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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 761 · 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 − (−2/3)? (a) 7/12 (b) 11/9 (c) −1/9 (d) −11/9
  2. 2.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −4/28 (c) −7/1 (d) 1/7
  3. 3.What is (−1/5) − 8/9? (a) 31/45 (b) −9/14 (c) −49/45 (d) 49/45
  4. 4.Which is bigger: −4/9 or 1/5? (a) −4/9 (b) 1/5
  5. 5.Which is bigger: −1/9 or 1/8? (a) 1/8 (b) −1/9
  6. 6.Is 5/(−4) positive or negative? (a) Negative (b) Positive
  7. 7.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −5/3 (d) −6/10
  8. 8.Is −1/8 positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  10. 10.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  11. 11.What is (−3/5) − (−1/9)? (a) −22/45 (b) −1/7 (c) −32/45 (d) 22/45
  12. 12.What is (−4/9) − (−4/9)? (a) −8/9 (b) 0
  13. 13.What is (−3/5) − 2/9? (a) 37/45 (b) −37/45 (c) −5/14 (d) −17/45
  14. 14.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) 5/4 (c) −4/5 (d) 4/5
  15. 15.What is (−3/5) + 7/8? (a) 11/40 (b) 4/13 (c) −59/40 (d) −11/40
  16. 16.What is (−1/2) + 4/9? (a) −17/18 (b) −1/18 (c) 3/11 (d) 1/18
  17. 17.What is (−2/5) + (−1/9)? (a) 23/45 (b) −13/45 (c) −3/14 (d) −23/45
  18. 18.What is (−1/6) + (−2/3)? (a) 5/6 (b) −5/6 (c) −1/3 (d) 1/2
  19. 19.Which is bigger: −3/7 or 5/6? (a) −3/7 (b) 5/6
  20. 20.What is (−4/7) + 5/7? (a) 1/14 (b) −9/7 (c) 1/7 (d) −1/7
  21. 21.Write −30/54 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −30/54
  22. 22.Is −8/4 positive or negative? (a) Positive (b) Negative
  23. 23.What is (−1/3) − 1/7? (a) −1/5 (b) −4/21 (c) −10/21 (d) 10/21
  24. 24.What is (−7/8) + 1/5? (a) 27/40 (b) −43/40 (c) −6/13 (d) −27/40
  25. 25.Write −25/30 in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −6/5 (d) −5/6
  26. 26.What is (−3/5) − (−3/4)? (a) 3/20 (b) −27/20 (c) −3/20 (d) 0
  27. 27.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −4/12 (d) −1/3
  28. 28.What is the additive inverse of −1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  29. 29.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  30. 30.Which is bigger: −5/6 or 5/8? (a) 5/8 (b) −5/6
  31. 31.What is 6/7 − (−3/4)? (a) 3/28 (b) 45/28 (c) −45/28 (d) 9/11
  32. 32.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) 2/7 (c) −2/7 (d) −7/2
  33. 33.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −7/2 (d) −12/42
  34. 34.Is −2/2 positive or negative? (a) Positive (b) Negative
  35. 35.Is 8/(−8) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−5/8) − 2/5? (a) −9/40 (b) 41/40 (c) −41/40 (d) −7/13
  37. 37.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  38. 38.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  39. 39.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  40. 40.What is (−4/5) − 5/6? (a) 49/30 (b) −9/11 (c) 1/30 (d) −49/30

Answer key

  1. 11/9
  2. −1/7
  3. −49/45
  4. 1/5
  5. 1/8
  6. Negative
  7. −3/5
  8. Negative
  9. 7/6
  10. −3/4
  11. −22/45
  12. 0
  13. −37/45
  14. −5/4
  15. 11/40
  16. −1/18
  17. −23/45
  18. −5/6
  19. 5/6
  20. 1/7
  21. −5/9
  22. Negative
  23. −10/21
  24. −27/40
  25. −5/6
  26. 3/20
  27. −1/3
  28. 1/2
  29. 2
  30. 5/8
  31. 45/28
  32. −7/2
  33. −2/7
  34. Negative
  35. Negative
  36. −41/40
  37. 4
  38. −2
  39. 4/3
  40. −49/30

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