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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 605 · 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.Write −30/35 in standard form (lowest terms, positive denominator). (a) −30/35 (b) −7/6 (c) −6/7 (d) 6/7
  2. 2.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −21/24 (b) −7/8 (c) −8/7 (d) 7/8
  3. 3.What is (−1/3) + 6/7? (a) −25/21 (b) −11/21 (c) 11/21 (d) 1/2
  4. 4.What is (−3/5) − (−5/6)? (a) −7/30 (b) −43/30 (c) 2/11 (d) 7/30
  5. 5.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −6/9 (b) 2/3 (c) −3/2 (d) −2/3
  6. 6.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −15/21 (d) −5/7
  7. 7.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) −5/2 (c) 2/5 (d) −2/5
  8. 8.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  9. 9.Write −8/12 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −8/12
  10. 10.What is (−7/9) + (−1/2)? (a) −23/18 (b) −5/18 (c) 23/18 (d) −8/11
  11. 11.Which is bigger: −3/8 or 1/5? (a) 1/5 (b) −3/8
  12. 12.Write −20/36 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −20/36 (c) −9/5 (d) −5/9
  13. 13.Write −24/54 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) −24/54 (d) 4/9
  14. 14.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  15. 15.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  16. 16.What is 7/9 − (−4/5)? (a) 71/45 (b) 11/14 (c) −71/45 (d) −1/45
  17. 17.What is (−1/7) + 4/9? (a) −19/63 (b) 19/63 (c) −37/63 (d) 3/16
  18. 18.What is (−1/8) − (−5/9)? (a) 31/72 (b) −49/72 (c) −31/72 (d) 4/17
  19. 19.What is (−1/5) + (−4/7)? (a) −27/35 (b) 13/35 (c) −5/12 (d) 27/35
  20. 20.What is 1/7 + (−7/9)? (a) 40/63 (b) −3/8 (c) 58/63 (d) −40/63
  21. 21.What is (−3/5) − 2/7? (a) 31/35 (b) −11/35 (c) −5/12 (d) −31/35
  22. 22.What is 3/4 + (−2/9)? (a) 35/36 (b) −19/36 (c) 1/13 (d) 19/36
  23. 23.What is the additive inverse of 3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  24. 24.Which is smaller: −5/6 or −1/3? (a) −1/3 (b) −5/6
  25. 25.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −18/42
  26. 26.What is 1/9 − (−2/3)? (a) −7/9 (b) 1/4 (c) −5/9 (d) 7/9
  27. 27.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  28. 28.Which is smaller: −8/9 or 3/4? (a) 3/4 (b) −8/9
  29. 29.What is (−2/3) + (−4/7)? (a) 26/21 (b) −3/5 (c) −2/21 (d) −26/21
  30. 30.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −6/21
  31. 31.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  32. 32.What is (−1/7) − 4/5? (a) −33/35 (b) 33/35 (c) 23/35 (d) −5/12
  33. 33.Write −8/14 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) 4/7 (d) −8/14
  34. 34.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) 3/7 (d) −12/28
  35. 35.What is 1/2 − (−7/8)? (a) 4/5 (b) 11/8 (c) −11/8 (d) −3/8
  36. 36.Which is smaller: −5/8 or 2/3? (a) 2/3 (b) −5/8
  37. 37.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  38. 38.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) −7/4 (c) 4/7 (d) −4/7
  39. 39.What is 3/7 + (−3/7)? (a) 6/7 (b) 0
  40. 40.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8

Answer key

  1. −6/7
  2. −7/8
  3. 11/21
  4. 7/30
  5. −2/3
  6. −5/7
  7. −2/5
  8. 2/9
  9. −2/3
  10. −23/18
  11. 1/5
  12. −5/9
  13. −4/9
  14. 9/4
  15. Positive
  16. 71/45
  17. 19/63
  18. 31/72
  19. −27/35
  20. −40/63
  21. −31/35
  22. 19/36
  23. −3/4
  24. −5/6
  25. −3/7
  26. 7/9
  27. 3/2
  28. −8/9
  29. −26/21
  30. −2/7
  31. −9/5
  32. −33/35
  33. −4/7
  34. −3/7
  35. 11/8
  36. −5/8
  37. 3
  38. −4/7
  39. 0
  40. 5/8

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