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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 464 · 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 (−3/4) − (−4/5)? (a) −1/20 (b) 1/20 (c) −31/20 (d) 1/9
  2. 2.Which is bigger: −1/6 or 2/3? (a) −1/6 (b) 2/3
  3. 3.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −7/3 (d) −6/14
  4. 4.What is (−4/9) + (−5/9)? (a) −1 (b) −1/2 (c) 1 (d) 1/9
  5. 5.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  6. 6.What is (−3/8) + 1/3? (a) 1/24 (b) −1/24 (c) −17/24 (d) −2/11
  7. 7.What is (−7/9) + 2/9? (a) 5/9 (b) −5/18 (c) −5/9 (d) −1
  8. 8.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) 1/6 (c) 6 (d) −1/6
  9. 9.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −8/14 (b) −4/7 (c) −7/4 (d) 4/7
  10. 10.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −4/9 (d) −12/27
  11. 11.Is 8/(−3) positive or negative? (a) Negative (b) Positive
  12. 12.Is 2/3 positive or negative? (a) Negative (b) Positive
  13. 13.What is 4/9 + (−8/9)? (a) 4/9 (b) −4/9 (c) 4/3 (d) −2/9
  14. 14.What is 3/4 + (−8/9)? (a) 59/36 (b) −5/13 (c) 5/36 (d) −5/36
  15. 15.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  16. 16.Is −8/8 positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −1/7 or −5/9? (a) −1/7 (b) −5/9
  18. 18.What is (−2/9) + (−1/2)? (a) −13/18 (b) −3/11 (c) 5/18 (d) 13/18
  19. 19.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −2/18 (d) −1/9
  20. 20.What is (−4/9) + 1/5? (a) −11/45 (b) 11/45 (c) −29/45 (d) −3/14
  21. 21.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  22. 22.What is 1/9 + (−7/8)? (a) 55/72 (b) −6/17 (c) 71/72 (d) −55/72
  23. 23.What is the additive inverse of −1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  24. 24.What is (−5/7) + (−1/8)? (a) −33/56 (b) −47/56 (c) −2/5 (d) 47/56
  25. 25.Which is bigger: −1/6 or −2/3? (a) −1/6 (b) −2/3
  26. 26.Is −1/4 positive or negative? (a) Positive (b) Negative
  27. 27.Is 1/5 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−3/7) − 7/8? (a) 73/56 (b) 25/56 (c) −73/56 (d) −2/3
  29. 29.What is (−5/6) + 8/9? (a) −1/18 (b) 1/5 (c) −31/18 (d) 1/18
  30. 30.What is the additive inverse of −5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  31. 31.Which is bigger: −2/3 or −4/9? (a) −2/3 (b) −4/9
  32. 32.What is 3/5 − (−3/4)? (a) 27/20 (b) −3/20 (c) −27/20 (d) 2/3
  33. 33.Which is bigger: −5/9 or −2/3? (a) −2/3 (b) −5/9
  34. 34.Which is bigger: −2/7 or −1/3? (a) −1/3 (b) −2/7
  35. 35.Which is smaller: −1/4 or 1/7? (a) −1/4 (b) 1/7
  36. 36.What is (−1/5) + 1/7? (a) 0 (b) −2/35 (c) 2/35 (d) −12/35
  37. 37.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −3/27 (d) 1/9
  38. 38.What is the additive inverse of 6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  39. 39.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) 2/3 (d) −3/2
  40. 40.What is (−2/7) − (−4/9)? (a) −46/63 (b) 1/8 (c) 10/63 (d) −10/63

Answer key

  1. 1/20
  2. 2/3
  3. −3/7
  4. −1
  5. 4/3
  6. −1/24
  7. −5/9
  8. 6
  9. −4/7
  10. −4/9
  11. Negative
  12. Positive
  13. −4/9
  14. −5/36
  15. 4/5
  16. Negative
  17. −5/9
  18. −13/18
  19. −1/9
  20. −11/45
  21. Negative
  22. −55/72
  23. 1/9
  24. −47/56
  25. −1/6
  26. Negative
  27. Positive
  28. −73/56
  29. 1/18
  30. 5/9
  31. −4/9
  32. 27/20
  33. −5/9
  34. −2/7
  35. −1/4
  36. −2/35
  37. −1/9
  38. −6/7
  39. −2/3
  40. 10/63

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