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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 311 · 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 1/3 − (−5/7)? (a) −22/21 (b) 22/21 (c) 3/5 (d) −8/21
  2. 2.Is −5/5 positive or negative? (a) Negative (b) Positive
  3. 3.What is 5/6 + (−7/8)? (a) −1/24 (b) 1/24 (c) −1/7 (d) 41/24
  4. 4.Which is bigger: −1/9 or −1/6? (a) −1/6 (b) −1/9
  5. 5.What is (−1/8) − 1/4? (a) −1/6 (b) 1/8 (c) −3/8 (d) 3/8
  6. 6.What is (−1/6) − (−4/9)? (a) −11/18 (b) −5/18 (c) 1/5 (d) 5/18
  7. 7.What is (−4/9) − 7/8? (a) 31/72 (b) −11/17 (c) 95/72 (d) −95/72
  8. 8.What is (−1/6) + 3/7? (a) −11/42 (b) 2/13 (c) −25/42 (d) 11/42
  9. 9.Is −7/4 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/6) + 3/4? (a) 7/12 (b) −11/12 (c) 1/5 (d) −7/12
  11. 11.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  12. 12.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  13. 13.Is −2/2 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−1/4) + 7/8? (a) −9/8 (b) −5/8 (c) 1/2 (d) 5/8
  15. 15.What is (−5/8) − 1/2? (a) 9/8 (b) −1/8 (c) −3/5 (d) −9/8
  16. 16.Write −2/16 in standard form (lowest terms, positive denominator). (a) −2/16 (b) 1/8 (c) −1/8 (d) −8/1
  17. 17.What is the additive inverse of 1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  18. 18.What is the additive inverse of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  19. 19.What is 2/7 + (−1/8)? (a) 1/15 (b) 23/56 (c) −9/56 (d) 9/56
  20. 20.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) 1/2 (d) −5/10
  21. 21.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  22. 22.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) −1/4 (d) 1/4
  23. 23.What is (−1/7) − 1/7? (a) 0 (b) −1/7 (c) 2/7 (d) −2/7
  24. 24.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  25. 25.What is 1/5 + (−4/9)? (a) 11/45 (b) 29/45 (c) −3/14 (d) −11/45
  26. 26.What is (−3/8) + 1/3? (a) −2/11 (b) 1/24 (c) −1/24 (d) −17/24
  27. 27.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −6/24 (c) −1/4 (d) 1/4
  28. 28.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −12/18
  29. 29.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −4/6 (d) −3/2
  30. 30.What is (−4/7) + (−6/7)? (a) −5/7 (b) 2/7 (c) 10/7 (d) −10/7
  31. 31.Which is smaller: −5/9 or −6/7? (a) −6/7 (b) −5/9
  32. 32.Which is smaller: −3/7 or −7/8? (a) −7/8 (b) −3/7
  33. 33.Write −15/35 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −15/35 (d) −3/7
  34. 34.Which is smaller: −5/8 or 7/8? (a) −5/8 (b) 7/8
  35. 35.Which is bigger: −3/4 or −7/8? (a) −3/4 (b) −7/8
  36. 36.Write −25/30 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −6/5 (d) −25/30
  37. 37.What is (−7/8) + 1/5? (a) 27/40 (b) −27/40 (c) −43/40 (d) −6/13
  38. 38.What is 8/9 + (−1/3)? (a) −5/9 (b) 7/12 (c) 5/9 (d) 11/9
  39. 39.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  40. 40.What is (−4/5) − (−7/8)? (a) −67/40 (b) −3/40 (c) 3/40 (d) 3/13

Answer key

  1. 22/21
  2. Negative
  3. −1/24
  4. −1/9
  5. −3/8
  6. 5/18
  7. −95/72
  8. 11/42
  9. Negative
  10. 7/12
  11. Negative
  12. Positive
  13. Negative
  14. 5/8
  15. −9/8
  16. −1/8
  17. −1/8
  18. −7/8
  19. 9/56
  20. −1/2
  21. 9/4
  22. −1/4
  23. −2/7
  24. −7/2
  25. −11/45
  26. −1/24
  27. −1/4
  28. −2/3
  29. −2/3
  30. −10/7
  31. −6/7
  32. −7/8
  33. −3/7
  34. −5/8
  35. −3/4
  36. −5/6
  37. −27/40
  38. 5/9
  39. −3/8
  40. 3/40

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