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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 234 · 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.Which is bigger: −1/4 or −4/9? (a) −4/9 (b) −1/4
  2. 2.What is (−1/6) + 7/9? (a) −17/18 (b) 2/5 (c) −11/18 (d) 11/18
  3. 3.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −48/54 (c) 8/9 (d) −8/9
  4. 4.Which is bigger: −5/7 or −2/3? (a) −5/7 (b) −2/3
  5. 5.Write −6/21 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −6/21 (d) −2/7
  6. 6.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −6/54 (b) −1/9 (c) 1/9 (d) −9/1
  7. 7.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  8. 8.What is (−7/9) − 7/9? (a) −7/9 (b) 14/9 (c) 0 (d) −14/9
  9. 9.What is the additive inverse of −4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  10. 10.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) 9/2 (c) −9/2 (d) −2/9
  11. 11.What is (−1/2) + (−1/7)? (a) −5/14 (b) 9/14 (c) −9/14 (d) −2/9
  12. 12.Which is bigger: −3/5 or −2/9? (a) −2/9 (b) −3/5
  13. 13.What is 3/8 − (−2/3)? (a) −25/24 (b) 5/11 (c) −7/24 (d) 25/24
  14. 14.Is 2/8 positive or negative? (a) Negative (b) Positive
  15. 15.What is 3/7 + (−3/7)? (a) 6/7 (b) 0
  16. 16.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −3/12 (c) −1/4 (d) −4/1
  17. 17.What is (−2/3) − 2/3? (a) −2/3 (b) 0 (c) −4/3 (d) 4/3
  18. 18.Which is smaller: −1/7 or −5/6? (a) −1/7 (b) −5/6
  19. 19.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  20. 20.What is (−5/6) + 3/4? (a) −1/12 (b) 1/12 (c) −19/12 (d) −1/5
  21. 21.What is (−2/3) − (−1/9)? (a) 5/9 (b) −1/12 (c) −5/9 (d) −7/9
  22. 22.What is the additive inverse of 2/7? (a) 7/2 (b) −2/7 (c) −7/2 (d) 2/7
  23. 23.What is 1/5 − (−3/4)? (a) 4/9 (b) −11/20 (c) 19/20 (d) −19/20
  24. 24.Which is bigger: −5/8 or −1/5? (a) −1/5 (b) −5/8
  25. 25.What is (−1/7) + 7/8? (a) −41/56 (b) 2/5 (c) 41/56 (d) −57/56
  26. 26.What is (−3/7) + 3/5? (a) −36/35 (b) −6/35 (c) 0 (d) 6/35
  27. 27.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  28. 28.Is 7/3 positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −3/5 or −1/3? (a) −3/5 (b) −1/3
  30. 30.What is (−6/7) − 6/7? (a) −12/7 (b) 0 (c) −6/7 (d) 12/7
  31. 31.What is 1/5 − (−1/2)? (a) 7/10 (b) −7/10 (c) −3/10 (d) 2/7
  32. 32.Which is bigger: −3/5 or −5/7? (a) −3/5 (b) −5/7
  33. 33.What is (−3/4) − 2/7? (a) 29/28 (b) −13/28 (c) −5/11 (d) −29/28
  34. 34.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  35. 35.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  37. 37.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  38. 38.What is (−2/9) − 3/8? (a) −43/72 (b) 43/72 (c) −5/17 (d) 11/72
  39. 39.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  40. 40.What is (−4/5) + (−5/6)? (a) 49/30 (b) −9/11 (c) −49/30 (d) 1/30

Answer key

  1. −1/4
  2. 11/18
  3. −8/9
  4. −2/3
  5. −2/7
  6. −1/9
  7. −3/2
  8. −14/9
  9. 4/9
  10. −9/2
  11. −9/14
  12. −2/9
  13. 25/24
  14. Positive
  15. 0
  16. −1/4
  17. −4/3
  18. −5/6
  19. −6/5
  20. −1/12
  21. −5/9
  22. −2/7
  23. 19/20
  24. −1/5
  25. 41/56
  26. 6/35
  27. −9/4
  28. Positive
  29. −1/3
  30. −12/7
  31. 7/10
  32. −3/5
  33. −29/28
  34. 5/3
  35. Negative
  36. 4/3
  37. 8
  38. −43/72
  39. 7/4
  40. −49/30

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