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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 343 · 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 3/8 − (−2/5)? (a) 31/40 (b) −31/40 (c) 5/13 (d) −1/40
  2. 2.What is (−4/7) + 5/8? (a) −67/56 (b) 1/15 (c) −3/56 (d) 3/56
  3. 3.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  4. 4.Which is bigger: −1/9 or −1/8? (a) −1/9 (b) −1/8
  5. 5.What is 1/2 + (−1/3)? (a) 5/6 (b) 1/6 (c) 0 (d) −1/6
  6. 6.Which is bigger: −5/8 or 4/9? (a) 4/9 (b) −5/8
  7. 7.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  8. 8.Is 5/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.Which is bigger: −7/8 or 2/3? (a) −7/8 (b) 2/3
  10. 10.What is (−1/5) − 2/9? (a) 1/45 (b) −19/45 (c) 19/45 (d) −3/14
  11. 11.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −1/7 or 2/5? (a) −1/7 (b) 2/5
  13. 13.Is 1/7 positive or negative? (a) Positive (b) Negative
  14. 14.What is the additive inverse of −7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  15. 15.Which is bigger: −1/3 or −3/8? (a) −3/8 (b) −1/3
  16. 16.Which is bigger: −1/6 or 4/5? (a) −1/6 (b) 4/5
  17. 17.Is 5/4 positive or negative? (a) Negative (b) Positive
  18. 18.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  19. 19.What is (−1/3) + (−5/8)? (a) 7/24 (b) 23/24 (c) −6/11 (d) −23/24
  20. 20.Which is bigger: −2/3 or −3/8? (a) −3/8 (b) −2/3
  21. 21.Is −7/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.Which is smaller: −3/8 or −5/7? (a) −5/7 (b) −3/8
  23. 23.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −20/36
  24. 24.Write −5/30 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −5/30 (d) −1/6
  25. 25.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −2/8 (c) −1/4 (d) 1/4
  26. 26.What is (−4/9) − 5/7? (a) −9/16 (b) 73/63 (c) −73/63 (d) 17/63
  27. 27.Is 5/2 positive or negative? (a) Positive (b) Negative
  28. 28.Write −35/45 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −35/45 (d) 7/9
  29. 29.What is (−7/9) + 2/7? (a) 31/63 (b) −67/63 (c) −5/16 (d) −31/63
  30. 30.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of −1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  32. 32.What is 1/2 + (−1/6)? (a) 2/3 (b) −1/3 (c) 0 (d) 1/3
  33. 33.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −10/15
  34. 34.What is 6/7 − (−1/9)? (a) 7/16 (b) 61/63 (c) 47/63 (d) −61/63
  35. 35.Which is smaller: −1/9 or −3/5? (a) −3/5 (b) −1/9
  36. 36.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −10/25
  37. 37.What is 3/8 + (−4/7)? (a) 53/56 (b) 11/56 (c) −11/56 (d) −1/15
  38. 38.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  39. 39.Which is bigger: −4/5 or −4/9? (a) −4/9 (b) −4/5
  40. 40.Write −9/24 in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −9/24 (d) −8/3

Answer key

  1. 31/40
  2. 3/56
  3. Negative
  4. −1/9
  5. 1/6
  6. 4/9
  7. Negative
  8. Negative
  9. 2/3
  10. −19/45
  11. Positive
  12. −1/7
  13. Positive
  14. 7/8
  15. −1/3
  16. 4/5
  17. Positive
  18. −2/3
  19. −23/24
  20. −3/8
  21. Positive
  22. −5/7
  23. −5/9
  24. −1/6
  25. −1/4
  26. −73/63
  27. Positive
  28. −7/9
  29. −31/63
  30. Negative
  31. 1/4
  32. 1/3
  33. −2/3
  34. 61/63
  35. −3/5
  36. −2/5
  37. −11/56
  38. 2/3
  39. −4/9
  40. −3/8

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