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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 611 · 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 (−3/7) − 4/5? (a) 13/35 (b) −7/12 (c) −43/35 (d) 43/35
  2. 2.Which is smaller: −5/9 or −2/7? (a) −2/7 (b) −5/9
  3. 3.Which is smaller: −8/9 or 2/3? (a) 2/3 (b) −8/9
  4. 4.What is 5/9 − (−1/3)? (a) 1/2 (b) −8/9 (c) 2/9 (d) 8/9
  5. 5.What is (−7/8) + (−1/8)? (a) −1 (b) 1 (c) −1/2 (d) −3/4
  6. 6.Is −1/7 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−3/4) − (−1/5)? (a) 11/20 (b) −19/20 (c) −11/20 (d) −2/9
  8. 8.What is (−5/7) + (−4/5)? (a) 53/35 (b) −3/4 (c) −53/35 (d) 3/35
  9. 9.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  10. 10.What is 3/8 + (−5/9)? (a) 67/72 (b) −2/17 (c) −13/72 (d) 13/72
  11. 11.What is (−1/5) − (−3/4)? (a) 2/9 (b) −11/20 (c) 11/20 (d) −19/20
  12. 12.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  13. 13.What is (−4/7) − (−5/8)? (a) 1/15 (b) −3/56 (c) −67/56 (d) 3/56
  14. 14.What is (−7/8) + (−2/9)? (a) −79/72 (b) 79/72 (c) −9/17 (d) −47/72
  15. 15.Which is smaller: −1/2 or −5/7? (a) −1/2 (b) −5/7
  16. 16.What is (−6/7) + (−5/8)? (a) −11/15 (b) −83/56 (c) −13/56 (d) 83/56
  17. 17.What is the additive inverse of −1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  18. 18.What is (−1/4) + 1/7? (a) −11/28 (b) 0 (c) −3/28 (d) 3/28
  19. 19.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −15/18 (d) 5/6
  20. 20.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  21. 21.What is (−3/4) − 1/8? (a) −5/8 (b) 7/8 (c) −7/8 (d) −1/3
  22. 22.What is (−2/3) + 1/5? (a) 7/15 (b) −13/15 (c) −1/8 (d) −7/15
  23. 23.What is (−1/4) + 4/7? (a) 9/28 (b) 3/11 (c) −23/28 (d) −9/28
  24. 24.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −12/54 (d) −2/9
  25. 25.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  26. 26.Which is bigger: −2/9 or −4/5? (a) −4/5 (b) −2/9
  27. 27.Which is smaller: −3/7 or 1/8? (a) −3/7 (b) 1/8
  28. 28.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −12/18 (c) −2/3 (d) 2/3
  30. 30.What is (−2/3) + 2/9? (a) −8/9 (b) 0 (c) 4/9 (d) −4/9
  31. 31.Which is smaller: −1/3 or 1/9? (a) −1/3 (b) 1/9
  32. 32.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/6) − 2/3? (a) 1/2 (b) −1/3 (c) 5/6 (d) −5/6
  34. 34.What is 1/3 + (−1/3)? (a) 2/3 (b) 0
  35. 35.What is (−7/8) + 1/7? (a) −57/56 (b) 41/56 (c) −41/56 (d) −2/5
  36. 36.Which is smaller: −2/3 or 4/7? (a) 4/7 (b) −2/3
  37. 37.What is the additive inverse of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  38. 38.Which is smaller: −4/9 or −1/5? (a) −4/9 (b) −1/5
  39. 39.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −20/24
  40. 40.Is 1/2 positive or negative? (a) Negative (b) Positive

Answer key

  1. −43/35
  2. −5/9
  3. −8/9
  4. 8/9
  5. −1
  6. Negative
  7. −11/20
  8. −53/35
  9. 6/5
  10. −13/72
  11. 11/20
  12. −3/4
  13. 3/56
  14. −79/72
  15. −5/7
  16. −83/56
  17. 1/7
  18. −3/28
  19. −5/6
  20. 8/7
  21. −7/8
  22. −7/15
  23. 9/28
  24. −2/9
  25. 8/5
  26. −2/9
  27. −3/7
  28. Positive
  29. −2/3
  30. −4/9
  31. −1/3
  32. Positive
  33. −5/6
  34. 0
  35. −41/56
  36. −2/3
  37. 2/7
  38. −4/9
  39. −5/6
  40. Positive

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