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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 267 · 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 bigger: −4/9 or −5/8? (a) −4/9 (b) −5/8
  2. 2.Which is smaller: −1/3 or 2/9? (a) −1/3 (b) 2/9
  3. 3.Which is smaller: −7/9 or −4/7? (a) −7/9 (b) −4/7
  4. 4.Which is smaller: −1/9 or −3/4? (a) −1/9 (b) −3/4
  5. 5.Which is bigger: −2/3 or −5/7? (a) −5/7 (b) −2/3
  6. 6.What is (−2/3) − 5/9? (a) −7/12 (b) 11/9 (c) −11/9 (d) −1/9
  7. 7.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  8. 8.What is (−1/7) + 2/7? (a) 1/14 (b) −1/7 (c) 1/7 (d) −3/7
  9. 9.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −15/18 (c) −5/6 (d) −6/5
  10. 10.What is the additive inverse of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  11. 11.What is the additive inverse of −6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  12. 12.What is 5/9 + (−6/7)? (a) −19/63 (b) 89/63 (c) −1/16 (d) 19/63
  13. 13.What is the additive inverse of 3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  14. 14.Which is smaller: −7/9 or −1/9? (a) −1/9 (b) −7/9
  15. 15.What is (−1/4) − (−2/7)? (a) −1/28 (b) 1/11 (c) 1/28 (d) −15/28
  16. 16.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −28/32 (c) −7/8 (d) 7/8
  17. 17.What is (−4/7) + 3/5? (a) −41/35 (b) −1/12 (c) −1/35 (d) 1/35
  18. 18.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −6/24 (b) 1/4 (c) −1/4 (d) −4/1
  19. 19.What is 6/7 − (−7/8)? (a) 13/15 (b) −97/56 (c) 97/56 (d) −1/56
  20. 20.What is 3/5 + (−2/3)? (a) 1/15 (b) −1/15 (c) 19/15 (d) 1/8
  21. 21.What is 7/9 + (−3/5)? (a) 8/45 (b) 62/45 (c) 2/7 (d) −8/45
  22. 22.What is 1/9 + (−5/9)? (a) −4/9 (b) 2/3 (c) −2/9 (d) 4/9
  23. 23.What is the additive inverse of 5/6? (a) −5/6 (b) 5/6 (c) 6/5 (d) −6/5
  24. 24.What is 3/5 − (−5/6)? (a) −7/30 (b) −43/30 (c) 8/11 (d) 43/30
  25. 25.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −4/5 or 2/3? (a) 2/3 (b) −4/5
  27. 27.What is 5/9 + (−7/8)? (a) −2/17 (b) 23/72 (c) −23/72 (d) 103/72
  28. 28.What is 1/5 − (−2/3)? (a) 13/15 (b) 3/8 (c) −13/15 (d) −7/15
  29. 29.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −20/32 (d) −8/5
  30. 30.What is (−1/4) − (−5/9)? (a) 11/36 (b) −11/36 (c) −29/36 (d) 4/13
  31. 31.What is (−8/9) + 3/4? (a) −59/36 (b) −5/13 (c) −5/36 (d) 5/36
  32. 32.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  33. 33.What is (−1/2) + (−6/7)? (a) 19/14 (b) −19/14 (c) 5/14 (d) −7/9
  34. 34.Is −7/7 positive or negative? (a) Positive (b) Negative
  35. 35.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) 2/5 (c) −5/2 (d) −2/5
  36. 36.Is 2/9 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−1/8) − 6/7? (a) 55/56 (b) −7/15 (c) 41/56 (d) −55/56
  38. 38.Which is bigger: −2/7 or −8/9? (a) −8/9 (b) −2/7
  39. 39.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −8/20 (d) 2/5
  40. 40.What is (−1/4) − 2/3? (a) −11/12 (b) 11/12 (c) −3/7 (d) 5/12

Answer key

  1. −4/9
  2. −1/3
  3. −7/9
  4. −3/4
  5. −2/3
  6. −11/9
  7. −8/7
  8. 1/7
  9. −5/6
  10. 3/4
  11. 6/7
  12. −19/63
  13. −3/7
  14. −7/9
  15. 1/28
  16. −7/8
  17. 1/35
  18. −1/4
  19. 97/56
  20. −1/15
  21. 8/45
  22. −4/9
  23. −5/6
  24. 43/30
  25. Positive
  26. −4/5
  27. −23/72
  28. 13/15
  29. −5/8
  30. 11/36
  31. −5/36
  32. 3/2
  33. −19/14
  34. Negative
  35. −2/5
  36. Positive
  37. −55/56
  38. −2/7
  39. −2/5
  40. −11/12

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