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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 238 · 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.Which is smaller: −3/4 or −5/7? (a) −3/4 (b) −5/7
  2. 2.Write −6/48 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −6/48 (d) 1/8
  3. 3.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −8/36 (b) 2/9 (c) −2/9 (d) −9/2
  4. 4.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  5. 5.Which is bigger: −3/7 or −1/6? (a) −3/7 (b) −1/6
  6. 6.Which is bigger: −5/6 or 4/7? (a) 4/7 (b) −5/6
  7. 7.What is the additive inverse of −2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  8. 8.What is (−3/8) + (−2/5)? (a) −5/13 (b) −31/40 (c) 31/40 (d) 1/40
  9. 9.Which is bigger: −5/9 or −3/7? (a) −3/7 (b) −5/9
  10. 10.What is (−1/6) − 1/7? (a) −1/42 (b) −13/42 (c) −2/13 (d) 13/42
  11. 11.Which is bigger: −2/7 or −4/7? (a) −2/7 (b) −4/7
  12. 12.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −8/28 (d) −7/2
  13. 13.Which is smaller: −2/5 or 2/9? (a) 2/9 (b) −2/5
  14. 14.What is (−8/9) − 1/6? (a) −3/5 (b) 19/18 (c) −19/18 (d) −13/18
  15. 15.What is the additive inverse of −7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  16. 16.What is the additive inverse of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  17. 17.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  18. 18.Which is smaller: −5/7 or 6/7? (a) 6/7 (b) −5/7
  19. 19.Which is bigger: −2/5 or 4/5? (a) 4/5 (b) −2/5
  20. 20.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −6/10 (d) 3/5
  21. 21.What is 3/7 + (−2/5)? (a) 1/12 (b) 1/35 (c) 29/35 (d) −1/35
  22. 22.Which is bigger: −4/7 or −2/7? (a) −4/7 (b) −2/7
  23. 23.What is (−3/4) − 1/5? (a) 19/20 (b) −19/20 (c) −4/9 (d) −11/20
  24. 24.What is the additive inverse of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  25. 25.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  26. 26.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −9/2 (d) −4/18
  27. 27.Which is bigger: −2/9 or −3/4? (a) −2/9 (b) −3/4
  28. 28.What is (−5/8) + 1/8? (a) −3/4 (b) −1/2 (c) 1/2 (d) −1/4
  29. 29.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  30. 30.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −15/35 (c) −3/7 (d) −7/3
  31. 31.Which is bigger: −1/6 or 1/9? (a) −1/6 (b) 1/9
  32. 32.Is 3/9 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/7) − 3/4? (a) 17/28 (b) −25/28 (c) 25/28 (d) −4/11
  34. 34.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  35. 35.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  36. 36.What is (−1/3) + (−4/5)? (a) 17/15 (b) −5/8 (c) −17/15 (d) 7/15
  37. 37.Which is smaller: −3/8 or 7/8? (a) −3/8 (b) 7/8
  38. 38.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −6/14 (b) −7/3 (c) −3/7 (d) 3/7
  39. 39.What is (−3/4) − 4/7? (a) −37/28 (b) −5/28 (c) −7/11 (d) 37/28
  40. 40.What is 1/3 − (−5/7)? (a) −8/21 (b) 22/21 (c) −22/21 (d) 3/5

Answer key

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

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