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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 875 · 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: −3/5 or −4/9? (a) −4/9 (b) −3/5
  2. 2.Write −30/36 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −30/36
  3. 3.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −25/45 (d) 5/9
  4. 4.Which is bigger: −1/9 or −1/6? (a) −1/9 (b) −1/6
  5. 5.Which is bigger: −8/9 or −5/7? (a) −5/7 (b) −8/9
  6. 6.Which is smaller: −2/5 or −5/9? (a) −2/5 (b) −5/9
  7. 7.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  8. 8.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −10/25
  9. 9.What is 1/5 + (−3/4)? (a) 11/20 (b) −11/20 (c) −2/9 (d) 19/20
  10. 10.What is (−3/7) + 1/4? (a) −19/28 (b) −2/11 (c) −5/28 (d) 5/28
  11. 11.Which is smaller: −1/6 or −4/5? (a) −4/5 (b) −1/6
  12. 12.Is −5/4 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−7/9) + 1/6? (a) 11/18 (b) −11/18 (c) −2/5 (d) −17/18
  14. 14.Write −4/6 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −4/6 (c) −3/2 (d) 2/3
  15. 15.What is (−5/8) + (−1/6)? (a) −19/24 (b) −11/24 (c) 19/24 (d) −3/7
  16. 16.What is (−1/4) + (−2/9)? (a) −1/36 (b) 17/36 (c) −17/36 (d) −3/13
  17. 17.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  18. 18.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  19. 19.Which is smaller: −2/9 or 7/9? (a) −2/9 (b) 7/9
  20. 20.Which is bigger: −1/5 or 3/4? (a) −1/5 (b) 3/4
  21. 21.Which is smaller: −1/3 or −2/3? (a) −2/3 (b) −1/3
  22. 22.Write −5/30 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −5/30
  23. 23.What is (−5/6) + 3/5? (a) −2/11 (b) −7/30 (c) −43/30 (d) 7/30
  24. 24.What is 5/8 + (−2/9)? (a) −29/72 (b) 61/72 (c) 3/17 (d) 29/72
  25. 25.What is (−1/3) − (−5/9)? (a) −2/9 (b) 2/9 (c) −8/9 (d) 1/3
  26. 26.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −9/12 (c) −4/3 (d) −3/4
  27. 27.Which is smaller: −5/8 or −2/7? (a) −2/7 (b) −5/8
  28. 28.Which is bigger: −3/4 or 2/3? (a) 2/3 (b) −3/4
  29. 29.Write −12/16 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −12/16
  30. 30.Which is smaller: −2/9 or 5/9? (a) 5/9 (b) −2/9
  31. 31.What is 1/4 − (−3/7)? (a) −19/28 (b) 4/11 (c) −5/28 (d) 19/28
  32. 32.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  33. 33.What is (−1/9) + (−3/4)? (a) 23/36 (b) −4/13 (c) −31/36 (d) 31/36
  34. 34.What is the additive inverse of −2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  35. 35.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −28/36 (c) 7/9 (d) −7/9
  36. 36.What is (−3/5) − 5/8? (a) 49/40 (b) −49/40 (c) −8/13 (d) 1/40
  37. 37.What is 5/8 − (−5/8)? (a) −5/4 (b) 0 (c) 5/4 (d) 5/8
  38. 38.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −15/21
  39. 39.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −24/28 (c) 6/7 (d) −7/6
  40. 40.What is 2/3 + (−1/8)? (a) 1/11 (b) 13/24 (c) −13/24 (d) 19/24

Answer key

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

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