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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 654 · 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.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −4/10 (d) 2/5
  2. 2.What is 2/7 + (−5/6)? (a) −23/42 (b) −3/13 (c) 23/42 (d) 47/42
  3. 3.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  4. 4.What is 1/9 + (−4/9)? (a) 1/3 (b) −1/3 (c) −1/6 (d) 5/9
  5. 5.What is (−1/5) − 2/9? (a) −3/14 (b) −19/45 (c) 19/45 (d) 1/45
  6. 6.What is (−1/3) − 1/8? (a) −5/24 (b) 11/24 (c) −11/24 (d) −2/11
  7. 7.Which is bigger: −1/8 or −4/9? (a) −4/9 (b) −1/8
  8. 8.Is −8/4 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−1/7) − 3/8? (a) −29/56 (b) 13/56 (c) −4/15 (d) 29/56
  10. 10.Which is bigger: −4/5 or −7/9? (a) −4/5 (b) −7/9
  11. 11.What is 1/6 + (−2/7)? (a) −5/42 (b) −1/13 (c) 5/42 (d) 19/42
  12. 12.What is (−1/5) + 6/7? (a) −37/35 (b) 23/35 (c) −23/35 (d) 5/12
  13. 13.Which is bigger: −3/4 or −3/5? (a) −3/4 (b) −3/5
  14. 14.Which is smaller: −1/7 or 5/9? (a) −1/7 (b) 5/9
  15. 15.What is (−1/9) + (−4/7)? (a) −43/63 (b) 29/63 (c) −5/16 (d) 43/63
  16. 16.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −10/15 (d) 2/3
  17. 17.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  18. 18.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) −3/2 (c) 2/3 (d) 3/2
  19. 19.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  20. 20.What is the additive inverse of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  21. 21.Is 4/2 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −1/5 or −5/8? (a) −1/5 (b) −5/8
  23. 23.What is (−7/9) + 5/8? (a) 11/72 (b) −101/72 (c) −2/17 (d) −11/72
  24. 24.What is (−1/8) + 1/3? (a) −11/24 (b) 5/24 (c) −5/24 (d) 0
  25. 25.What is 4/9 + (−8/9)? (a) 4/9 (b) 4/3 (c) −2/9 (d) −4/9
  26. 26.What is the additive inverse of 3/7? (a) 3/7 (b) 7/3 (c) −7/3 (d) −3/7
  27. 27.What is (−4/7) − 1/8? (a) −39/56 (b) 39/56 (c) −25/56 (d) −1/3
  28. 28.What is (−6/7) − (−8/9)? (a) −110/63 (b) −2/63 (c) 2/63 (d) 1/8
  29. 29.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −2/8 (d) −1/4
  30. 30.What is (−3/5) + 3/5? (a) −6/5 (b) 0
  31. 31.Is 8/(−9) positive or negative? (a) Negative (b) Positive
  32. 32.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −10/16 (d) −5/8
  33. 33.Is 1/(−9) positive or negative? (a) Negative (b) Positive
  34. 34.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  35. 35.Write −12/32 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −12/32 (c) −3/8 (d) −8/3
  36. 36.Which is smaller: −1/5 or −3/4? (a) −1/5 (b) −3/4
  37. 37.What is 5/8 + (−3/7)? (a) −11/56 (b) 59/56 (c) 2/15 (d) 11/56
  38. 38.Is −9/8 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−4/5) − 8/9? (a) 76/45 (b) 4/45 (c) −6/7 (d) −76/45
  40. 40.What is 1/6 + (−1/9)? (a) 5/18 (b) 1/18 (c) −1/18 (d) 0

Answer key

  1. −2/5
  2. −23/42
  3. Negative
  4. −1/3
  5. −19/45
  6. −11/24
  7. −1/8
  8. Negative
  9. −29/56
  10. −7/9
  11. −5/42
  12. 23/35
  13. −3/5
  14. −1/7
  15. −43/63
  16. −2/3
  17. 2/3
  18. −3/2
  19. 1/4
  20. 2/7
  21. Positive
  22. −5/8
  23. −11/72
  24. 5/24
  25. −4/9
  26. −3/7
  27. −39/56
  28. 2/63
  29. −1/4
  30. 0
  31. Negative
  32. −5/8
  33. Negative
  34. 8
  35. −3/8
  36. −3/4
  37. 11/56
  38. Negative
  39. −76/45
  40. 1/18

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