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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 449 · 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: −1/3 or −1/6? (a) −1/6 (b) −1/3
  2. 2.What is 7/9 + (−1/2)? (a) −5/18 (b) 5/18 (c) 23/18 (d) 6/11
  3. 3.What is 5/8 + (−6/7)? (a) −13/56 (b) 13/56 (c) −1/15 (d) 83/56
  4. 4.What is (−2/9) + (−1/2)? (a) 13/18 (b) −13/18 (c) 5/18 (d) −3/11
  5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2
  6. 6.What is (−2/3) + 7/9? (a) −1/9 (b) 1/9 (c) 5/12 (d) −13/9
  7. 7.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  8. 8.What is (−2/9) − 2/3? (a) −1/3 (b) −8/9 (c) 4/9 (d) 8/9
  9. 9.What is the reciprocal (multiplicative inverse) of 5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  10. 10.Is −2/7 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−1/4) + 3/5? (a) −17/20 (b) 2/9 (c) 7/20 (d) −7/20
  12. 12.What is (−3/5) + 1/7? (a) −1/6 (b) −26/35 (c) −16/35 (d) 16/35
  13. 13.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −24/30 (d) 4/5
  14. 14.What is 3/7 − (−1/4)? (a) −19/28 (b) 19/28 (c) 5/28 (d) 4/11
  15. 15.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  16. 16.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  17. 17.What is (−2/9) + (−1/3)? (a) 1/9 (b) −5/9 (c) −1/4 (d) 5/9
  18. 18.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/5) − (−8/9)? (a) 1/2 (b) 31/45 (c) −49/45 (d) −31/45
  20. 20.What is 3/5 + (−1/4)? (a) 2/9 (b) 17/20 (c) 7/20 (d) −7/20
  21. 21.Is 2/6 positive or negative? (a) Negative (b) Positive
  22. 22.What is (−3/4) − 8/9? (a) 59/36 (b) 5/36 (c) −11/13 (d) −59/36
  23. 23.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) −9/21 (d) 3/7
  24. 24.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −2/6
  25. 25.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) −5/8 (c) 5/8 (d) −8/5
  26. 26.Which is bigger: −7/8 or 3/4? (a) 3/4 (b) −7/8
  27. 27.What is 5/7 + (−1/7)? (a) 4/7 (b) 6/7 (c) 2/7 (d) −4/7
  28. 28.Which is bigger: −5/7 or −5/6? (a) −5/7 (b) −5/6
  29. 29.Which is bigger: −1/5 or 3/5? (a) −1/5 (b) 3/5
  30. 30.Which is bigger: −3/5 or −1/8? (a) −3/5 (b) −1/8
  31. 31.What is (−1/3) + (−3/5)? (a) −1/2 (b) 4/15 (c) 14/15 (d) −14/15
  32. 32.What is the additive inverse of −5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  33. 33.What is the additive inverse of 5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  34. 34.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  35. 35.Is −2/4 positive or negative? (a) Negative (b) Positive
  36. 36.Is −2/2 positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −2/9 or −3/7? (a) −3/7 (b) −2/9
  38. 38.Which is bigger: −5/9 or −3/5? (a) −3/5 (b) −5/9
  39. 39.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −24/28 (d) −6/7
  40. 40.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3

Answer key

  1. −1/6
  2. 5/18
  3. −13/56
  4. −13/18
  5. 5/2
  6. 1/9
  7. Negative
  8. −8/9
  9. 8/5
  10. Negative
  11. 7/20
  12. −16/35
  13. −4/5
  14. 19/28
  15. 2/5
  16. −7/6
  17. −5/9
  18. Negative
  19. 31/45
  20. 7/20
  21. Positive
  22. −59/36
  23. −3/7
  24. −1/3
  25. −5/8
  26. 3/4
  27. 4/7
  28. −5/7
  29. 3/5
  30. −1/8
  31. −14/15
  32. 5/7
  33. −5/8
  34. −6
  35. Negative
  36. Negative
  37. −2/9
  38. −5/9
  39. −6/7
  40. 3/2

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