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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 305 · 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 (−5/9) − 1/9? (a) −1/3 (b) −4/9 (c) 2/3 (d) −2/3
  2. 2.What is (−4/9) + 1/6? (a) −11/18 (b) −5/18 (c) 5/18 (d) −1/5
  3. 3.Is −8/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.What is the additive inverse of 1/7? (a) 7 (b) −1/7 (c) 1/7 (d) −7
  5. 5.What is (−3/8) − 2/7? (a) 37/56 (b) −1/3 (c) −5/56 (d) −37/56
  6. 6.Which is bigger: −3/7 or −3/4? (a) −3/7 (b) −3/4
  7. 7.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −6/24 (b) 1/4 (c) −1/4 (d) −4/1
  8. 8.What is 2/7 + (−3/7)? (a) −1/14 (b) 1/7 (c) 5/7 (d) −1/7
  9. 9.Is −2/4 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−5/6) − (−1/9)? (a) −13/18 (b) −4/15 (c) −17/18 (d) 13/18
  11. 11.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  12. 12.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −15/35 (b) 3/7 (c) −7/3 (d) −3/7
  13. 13.What is (−5/7) − (−3/4)? (a) −2/11 (b) 1/28 (c) −41/28 (d) −1/28
  14. 14.What is (−4/9) − 3/4? (a) −7/13 (b) 11/36 (c) −43/36 (d) 43/36
  15. 15.What is (−5/7) − 6/7? (a) 1/7 (b) 11/7 (c) −11/14 (d) −11/7
  16. 16.Which is bigger: −1/9 or −1/2? (a) −1/2 (b) −1/9
  17. 17.What is (−3/4) − (−4/9)? (a) 1/13 (b) −11/36 (c) −43/36 (d) 11/36
  18. 18.Which is bigger: −2/3 or 4/5? (a) −2/3 (b) 4/5
  19. 19.What is (−5/6) + (−1/5)? (a) 31/30 (b) −6/11 (c) −19/30 (d) −31/30
  20. 20.What is 5/8 + (−2/3)? (a) 3/11 (b) 31/24 (c) 1/24 (d) −1/24
  21. 21.What is (−4/9) + (−3/5)? (a) 7/45 (b) 47/45 (c) −47/45 (d) −1/2
  22. 22.Is −4/4 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −1/7 or 5/8? (a) 5/8 (b) −1/7
  24. 24.Which is smaller: −1/8 or 2/3? (a) 2/3 (b) −1/8
  25. 25.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  26. 26.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −10/12 (b) 5/6 (c) −5/6 (d) −6/5
  27. 27.What is the additive inverse of 4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  28. 28.What is (−5/8) + 1/7? (a) −27/56 (b) −4/15 (c) −43/56 (d) 27/56
  29. 29.What is 2/7 − (−1/3)? (a) −13/21 (b) 3/10 (c) −1/21 (d) 13/21
  30. 30.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  31. 31.Write −18/42 in standard form (lowest terms, positive denominator). (a) −18/42 (b) −7/3 (c) 3/7 (d) −3/7
  32. 32.Is 9/8 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/8) + 3/7? (a) −11/56 (b) −2/15 (c) −59/56 (d) 11/56
  34. 34.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −15/40 (c) 3/8 (d) −8/3
  35. 35.Which is bigger: −1/6 or −1/4? (a) −1/6 (b) −1/4
  36. 36.What is (−1/9) + 2/9? (a) −1/9 (b) −1/3 (c) 1/18 (d) 1/9
  37. 37.What is (−7/9) + (−5/8)? (a) 101/72 (b) −101/72 (c) −12/17 (d) −11/72
  38. 38.What is (−4/7) + 1/7? (a) −5/7 (b) −3/7 (c) 3/7 (d) −3/14
  39. 39.What is (−8/9) + (−1/6)? (a) −13/18 (b) 19/18 (c) −19/18 (d) −3/5
  40. 40.Which is bigger: −2/3 or −1/2? (a) −1/2 (b) −2/3

Answer key

  1. −2/3
  2. −5/18
  3. Positive
  4. −1/7
  5. −37/56
  6. −3/7
  7. −1/4
  8. −1/7
  9. Negative
  10. −13/18
  11. 6/5
  12. −3/7
  13. 1/28
  14. −43/36
  15. −11/7
  16. −1/9
  17. −11/36
  18. 4/5
  19. −31/30
  20. −1/24
  21. −47/45
  22. Negative
  23. −1/7
  24. −1/8
  25. Positive
  26. −5/6
  27. −4/9
  28. −27/56
  29. 13/21
  30. −9/5
  31. −3/7
  32. Positive
  33. −11/56
  34. −3/8
  35. −1/6
  36. 1/9
  37. −101/72
  38. −3/7
  39. −19/18
  40. −1/2

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