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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 850 · 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.Which is smaller: −7/8 or −3/4? (a) −7/8 (b) −3/4
  2. 2.Which is smaller: −7/8 or 1/6? (a) 1/6 (b) −7/8
  3. 3.Write −25/40 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −25/40 (c) −5/8 (d) −8/5
  4. 4.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −8/7 (d) −28/32
  5. 5.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  6. 6.Write −24/27 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −24/27 (c) −9/8 (d) 8/9
  7. 7.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) 2/3 (c) −2/3 (d) −3/2
  8. 8.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −20/32 (b) 5/8 (c) −8/5 (d) −5/8
  9. 9.Is 9/6 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−5/9) + 2/3? (a) −1/9 (b) −1/4 (c) 1/9 (d) −11/9
  11. 11.What is 2/3 − (−3/5)? (a) 19/15 (b) −19/15 (c) 1/15 (d) 5/8
  12. 12.Which is smaller: −1/5 or 1/8? (a) 1/8 (b) −1/5
  13. 13.Is 8/9 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  15. 15.What is (−1/2) − 4/9? (a) −1/18 (b) 17/18 (c) −5/11 (d) −17/18
  16. 16.What is (−5/7) + 1/4? (a) −4/11 (b) −13/28 (c) 13/28 (d) −27/28
  17. 17.What is (−5/8) + (−5/8)? (a) −5/8 (b) 5/4 (c) 0 (d) −5/4
  18. 18.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −3/1 (c) 1/3 (d) −1/3
  19. 19.Write −12/14 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −12/14 (c) −7/6 (d) 6/7
  20. 20.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  21. 21.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −12/21 (d) −4/7
  22. 22.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) −3/4 (c) 3/4 (d) −4/3
  23. 23.What is (−3/5) − 7/8? (a) −10/13 (b) 11/40 (c) 59/40 (d) −59/40
  24. 24.What is (−1/3) + 7/8? (a) 13/24 (b) 6/11 (c) −29/24 (d) −13/24
  25. 25.Write −6/21 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −6/21
  26. 26.What is the additive inverse of 4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  27. 27.What is (−3/4) − (−4/5)? (a) −1/20 (b) −31/20 (c) 1/20 (d) 1/9
  28. 28.What is 8/9 − (−4/5)? (a) 4/45 (b) −76/45 (c) 76/45 (d) 6/7
  29. 29.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 6 (c) −6 (d) 1/6
  30. 30.What is (−1/6) + 3/7? (a) 2/13 (b) −25/42 (c) −11/42 (d) 11/42
  31. 31.What is 7/9 + (−1/3)? (a) 1/2 (b) −4/9 (c) 10/9 (d) 4/9
  32. 32.Which is smaller: −2/7 or −3/5? (a) −3/5 (b) −2/7
  33. 33.What is 1/3 − (−3/5)? (a) 1/2 (b) 14/15 (c) −4/15 (d) −14/15
  34. 34.What is (−3/4) + 1/6? (a) −1/5 (b) 7/12 (c) −7/12 (d) −11/12
  35. 35.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −12/28 (d) −7/3
  36. 36.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  37. 37.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  38. 38.What is the additive inverse of 1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  39. 39.What is (−5/7) − 1/4? (a) −6/11 (b) 27/28 (c) −13/28 (d) −27/28
  40. 40.What is (−1/2) + (−3/4)? (a) −5/4 (b) −2/3 (c) 1/4 (d) 5/4

Answer key

  1. −7/8
  2. −7/8
  3. −5/8
  4. −7/8
  5. Negative
  6. −8/9
  7. −2/3
  8. −5/8
  9. Positive
  10. 1/9
  11. 19/15
  12. −1/5
  13. Positive
  14. 3
  15. −17/18
  16. −13/28
  17. −5/4
  18. −1/3
  19. −6/7
  20. Negative
  21. −4/7
  22. −3/4
  23. −59/40
  24. 13/24
  25. −2/7
  26. −4/5
  27. 1/20
  28. 76/45
  29. 6
  30. 11/42
  31. 4/9
  32. −3/5
  33. 14/15
  34. −7/12
  35. −3/7
  36. Positive
  37. Negative
  38. −1/7
  39. −27/28
  40. −5/4

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