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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 903 · 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 −1/(−2) positive or negative? (a) Negative (b) Positive
  2. 2.Is 6/8 positive or negative? (a) Negative (b) Positive
  3. 3.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −8/9 or 3/7? (a) −8/9 (b) 3/7
  5. 5.Is −5/7 positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −3/7 or 1/2? (a) 1/2 (b) −3/7
  7. 7.What is (−1/4) + (−3/7)? (a) −19/28 (b) −4/11 (c) 5/28 (d) 19/28
  8. 8.Which is bigger: −8/9 or −2/7? (a) −2/7 (b) −8/9
  9. 9.Is 6/4 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−7/8) − 3/5? (a) −59/40 (b) −10/13 (c) 59/40 (d) −11/40
  11. 11.Is 5/5 positive or negative? (a) Negative (b) Positive
  12. 12.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −7/9 (d) −35/45
  13. 13.Which is smaller: −2/9 or −1/3? (a) −1/3 (b) −2/9
  14. 14.Which is smaller: −7/8 or 3/8? (a) −7/8 (b) 3/8
  15. 15.Which is bigger: −2/3 or −3/7? (a) −3/7 (b) −2/3
  16. 16.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  17. 17.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −10/25
  18. 18.Is −6/4 positive or negative? (a) Negative (b) Positive
  19. 19.Write −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −3/6 (d) −1/2
  20. 20.Write −20/24 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −20/24 (d) −6/5
  21. 21.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −6/48 (d) −8/1
  22. 22.What is 1/3 − (−1/9)? (a) 4/9 (b) −4/9 (c) 1/6 (d) 2/9
  23. 23.Write −28/36 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −28/36 (c) −9/7 (d) −7/9
  24. 24.Is 8/6 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/5) + (−6/7)? (a) 23/35 (b) −7/12 (c) −37/35 (d) 37/35
  26. 26.What is 2/9 − (−4/9)? (a) −2/3 (b) −2/9 (c) 2/3 (d) 1/3
  27. 27.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −3/5 or 2/5? (a) −3/5 (b) 2/5
  29. 29.Is −7/3 positive or negative? (a) Positive (b) Negative
  30. 30.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −18/24 (d) −3/4
  31. 31.Is −1/6 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−2/5) + 2/7? (a) −4/35 (b) 0 (c) 4/35 (d) −24/35
  33. 33.Which is smaller: −5/6 or −1/5? (a) −5/6 (b) −1/5
  34. 34.What is (−2/3) + 1/9? (a) −1/12 (b) 5/9 (c) −7/9 (d) −5/9
  35. 35.What is (−4/7) + (−5/6)? (a) 59/42 (b) 11/42 (c) −9/13 (d) −59/42
  36. 36.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −12/14 (b) −6/7 (c) −7/6 (d) 6/7
  37. 37.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −8/28 (d) 2/7
  38. 38.Which is bigger: −1/3 or −1/8? (a) −1/8 (b) −1/3
  39. 39.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  40. 40.Is −1/3 positive or negative? (a) Positive (b) Negative

Answer key

  1. Positive
  2. Positive
  3. Negative
  4. −8/9
  5. Negative
  6. −3/7
  7. −19/28
  8. −2/7
  9. Positive
  10. −59/40
  11. Positive
  12. −7/9
  13. −1/3
  14. −7/8
  15. −3/7
  16. 8/5
  17. −2/5
  18. Negative
  19. −1/2
  20. −5/6
  21. −1/8
  22. 4/9
  23. −7/9
  24. Positive
  25. −37/35
  26. 2/3
  27. Positive
  28. 2/5
  29. Negative
  30. −3/4
  31. Negative
  32. −4/35
  33. −5/6
  34. −5/9
  35. −59/42
  36. −6/7
  37. −2/7
  38. −1/8
  39. Positive
  40. Negative

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