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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 460 · 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.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −42/48 (c) −7/8 (d) −8/7
  2. 2.What is (−2/7) + (−2/3)? (a) 8/21 (b) −20/21 (c) −2/5 (d) 20/21
  3. 3.What is 4/5 + (−1/8)? (a) 37/40 (b) 27/40 (c) −27/40 (d) 3/13
  4. 4.Is −5/4 positive or negative? (a) Negative (b) Positive
  5. 5.Which is bigger: −3/7 or 3/8? (a) −3/7 (b) 3/8
  6. 6.What is 7/9 + (−1/8)? (a) 65/72 (b) 6/17 (c) −47/72 (d) 47/72
  7. 7.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −12/21 (b) −4/7 (c) 4/7 (d) −7/4
  8. 8.Which is smaller: −7/9 or −4/5? (a) −7/9 (b) −4/5
  9. 9.What is 5/6 − (−1/5)? (a) 6/11 (b) 31/30 (c) −31/30 (d) 19/30
  10. 10.Write −9/21 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −9/21 (c) −7/3 (d) −3/7
  11. 11.What is (−1/9) + 4/9? (a) 1/3 (b) 1/6 (c) −1/3 (d) −5/9
  12. 12.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) 1/2 (d) −6/12
  13. 13.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  14. 14.What is 5/8 − (−1/9)? (a) 53/72 (b) 6/17 (c) 37/72 (d) −53/72
  15. 15.Which is bigger: −1/2 or 4/5? (a) 4/5 (b) −1/2
  16. 16.What is 1/9 + (−5/8)? (a) −37/72 (b) −4/17 (c) 37/72 (d) 53/72
  17. 17.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  18. 18.Which is smaller: −3/8 or −1/6? (a) −1/6 (b) −3/8
  19. 19.What is (−1/6) + 1/2? (a) −2/3 (b) −1/3 (c) 0 (d) 1/3
  20. 20.What is 5/6 + (−4/9)? (a) 23/18 (b) 1/15 (c) 7/18 (d) −7/18
  21. 21.Which is smaller: −3/4 or −5/6? (a) −5/6 (b) −3/4
  22. 22.Write −6/30 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −6/30 (d) −5/1
  23. 23.What is (−1/5) + 7/9? (a) −44/45 (b) 26/45 (c) −26/45 (d) 3/7
  24. 24.What is 3/5 − (−3/8)? (a) 39/40 (b) 9/40 (c) 6/13 (d) −39/40
  25. 25.Which is bigger: −1/3 or −1/2? (a) −1/2 (b) −1/3
  26. 26.What is the additive inverse of −6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  27. 27.Which is bigger: −5/7 or −1/2? (a) −5/7 (b) −1/2
  28. 28.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  29. 29.Is 9/8 positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −3/4 or −1/3? (a) −1/3 (b) −3/4
  31. 31.What is (−3/4) − (−7/9)? (a) −55/36 (b) 1/36 (c) −1/36 (d) 4/13
  32. 32.Is −6/8 positive or negative? (a) Negative (b) Positive
  33. 33.Is −3/6 positive or negative? (a) Positive (b) Negative
  34. 34.Which is bigger: −3/7 or −6/7? (a) −3/7 (b) −6/7
  35. 35.Is 8/2 positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of −5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  37. 37.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  38. 38.Which is smaller: −1/4 or −7/9? (a) −1/4 (b) −7/9
  39. 39.Which is bigger: −1/4 or 2/9? (a) −1/4 (b) 2/9
  40. 40.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) 2/3 (d) −2/3

Answer key

  1. −7/8
  2. −20/21
  3. 27/40
  4. Negative
  5. 3/8
  6. 47/72
  7. −4/7
  8. −4/5
  9. 31/30
  10. −3/7
  11. 1/3
  12. −1/2
  13. −9/5
  14. 53/72
  15. 4/5
  16. −37/72
  17. 5/2
  18. −3/8
  19. 1/3
  20. 7/18
  21. −5/6
  22. −1/5
  23. 26/45
  24. 39/40
  25. −1/3
  26. 6/7
  27. −1/2
  28. Negative
  29. Positive
  30. −1/3
  31. 1/36
  32. Negative
  33. Negative
  34. −3/7
  35. Positive
  36. 5/6
  37. 2/3
  38. −7/9
  39. 2/9
  40. −2/3

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