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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 641 · 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.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −15/24 (d) −8/5
  2. 2.Write −30/42 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −30/42 (c) 5/7 (d) −7/5
  3. 3.What is the additive inverse of −1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  4. 4.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −3/8 (c) −8/3 (d) 3/8
  5. 5.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  6. 6.What is (−5/7) + 3/4? (a) −41/28 (b) −1/28 (c) −2/11 (d) 1/28
  7. 7.What is (−5/9) − 7/9? (a) 4/3 (b) 2/9 (c) −2/3 (d) −4/3
  8. 8.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  9. 9.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −3/18 (b) −6/1 (c) −1/6 (d) 1/6
  10. 10.What is (−1/2) + (−4/9)? (a) −17/18 (b) −1/18 (c) −5/11 (d) 17/18
  11. 11.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) −6/7 (d) 6/7
  12. 12.What is (−1/8) + (−3/7)? (a) −31/56 (b) −4/15 (c) 17/56 (d) 31/56
  13. 13.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −9/4 (d) −20/45
  14. 14.What is (−5/9) − 4/5? (a) −9/14 (b) 11/45 (c) −61/45 (d) 61/45
  15. 15.Is −7/8 positive or negative? (a) Positive (b) Negative
  16. 16.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −8/36 (b) −9/2 (c) −2/9 (d) 2/9
  17. 17.Which is smaller: −3/8 or −2/9? (a) −2/9 (b) −3/8
  18. 18.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) −4/7 (c) −7/4 (d) 4/7
  19. 19.Which is bigger: −5/7 or 8/9? (a) −5/7 (b) 8/9
  20. 20.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  21. 21.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  22. 22.Which is bigger: −1/8 or 6/7? (a) −1/8 (b) 6/7
  23. 23.What is (−2/7) − (−2/7)? (a) −4/7 (b) 0
  24. 24.What is (−1/8) + 5/7? (a) −33/56 (b) −47/56 (c) 4/15 (d) 33/56
  25. 25.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −6/54 (d) −1/9
  26. 26.Which is bigger: −4/7 or 1/2? (a) 1/2 (b) −4/7
  27. 27.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  28. 28.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −8/7 (d) −28/32
  29. 29.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −3/24 (c) 1/8 (d) −1/8
  30. 30.What is (−1/9) − (−1/8)? (a) 0 (b) 1/72 (c) −1/72 (d) −17/72
  31. 31.Is 3/9 positive or negative? (a) Positive (b) Negative
  32. 32.What is 4/5 + (−1/4)? (a) 1/3 (b) 21/20 (c) −11/20 (d) 11/20
  33. 33.What is 7/9 − (−7/8)? (a) −7/72 (b) −119/72 (c) 14/17 (d) 119/72
  34. 34.What is (−5/6) + 1/5? (a) −19/30 (b) −31/30 (c) 19/30 (d) −4/11
  35. 35.What is 1/5 + (−1/9)? (a) −4/45 (b) 0 (c) 4/45 (d) 14/45
  36. 36.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  37. 37.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  38. 38.Is 9/5 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−2/7) − (−1/6)? (a) −19/42 (b) −1/13 (c) −5/42 (d) 5/42
  40. 40.What is (−1/5) − 1/5? (a) −1/5 (b) 0 (c) 2/5 (d) −2/5

Answer key

  1. −5/8
  2. −5/7
  3. 1/2
  4. −3/8
  5. −3
  6. 1/28
  7. −4/3
  8. Positive
  9. −1/6
  10. −17/18
  11. −6/7
  12. −31/56
  13. −4/9
  14. −61/45
  15. Negative
  16. −2/9
  17. −3/8
  18. −4/7
  19. 8/9
  20. −2/3
  21. −1/4
  22. 6/7
  23. 0
  24. 33/56
  25. −1/9
  26. 1/2
  27. −4/5
  28. −7/8
  29. −1/8
  30. 1/72
  31. Positive
  32. 11/20
  33. 119/72
  34. −19/30
  35. 4/45
  36. 7/3
  37. Positive
  38. Positive
  39. −5/42
  40. −2/5

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