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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 3 · 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 −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −10/18
  2. 2.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −6/18
  3. 3.What is (−7/9) + (−4/9)? (a) −11/9 (b) 11/9 (c) −1/3 (d) −11/18
  4. 4.What is (−3/8) + (−1/2)? (a) −2/5 (b) 7/8 (c) 1/8 (d) −7/8
  5. 5.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  6. 6.Is 4/5 positive or negative? (a) Negative (b) Positive
  7. 7.Write −14/18 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −14/18 (d) 7/9
  8. 8.Which is smaller: −1/4 or 5/9? (a) −1/4 (b) 5/9
  9. 9.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −15/21 (d) 5/7
  10. 10.What is 1/6 + (−8/9)? (a) −7/15 (b) −13/18 (c) 19/18 (d) 13/18
  11. 11.What is (−4/9) + 3/4? (a) 11/36 (b) −1/13 (c) −43/36 (d) −11/36
  12. 12.Write −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −8/36
  13. 13.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  14. 14.Write −9/24 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) 3/8 (d) −9/24
  15. 15.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −2/7 or 1/5? (a) −2/7 (b) 1/5
  17. 17.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  18. 18.What is (−5/8) + 1/3? (a) −23/24 (b) −7/24 (c) 7/24 (d) −4/11
  19. 19.What is 5/8 + (−3/7)? (a) 59/56 (b) 2/15 (c) 11/56 (d) −11/56
  20. 20.Which is smaller: −1/2 or −1/8? (a) −1/8 (b) −1/2
  21. 21.What is (−1/2) + 2/3? (a) −7/6 (b) −1/6 (c) 1/5 (d) 1/6
  22. 22.What is the additive inverse of −3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  23. 23.Write −10/15 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −10/15
  24. 24.What is 6/7 + (−4/5)? (a) 1/6 (b) 2/35 (c) 58/35 (d) −2/35
  25. 25.What is (−2/7) + (−2/7)? (a) 0 (b) −2/7 (c) −4/7 (d) 4/7
  26. 26.Is −1/7 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −5/6 or −4/5? (a) −4/5 (b) −5/6
  28. 28.Is −2/6 positive or negative? (a) Negative (b) Positive
  29. 29.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−1/8) − 1/8? (a) −1/4 (b) −1/8 (c) 0 (d) 1/4
  31. 31.Write −8/18 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −8/18 (d) −9/4
  32. 32.Write −24/42 in standard form (lowest terms, positive denominator). (a) −24/42 (b) −4/7 (c) 4/7 (d) −7/4
  33. 33.Which is bigger: −2/3 or −2/7? (a) −2/3 (b) −2/7
  34. 34.What is the additive inverse of −3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  35. 35.What is 1/7 − (−1/2)? (a) 2/9 (b) 9/14 (c) −9/14 (d) −5/14
  36. 36.Write −15/35 in standard form (lowest terms, positive denominator). (a) −15/35 (b) 3/7 (c) −7/3 (d) −3/7
  37. 37.Write −25/35 in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −7/5 (d) −25/35
  38. 38.What is 1/7 + (−3/4)? (a) −17/28 (b) −2/11 (c) 17/28 (d) 25/28
  39. 39.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −4/32 (d) −1/8
  40. 40.Write −12/28 in standard form (lowest terms, positive denominator). (a) −12/28 (b) −7/3 (c) −3/7 (d) 3/7

Answer key

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

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