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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 575 · 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 3/5 + (−1/6)? (a) 23/30 (b) 2/11 (c) 13/30 (d) −13/30
  2. 2.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  3. 3.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −3/9 (d) −1/3
  4. 4.What is the additive inverse of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  5. 5.What is (−1/9) − 1/3? (a) 2/9 (b) −4/9 (c) −1/6 (d) 4/9
  6. 6.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) −5/2 (c) 2/5 (d) −2/5
  7. 7.Which is bigger: −3/7 or −5/7? (a) −3/7 (b) −5/7
  8. 8.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −6/18 (c) −3/1 (d) 1/3
  9. 9.What is the additive inverse of −2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  10. 10.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  11. 11.Is 9/4 positive or negative? (a) Positive (b) Negative
  12. 12.What is 1/9 − (−2/9)? (a) −1/3 (b) 1/3 (c) −1/9 (d) 1/6
  13. 13.Is −8/2 positive or negative? (a) Positive (b) Negative
  14. 14.Is 4/3 positive or negative? (a) Positive (b) Negative
  15. 15.Which is smaller: −1/9 or −3/4? (a) −1/9 (b) −3/4
  16. 16.Is 8/4 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−3/5) − (−1/9)? (a) −22/45 (b) −32/45 (c) 22/45 (d) −1/7
  18. 18.What is the additive inverse of 1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  19. 19.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  20. 20.What is (−1/2) + (−2/3)? (a) 7/6 (b) −3/5 (c) −7/6 (d) 1/6
  21. 21.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −30/35 (b) −7/6 (c) 6/7 (d) −6/7
  22. 22.What is the additive inverse of −4/9? (a) 9/4 (b) −9/4 (c) 4/9 (d) −4/9
  23. 23.Write −10/14 in standard form (lowest terms, positive denominator). (a) −10/14 (b) 5/7 (c) −7/5 (d) −5/7
  24. 24.Write −6/30 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −6/30
  25. 25.Which is smaller: −3/7 or −1/8? (a) −1/8 (b) −3/7
  26. 26.What is (−1/8) + (−5/9)? (a) 49/72 (b) −6/17 (c) 31/72 (d) −49/72
  27. 27.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −6/8 (c) −3/4 (d) −4/3
  28. 28.What is 1/3 + (−6/7)? (a) 11/21 (b) 25/21 (c) −1/2 (d) −11/21
  29. 29.What is (−7/8) + (−2/5)? (a) −9/13 (b) −19/40 (c) −51/40 (d) 51/40
  30. 30.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) −2/1 (c) 1/2 (d) −1/2
  31. 31.Which is smaller: −1/8 or 4/9? (a) −1/8 (b) 4/9
  32. 32.What is (−1/8) + 1/2? (a) −3/8 (b) 3/8 (c) −5/8 (d) 0
  33. 33.Write −24/27 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −24/27 (c) −8/9 (d) 8/9
  34. 34.What is 3/7 + (−2/3)? (a) 5/21 (b) 1/10 (c) 23/21 (d) −5/21
  35. 35.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) −7/9 (c) 7/9 (d) 9/7
  36. 36.What is (−1/4) + 8/9? (a) −41/36 (b) −23/36 (c) 23/36 (d) 7/13
  37. 37.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  38. 38.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  39. 39.Is −5/2 positive or negative? (a) Positive (b) Negative
  40. 40.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −30/48 (c) −5/8 (d) −8/5

Answer key

  1. 13/30
  2. −4/5
  3. −1/3
  4. −1/7
  5. −4/9
  6. −2/5
  7. −3/7
  8. −1/3
  9. 2/9
  10. 5/4
  11. Positive
  12. 1/3
  13. Negative
  14. Positive
  15. −3/4
  16. Positive
  17. −22/45
  18. −1/5
  19. −9/2
  20. −7/6
  21. −6/7
  22. 4/9
  23. −5/7
  24. −1/5
  25. −3/7
  26. −49/72
  27. −3/4
  28. −11/21
  29. −51/40
  30. −1/2
  31. −1/8
  32. 3/8
  33. −8/9
  34. −5/21
  35. 9/7
  36. 23/36
  37. 7
  38. 7/5
  39. Negative
  40. −5/8

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