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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 28 · 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 (−8/9) − 5/6? (a) −31/18 (b) 31/18 (c) −1/18 (d) −13/15
  2. 2.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −21/24 (c) −8/7 (d) −7/8
  3. 3.What is (−5/6) + 2/3? (a) 1/6 (b) −1/6 (c) −1/3 (d) −3/2
  4. 4.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −9/12 (d) 3/4
  5. 5.Which is smaller: −3/8 or −5/6? (a) −5/6 (b) −3/8
  6. 6.What is (−1/3) + 4/5? (a) −7/15 (b) −17/15 (c) 3/8 (d) 7/15
  7. 7.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −2/8
  8. 8.What is 5/9 − (−4/9)? (a) 1/2 (b) −1 (c) 1 (d) 1/9
  9. 9.Is 3/3 positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of −6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  11. 11.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −6/36 (d) 1/6
  12. 12.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  13. 13.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −12/14 (c) −7/6 (d) −6/7
  14. 14.Which is bigger: −4/5 or −8/9? (a) −8/9 (b) −4/5
  15. 15.Is 8/6 positive or negative? (a) Positive (b) Negative
  16. 16.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  17. 17.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −2/18 (c) −9/1 (d) 1/9
  18. 18.What is 3/8 − (−6/7)? (a) −69/56 (b) 3/5 (c) 69/56 (d) −27/56
  19. 19.What is 1/8 + (−2/9)? (a) 25/72 (b) −7/72 (c) −1/17 (d) 7/72
  20. 20.Which is smaller: −6/7 or −1/3? (a) −1/3 (b) −6/7
  21. 21.Is 6/8 positive or negative? (a) Positive (b) Negative
  22. 22.Write −4/6 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −4/6 (d) 2/3
  23. 23.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/1 (d) −2/8
  24. 24.What is (−1/2) + 2/7? (a) 3/14 (b) −11/14 (c) 1/9 (d) −3/14
  25. 25.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  26. 26.What is 4/5 − (−6/7)? (a) 5/6 (b) −2/35 (c) 58/35 (d) −58/35
  27. 27.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.Which is smaller: −1/4 or −7/8? (a) −7/8 (b) −1/4
  29. 29.What is the additive inverse of −1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  30. 30.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −6/18 (b) −3/1 (c) 1/3 (d) −1/3
  31. 31.Is −1/2 positive or negative? (a) Positive (b) Negative
  32. 32.Is 3/8 positive or negative? (a) Negative (b) Positive
  33. 33.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) 3/4 (d) −3/4
  34. 34.Is −7/(−3) positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −1/3 or 5/7? (a) −1/3 (b) 5/7
  36. 36.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −3/27 (c) −9/1 (d) 1/9
  37. 37.Which is bigger: −5/7 or 2/3? (a) 2/3 (b) −5/7
  38. 38.What is 2/7 − (−1/5)? (a) 3/35 (b) 1/4 (c) 17/35 (d) −17/35
  39. 39.Is 5/6 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −8/9 or 7/8? (a) 7/8 (b) −8/9

Answer key

  1. −31/18
  2. −7/8
  3. −1/6
  4. −3/4
  5. −5/6
  6. 7/15
  7. −1/4
  8. 1
  9. Positive
  10. 6/7
  11. −1/6
  12. Negative
  13. −6/7
  14. −4/5
  15. Positive
  16. 8/7
  17. −1/9
  18. 69/56
  19. −7/72
  20. −6/7
  21. Positive
  22. −2/3
  23. −1/4
  24. −3/14
  25. −9/5
  26. 58/35
  27. Positive
  28. −7/8
  29. 1/7
  30. −1/3
  31. Negative
  32. Positive
  33. −3/4
  34. Positive
  35. 5/7
  36. −1/9
  37. 2/3
  38. 17/35
  39. Positive
  40. 7/8

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