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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 684 · 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 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −6/15 (d) −2/5
  2. 2.What is 3/7 + (−1/3)? (a) 2/21 (b) 16/21 (c) 1/5 (d) −2/21
  3. 3.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  4. 4.What is (−4/9) − (−1/2)? (a) −17/18 (b) −1/18 (c) −3/11 (d) 1/18
  5. 5.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −15/24 (b) −5/8 (c) −8/5 (d) 5/8
  6. 6.Is 1/7 positive or negative? (a) Negative (b) Positive
  7. 7.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −6/42 (b) 1/7 (c) −7/1 (d) −1/7
  8. 8.What is (−2/9) − 1/9? (a) −1/9 (b) −1/3 (c) 1/3 (d) −1/6
  9. 9.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of 2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  11. 11.What is 1/6 + (−6/7)? (a) 43/42 (b) −29/42 (c) 29/42 (d) −5/13
  12. 12.What is the additive inverse of 2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  13. 13.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −2/9 or 6/7? (a) 6/7 (b) −2/9
  15. 15.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  16. 16.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −8/20 (d) 2/5
  17. 17.Which is smaller: −4/5 or −1/4? (a) −4/5 (b) −1/4
  18. 18.Which is smaller: −5/9 or −2/5? (a) −5/9 (b) −2/5
  19. 19.Is 4/8 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−5/8) − (−7/8)? (a) −3/2 (b) −1/4 (c) 1/4 (d) 1/8
  21. 21.What is the additive inverse of −6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  22. 22.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) 2/5 (c) −2/5 (d) −5/2
  23. 23.What is (−1/4) + 2/5? (a) −3/20 (b) 1/9 (c) 3/20 (d) −13/20
  24. 24.Write −20/24 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −6/5 (d) −20/24
  25. 25.What is the additive inverse of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  26. 26.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  27. 27.Write −4/20 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −4/20 (c) −1/5 (d) −5/1
  28. 28.What is 8/9 − (−2/5)? (a) −58/45 (b) 22/45 (c) 5/7 (d) 58/45
  29. 29.What is 5/7 − (−4/5)? (a) 3/4 (b) −3/35 (c) 53/35 (d) −53/35
  30. 30.What is 2/5 − (−4/5)? (a) −2/5 (b) −6/5 (c) 3/5 (d) 6/5
  31. 31.Which is bigger: −8/9 or −4/7? (a) −4/7 (b) −8/9
  32. 32.What is (−2/5) − (−8/9)? (a) −58/45 (b) 3/7 (c) −22/45 (d) 22/45
  33. 33.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −12/18
  34. 34.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  35. 35.What is (−7/9) − 5/7? (a) 94/63 (b) −4/63 (c) −3/4 (d) −94/63
  36. 36.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  37. 37.What is (−7/9) + 1/2? (a) −5/18 (b) −6/11 (c) −23/18 (d) 5/18
  38. 38.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −42/48 (d) −7/8
  39. 39.Which is bigger: −3/4 or 7/9? (a) −3/4 (b) 7/9
  40. 40.Which is bigger: −8/9 or −5/9? (a) −8/9 (b) −5/9

Answer key

  1. −2/5
  2. 2/21
  3. 3/5
  4. 1/18
  5. −5/8
  6. Positive
  7. −1/7
  8. −1/3
  9. Negative
  10. −2/5
  11. −29/42
  12. −2/7
  13. Positive
  14. 6/7
  15. Negative
  16. −2/5
  17. −4/5
  18. −5/9
  19. Positive
  20. 1/4
  21. 6/7
  22. −2/5
  23. 3/20
  24. −5/6
  25. 5/7
  26. Positive
  27. −1/5
  28. 58/45
  29. 53/35
  30. 6/5
  31. −4/7
  32. 22/45
  33. −2/3
  34. 4/3
  35. −94/63
  36. −3/8
  37. −5/18
  38. −7/8
  39. 7/9
  40. −5/9

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