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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 159 · 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 additive inverse of 4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4
  2. 2.What is (−1/4) + (−1/4)? (a) −1/4 (b) −1/2 (c) 1/2 (d) 0
  3. 3.What is (−1/2) − (−4/9)? (a) −1/18 (b) −17/18 (c) 1/18 (d) 3/11
  4. 4.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  5. 5.Which is bigger: −5/7 or 3/4? (a) 3/4 (b) −5/7
  6. 6.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) 7 (c) −1/7 (d) 1/7
  7. 7.What is (−2/7) − 5/7? (a) 1 (b) 3/7 (c) −1/2 (d) −1
  8. 8.What is (−5/9) + 2/9? (a) −1/6 (b) −7/9 (c) −1/3 (d) 1/3
  9. 9.What is (−3/5) + 6/7? (a) −9/35 (b) 1/4 (c) 9/35 (d) −51/35
  10. 10.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  11. 11.What is (−8/9) + 2/9? (a) −10/9 (b) 2/3 (c) −1/3 (d) −2/3
  12. 12.What is the additive inverse of 1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  13. 13.What is 1/5 + (−2/3)? (a) 13/15 (b) −7/15 (c) −1/8 (d) 7/15
  14. 14.What is 3/8 − (−1/3)? (a) 17/24 (b) 1/24 (c) 4/11 (d) −17/24
  15. 15.What is 1/9 − (−2/3)? (a) 7/9 (b) −5/9 (c) −7/9 (d) 1/4
  16. 16.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  17. 17.What is 3/7 + (−3/5)? (a) −6/35 (b) 6/35 (c) 0 (d) 36/35
  18. 18.Which is smaller: −6/7 or −1/3? (a) −6/7 (b) −1/3
  19. 19.What is 1/6 + (−1/9)? (a) −1/18 (b) 1/18 (c) 5/18 (d) 0
  20. 20.Which is bigger: −2/3 or 3/8? (a) −2/3 (b) 3/8
  21. 21.Which is bigger: −1/2 or 5/6? (a) 5/6 (b) −1/2
  22. 22.Which is bigger: −1/8 or 4/7? (a) 4/7 (b) −1/8
  23. 23.What is 1/6 − (−1/9)? (a) 2/15 (b) −5/18 (c) 5/18 (d) 1/18
  24. 24.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  25. 25.What is (−3/4) + (−4/9)? (a) −11/36 (b) −7/13 (c) −43/36 (d) 43/36
  26. 26.Write −8/10 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −8/10 (c) −5/4 (d) −4/5
  27. 27.Which is smaller: −1/3 or −5/6? (a) −5/6 (b) −1/3
  28. 28.What is 1/2 + (−2/9)? (a) −5/18 (b) 5/18 (c) −1/11 (d) 13/18
  29. 29.Is −5/7 positive or negative? (a) Negative (b) Positive
  30. 30.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  31. 31.What is (−3/8) − (−5/8)? (a) 1/8 (b) −1 (c) 1/4 (d) −1/4
  32. 32.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −9/15
  33. 33.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −16/18
  34. 34.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  35. 35.Write −6/8 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −6/8 (d) −3/4
  36. 36.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  37. 37.What is (−5/9) − (−5/8)? (a) 0 (b) −5/72 (c) 5/72 (d) −85/72
  38. 38.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −40/45 (c) −9/8 (d) −8/9
  39. 39.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  40. 40.What is the additive inverse of −4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4

Answer key

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

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