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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 917 · 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 (−4/9) − (−5/6)? (a) −7/18 (b) 1/15 (c) 7/18 (d) −23/18
  2. 2.Which is bigger: −1/7 or −1/5? (a) −1/5 (b) −1/7
  3. 3.Which is bigger: −5/9 or −2/3? (a) −2/3 (b) −5/9
  4. 4.Which is smaller: −1/5 or 8/9? (a) 8/9 (b) −1/5
  5. 5.Which is bigger: −4/7 or 1/3? (a) 1/3 (b) −4/7
  6. 6.What is 3/8 − (−1/4)? (a) 5/8 (b) 1/3 (c) −5/8 (d) 1/8
  7. 7.What is (−3/8) − (−1/4)? (a) 1/8 (b) −1/8 (c) −5/8 (d) −1/6
  8. 8.What is 6/7 − (−2/7)? (a) 4/7 (b) 8/7 (c) −8/7
  9. 9.What is the additive inverse of 1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  10. 10.What is (−3/4) − (−1/5)? (a) −11/20 (b) 11/20 (c) −19/20 (d) −2/9
  11. 11.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) −2/3 (c) −3/2 (d) 2/3
  12. 12.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  13. 13.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.What is (−1/8) − 5/9? (a) −49/72 (b) 49/72 (c) −6/17 (d) 31/72
  15. 15.Is 6/5 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/5) + (−2/7)? (a) −4/35 (b) −24/35 (c) −1/3 (d) 24/35
  17. 17.Which is smaller: −5/7 or −3/4? (a) −5/7 (b) −3/4
  18. 18.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  19. 19.Which is smaller: −3/4 or 2/5? (a) 2/5 (b) −3/4
  20. 20.What is 7/9 + (−2/9)? (a) −5/9 (b) 1 (c) 5/9 (d) 5/18
  21. 21.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  22. 22.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) −9/5 (c) −5/9 (d) 5/9
  23. 23.Which is smaller: −1/2 or −1/3? (a) −1/2 (b) −1/3
  24. 24.What is the additive inverse of 4/5? (a) −4/5 (b) 5/4 (c) 4/5 (d) −5/4
  25. 25.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  26. 26.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −16/36 (b) −4/9 (c) 4/9 (d) −9/4
  27. 27.What is 2/7 − (−3/5)? (a) −31/35 (b) −11/35 (c) 5/12 (d) 31/35
  28. 28.What is (−3/5) + 3/8? (a) −39/40 (b) −9/40 (c) 0 (d) 9/40
  29. 29.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −6/42 (d) −1/7
  30. 30.What is (−5/8) − (−1/2)? (a) 1/8 (b) −2/5 (c) −9/8 (d) −1/8
  31. 31.Is 3/9 positive or negative? (a) Positive (b) Negative
  32. 32.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  33. 33.What is 4/7 − (−7/9)? (a) −13/63 (b) 85/63 (c) 11/16 (d) −85/63
  34. 34.Is −5/9 positive or negative? (a) Negative (b) Positive
  35. 35.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  36. 36.What is (−7/9) − 2/5? (a) −53/45 (b) −9/14 (c) 53/45 (d) −17/45
  37. 37.Which is smaller: −6/7 or 2/5? (a) 2/5 (b) −6/7
  38. 38.What is (−1/5) − (−4/7)? (a) −27/35 (b) 13/35 (c) 1/4 (d) −13/35
  39. 39.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −15/27
  40. 40.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −2/3 (c) −3/2 (d) 3/2

Answer key

  1. 7/18
  2. −1/7
  3. −5/9
  4. −1/5
  5. 1/3
  6. 5/8
  7. −1/8
  8. 8/7
  9. −1/7
  10. −11/20
  11. −2/3
  12. Positive
  13. Positive
  14. −49/72
  15. Positive
  16. −24/35
  17. −3/4
  18. Positive
  19. −3/4
  20. 5/9
  21. Negative
  22. −5/9
  23. −1/2
  24. −4/5
  25. 9/7
  26. −4/9
  27. 31/35
  28. −9/40
  29. −1/7
  30. −1/8
  31. Positive
  32. Negative
  33. 85/63
  34. Negative
  35. −4/7
  36. −53/45
  37. −6/7
  38. 13/35
  39. −5/9
  40. −3/2

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