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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 623 · 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 (−1/4) + 5/9? (a) 4/13 (b) −29/36 (c) −11/36 (d) 11/36
  2. 2.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  3. 3.Which is smaller: −1/7 or −1/5? (a) −1/5 (b) −1/7
  4. 4.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −24/30 (b) 4/5 (c) −4/5 (d) −5/4
  5. 5.Which is bigger: −1/7 or −1/3? (a) −1/7 (b) −1/3
  6. 6.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) 6 (c) −1/6 (d) 1/6
  8. 8.What is (−1/8) + 2/3? (a) 13/24 (b) −19/24 (c) 1/11 (d) −13/24
  9. 9.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −20/28 (d) −5/7
  10. 10.What is (−4/9) − 8/9? (a) −2/3 (b) 4/3 (c) −4/3 (d) 4/9
  11. 11.Is 4/6 positive or negative? (a) Positive (b) Negative
  12. 12.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/4) + (−5/9)? (a) −29/36 (b) 11/36 (c) −6/13 (d) 29/36
  14. 14.What is 2/9 − (−3/8)? (a) −43/72 (b) 43/72 (c) 5/17 (d) −11/72
  15. 15.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) 2/3 (c) −2/3 (d) −3/2
  16. 16.Which is bigger: −1/2 or 2/5? (a) −1/2 (b) 2/5
  17. 17.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  18. 18.Write −12/32 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −12/32 (c) −8/3 (d) −3/8
  19. 19.What is the additive inverse of 5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  20. 20.Which is bigger: −7/8 or −8/9? (a) −8/9 (b) −7/8
  21. 21.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  22. 22.What is the additive inverse of 2/9? (a) 9/2 (b) −2/9 (c) 2/9 (d) −9/2
  23. 23.Which is smaller: −7/8 or −6/7? (a) −6/7 (b) −7/8
  24. 24.Which is smaller: −3/5 or 2/9? (a) 2/9 (b) −3/5
  25. 25.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −4/10
  26. 26.What is the additive inverse of −4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  27. 27.What is (−1/4) + (−1/6)? (a) −1/5 (b) 5/12 (c) −5/12 (d) −1/12
  28. 28.What is (−6/7) + 1/5? (a) −37/35 (b) −5/12 (c) −23/35 (d) 23/35
  29. 29.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −12/30 (c) 2/5 (d) −2/5
  30. 30.What is (−6/7) − (−3/8)? (a) −27/56 (b) −69/56 (c) −1/5 (d) 27/56
  31. 31.Write −12/20 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −12/20 (c) −5/3 (d) 3/5
  32. 32.What is (−3/8) − (−2/9)? (a) −1/17 (b) 11/72 (c) −43/72 (d) −11/72
  33. 33.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −20/45
  34. 34.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  35. 35.Which is bigger: −1/5 or −8/9? (a) −1/5 (b) −8/9
  36. 36.What is 1/8 + (−2/3)? (a) −1/11 (b) 13/24 (c) −13/24 (d) 19/24
  37. 37.Which is smaller: −1/4 or −1/9? (a) −1/9 (b) −1/4
  38. 38.Is −5/2 positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  40. 40.Write −5/35 in standard form (lowest terms, positive denominator). (a) −5/35 (b) −7/1 (c) −1/7 (d) 1/7

Answer key

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

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