)? (a) 4/15 (b) −1/2 (c) 16/15 (d) −16/15
  7. 7.What is (−8/9) − (−5/7)? (a) −101/63 (b) −3/16 (c) 11/63 (d) −11/63
  8. 8.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  9. 9.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  10. 10.What is 5/6 + (−3/8)? (a) 11/24 (b) 29/24 (c) −11/24 (d) 1/7
  11. 11.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −35/40 (d) 7/8
  12. 12.What is the additive inverse of 5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  13. 13.What is (−1/5) + (−5/9)? (a) 16/45 (b) 34/45 (c) −34/45 (d) −3/7
  14. 14.Which is bigger: −3/8 or −5/6? (a) −5/6 (b) −3/8
  15. 15.Is 1/(−6) positive or negative? (a) Positive (b) Negative
  16. 16.What is 2/5 − (−8/9)? (a) 58/45 (b) −22/45 (c) 5/7 (d) −58/45
  17. 17.What is (−1/2) − (−1/6)? (a) 0 (b) 1/3 (c) −1/3 (d) −2/3
  18. 18.What is (−4/5) + (−1/2)? (a) 13/10 (b) −5/7 (c) −13/10 (d) −3/10
  19. 19.What is (−8/9) − (−1/5)? (a) −49/45 (b) 31/45 (c) −31/45 (d) −1/2
  20. 20.What is (−1/3) − (−2/9)? (a) 1/12 (b) −1/9 (c) 1/9 (d) −5/9
  21. 21.What is (−2/7) − 5/7? (a) 3/7 (b) 1 (c) −1 (d) −1/2
  22. 22.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  23. 23.What is (−1/3) + (−5/7)? (a) −22/21 (b) −3/5 (c) 8/21 (d) 22/21
  24. 24.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −2/8 (d) −1/4
  25. 25.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  26. 26.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −30/42 (c) 5/7 (d) −5/7
  27. 27.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) −14/16 (d) 7/8
  28. 28.What is 7/9 − (−4/5)? (a) −71/45 (b) −1/45 (c) 11/14 (d) 71/45
  29. 29.Write −30/35 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −30/35 (d) 6/7
  30. 30.What is (−3/4) + 3/8? (a) 3/8 (b) −9/8 (c) 0 (d) −3/8
  31. 31.What is 4/5 + (−3/8)? (a) 1/13 (b) 17/40 (c) −17/40 (d) 47/40
  32. 32.Which is bigger: −1/3 or −5/7? (a) −5/7 (b) −1/3
  33. 33.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  34. 34.Is −2/4 positive or negative? (a) Negative (b) Positive
  35. 35.Is 5/5 positive or negative? (a) Positive (b) Negative
  36. 36.What is (−1/4) + 8/9? (a) 23/36 (b) −41/36 (c) −23/36 (d) 7/13
  37. 37.Which is smaller: −5/8 or 4/9? (a) 4/9 (b) −5/8
  38. 38.What is the additive inverse of −5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  39. 39.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−5/8) + 2/3? (a) 1/24 (b) −31/24 (c) −3/11 (d) −1/24

Answer key

  1. −5/7
  2. −2/3
  3. −1/9
  4. 5/9
  5. 5/14
  6. −16/15
  7. −11/63
  8. 2
  9. −1/5
  10. 11/24
  11. −7/8
  12. −5/6
  13. −34/45
  14. −3/8
  15. Negative
  16. 58/45
  17. −1/3
  18. −13/10
  19. −31/45
  20. −1/9
  21. −1
  22. 9/7
  23. −22/21
  24. −1/4
  25. Negative
  26. −5/7
  27. −7/8
  28. 71/45
  29. −6/7
  30. −3/8
  31. 17/40
  32. −1/3
  33. 3/5
  34. Negative
  35. Positive
  36. 23/36
  37. −5/8
  38. 5/8
  39. Positive
  40. 1/24

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