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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 495 · 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 −10/16 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −10/16 (d) 5/8
  2. 2.Is −1/4 positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −4/7 or 3/4? (a) −4/7 (b) 3/4
  4. 4.Which is smaller: −5/8 or 5/7? (a) −5/8 (b) 5/7
  5. 5.What is 5/7 − (−1/2)? (a) −17/14 (b) 3/14 (c) 17/14 (d) 2/3
  6. 6.Which is smaller: −2/7 or −1/3? (a) −2/7 (b) −1/3
  7. 7.What is 7/8 − (−3/8)? (a) −5/4 (b) 5/8 (c) 1/2 (d) 5/4
  8. 8.Which is smaller: −3/7 or −8/9? (a) −3/7 (b) −8/9
  9. 9.What is (−5/6) − (−1/4)? (a) 7/12 (b) −2/5 (c) −13/12 (d) −7/12
  10. 10.What is (−6/7) − 2/5? (a) −2/3 (b) −44/35 (c) 44/35 (d) −16/35
  11. 11.Is −2/6 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−1/8) + 1/4? (a) 0 (b) −1/8 (c) 1/8 (d) −3/8
  13. 13.Is −1/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−7/8) − (−6/7)? (a) −1/15 (b) −1/56 (c) −97/56 (d) 1/56
  15. 15.What is (−4/9) + 1/2? (a) −1/18 (b) 1/18 (c) −3/11 (d) −17/18
  16. 16.What is (−1/9) + 1/9? (a) 0 (b) −2/9
  17. 17.What is (−1/8) − 5/8? (a) 1/2 (b) 3/4 (c) −3/8 (d) −3/4
  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 the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) −5/6 (d) 5/6
  20. 20.Which is bigger: −1/9 or 4/5? (a) −1/9 (b) 4/5
  21. 21.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.Write −4/20 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −4/20 (d) 1/5
  23. 23.Which is smaller: −2/5 or −5/9? (a) −5/9 (b) −2/5
  24. 24.Which is bigger: −7/8 or −1/7? (a) −7/8 (b) −1/7
  25. 25.What is 1/9 + (−1/3)? (a) −2/9 (b) 0 (c) 2/9 (d) 4/9
  26. 26.What is (−5/9) + 2/7? (a) 17/63 (b) −53/63 (c) −3/16 (d) −17/63
  27. 27.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −2/3 or −3/7? (a) −3/7 (b) −2/3
  29. 29.Write −8/20 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −8/20
  30. 30.What is (−5/6) − 1/5? (a) −19/30 (b) −6/11 (c) 31/30 (d) −31/30
  31. 31.Which is smaller: −5/6 or −4/7? (a) −4/7 (b) −5/6
  32. 32.Which is bigger: −8/9 or −7/9? (a) −8/9 (b) −7/9
  33. 33.Write −6/18 in standard form (lowest terms, positive denominator). (a) −6/18 (b) −3/1 (c) −1/3 (d) 1/3
  34. 34.Which is smaller: −3/7 or −5/9? (a) −3/7 (b) −5/9
  35. 35.What is 5/7 + (−1/7)? (a) −4/7 (b) 4/7 (c) 6/7 (d) 2/7
  36. 36.What is (−7/8) − 2/7? (a) −3/5 (b) 65/56 (c) −65/56 (d) −33/56
  37. 37.What is (−2/7) + 6/7? (a) −4/7 (b) −8/7 (c) 2/7 (d) 4/7
  38. 38.Which is smaller: −1/7 or 2/3? (a) 2/3 (b) −1/7
  39. 39.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  40. 40.What is (−5/8) + 2/3? (a) 1/24 (b) −1/24 (c) −3/11 (d) −31/24

Answer key

  1. −5/8
  2. Negative
  3. −4/7
  4. −5/8
  5. 17/14
  6. −1/3
  7. 5/4
  8. −8/9
  9. −7/12
  10. −44/35
  11. Negative
  12. 1/8
  13. Negative
  14. −1/56
  15. 1/18
  16. 0
  17. −3/4
  18. 2/3
  19. −5/6
  20. 4/5
  21. Positive
  22. −1/5
  23. −5/9
  24. −1/7
  25. −2/9
  26. −17/63
  27. Positive
  28. −3/7
  29. −2/5
  30. −31/30
  31. −5/6
  32. −7/9
  33. −1/3
  34. −5/9
  35. 4/7
  36. −65/56
  37. 4/7
  38. −1/7
  39. −9/2
  40. 1/24

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