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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 543 · 40 sums
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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.Is 2/2 positive or negative? (a) Negative (b) Positive
  2. 2.Write −12/16 in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −12/16 (d) −4/3
  3. 3.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −35/45 (c) 7/9 (d) −7/9
  4. 4.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −10/14 (d) −7/5
  5. 5.What is the additive inverse of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  6. 6.Which is smaller: −2/7 or −8/9? (a) −2/7 (b) −8/9
  7. 7.Is −5/5 positive or negative? (a) Positive (b) Negative
  8. 8.Which is smaller: −5/6 or −1/2? (a) −1/2 (b) −5/6
  9. 9.What is (−3/4) + 1/9? (a) −31/36 (b) 23/36 (c) −23/36 (d) −2/13
  10. 10.What is 5/6 + (−5/8)? (a) 35/24 (b) −5/24 (c) 0 (d) 5/24
  11. 11.Which is smaller: −1/5 or 7/9? (a) −1/5 (b) 7/9
  12. 12.What is 5/7 − (−1/7)? (a) 4/7 (b) 6/7 (c) −6/7 (d) 3/7
  13. 13.What is (−1/4) − (−1/8)? (a) −3/8 (b) 1/8 (c) 0 (d) −1/8
  14. 14.Which is bigger: −3/7 or 1/3? (a) −3/7 (b) 1/3
  15. 15.What is (−3/4) + 1/2? (a) −5/4 (b) −1/3 (c) 1/4 (d) −1/4
  16. 16.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  17. 17.Which is bigger: −3/4 or 5/6? (a) 5/6 (b) −3/4
  18. 18.What is (−1/3) − 4/9? (a) 7/9 (b) 1/9 (c) −5/12 (d) −7/9
  19. 19.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −4/24 (d) −6/1
  20. 20.Write −6/54 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) −6/54 (d) 1/9
  21. 21.What is (−2/5) − (−5/6)? (a) −13/30 (b) 13/30 (c) 3/11 (d) −37/30
  22. 22.What is (−5/8) + (−5/9)? (a) −10/17 (b) −85/72 (c) 85/72 (d) −5/72
  23. 23.What is 3/7 + (−4/7)? (a) −1/14 (b) −1/7 (c) 1/7 (d) 1
  24. 24.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/8) − 2/3? (a) 19/24 (b) 13/24 (c) −3/11 (d) −19/24
  26. 26.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −6/9 (d) −2/3
  27. 27.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −7/6 (c) −24/28 (d) 6/7
  28. 28.What is the reciprocal (multiplicative inverse) of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  29. 29.Is −3/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.Write −24/27 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −24/27 (d) 8/9
  31. 31.Is 3/9 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−1/6) + 4/7? (a) 3/13 (b) 17/42 (c) −17/42 (d) −31/42
  33. 33.Which is bigger: −3/8 or 4/7? (a) 4/7 (b) −3/8
  34. 34.What is the additive inverse of −1/8? (a) 8 (b) 1/8 (c) −8 (d) −1/8
  35. 35.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  36. 36.Write −8/14 in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −7/4 (d) −8/14
  37. 37.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  38. 38.Write −2/16 in standard form (lowest terms, positive denominator). (a) −2/16 (b) −1/8 (c) −8/1 (d) 1/8
  39. 39.Which is smaller: −1/7 or 5/9? (a) −1/7 (b) 5/9
  40. 40.What is (−1/4) − (−1/3)? (a) 1/12 (b) −7/12 (c) −1/12 (d) 0

Answer key

  1. Positive
  2. −3/4
  3. −7/9
  4. −5/7
  5. −1/4
  6. −8/9
  7. Negative
  8. −5/6
  9. −23/36
  10. 5/24
  11. −1/5
  12. 6/7
  13. −1/8
  14. 1/3
  15. −1/4
  16. −1/2
  17. 5/6
  18. −7/9
  19. −1/6
  20. −1/9
  21. 13/30
  22. −85/72
  23. −1/7
  24. Negative
  25. −19/24
  26. −2/3
  27. −6/7
  28. −7
  29. Positive
  30. −8/9
  31. Positive
  32. 17/42
  33. 4/7
  34. 1/8
  35. Positive
  36. −4/7
  37. Negative
  38. −1/8
  39. −1/7
  40. 1/12

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