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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 924 · 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 6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  2. 2.What is the additive inverse of 1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  3. 3.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  4. 4.What is (−1/3) − 1/2? (a) 5/6 (b) 1/6 (c) −2/5 (d) −5/6
  5. 5.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −48/54 (b) −8/9 (c) 8/9 (d) −9/8
  6. 6.What is (−5/8) + (−8/9)? (a) 19/72 (b) −13/17 (c) −109/72 (d) 109/72
  7. 7.What is (−3/4) − (−1/4)? (a) −1 (b) 1/2 (c) −1/2 (d) −1/4
  8. 8.Which is smaller: −3/8 or −2/5? (a) −3/8 (b) −2/5
  9. 9.What is 1/7 + (−1/5)? (a) 12/35 (b) 2/35 (c) 0 (d) −2/35
  10. 10.Which is bigger: −1/4 or 7/8? (a) −1/4 (b) 7/8
  11. 11.What is (−7/8) + (−1/4)? (a) −5/8 (b) −9/8 (c) 9/8 (d) −2/3
  12. 12.What is (−4/9) + 8/9? (a) 4/9 (b) 2/9 (c) −4/9 (d) −4/3
  13. 13.What is (−4/5) − 3/4? (a) 31/20 (b) −1/20 (c) −7/9 (d) −31/20
  14. 14.Write −20/24 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −20/24 (d) −6/5
  15. 15.Which is smaller: −1/3 or −2/7? (a) −2/7 (b) −1/3
  16. 16.Write −18/21 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −18/21 (c) 6/7 (d) −7/6
  17. 17.What is 2/5 − (−5/6)? (a) 7/11 (b) −13/30 (c) −37/30 (d) 37/30
  18. 18.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −5/7 or −2/7? (a) −5/7 (b) −2/7
  20. 20.Which is bigger: −6/7 or −4/9? (a) −6/7 (b) −4/9
  21. 21.What is (−6/7) + 5/6? (a) 1/42 (b) −71/42 (c) −1/42 (d) −1/13
  22. 22.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  23. 23.Is −9/9 positive or negative? (a) Negative (b) Positive
  24. 24.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −2/18 (d) 1/9
  25. 25.What is the additive inverse of 1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  26. 26.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  27. 27.Is −5/4 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−2/7) − (−1/2)? (a) 3/14 (b) −3/14 (c) −11/14 (d) −1/9
  29. 29.What is 1/7 + (−2/9)? (a) 5/63 (b) −1/16 (c) 23/63 (d) −5/63
  30. 30.What is (−4/7) + 5/7? (a) −9/7 (b) −1/7 (c) 1/14 (d) 1/7
  31. 31.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  32. 32.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −4/6 (c) −2/3 (d) −3/2
  33. 33.What is (−2/7) − (−1/4)? (a) 1/28 (b) −1/11 (c) −15/28 (d) −1/28
  34. 34.What is (−2/5) − 5/9? (a) 43/45 (b) −1/2 (c) 7/45 (d) −43/45
  35. 35.Which is bigger: −1/5 or 4/7? (a) −1/5 (b) 4/7
  36. 36.What is (−1/5) + (−1/7)? (a) −2/35 (b) 12/35 (c) −12/35 (d) −1/6
  37. 37.What is (−4/7) − 1/4? (a) −5/11 (b) −9/28 (c) 23/28 (d) −23/28
  38. 38.Write −20/36 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −20/36 (d) 5/9
  39. 39.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −4/32 (d) 1/8
  40. 40.What is 3/5 − (−7/9)? (a) −8/45 (b) 5/7 (c) −62/45 (d) 62/45

Answer key

  1. 7/6
  2. −1/4
  3. 5/2
  4. −5/6
  5. −8/9
  6. −109/72
  7. −1/2
  8. −2/5
  9. −2/35
  10. 7/8
  11. −9/8
  12. 4/9
  13. −31/20
  14. −5/6
  15. −1/3
  16. −6/7
  17. 37/30
  18. Positive
  19. −2/7
  20. −4/9
  21. −1/42
  22. −7/2
  23. Negative
  24. −1/9
  25. −1/6
  26. Negative
  27. Negative
  28. 3/14
  29. −5/63
  30. 1/7
  31. 3/2
  32. −2/3
  33. −1/28
  34. −43/45
  35. 4/7
  36. −12/35
  37. −23/28
  38. −5/9
  39. −1/8
  40. 62/45

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