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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 828 · 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 5/6 + (−3/4)? (a) 1/12 (b) 1/5 (c) −1/12 (d) 19/12
  2. 2.Is −4/8 positive or negative? (a) Positive (b) Negative
  3. 3.What is 1/3 + (−1/8)? (a) 0 (b) 5/24 (c) 11/24 (d) −5/24
  4. 4.What is the additive inverse of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  5. 5.What is 3/4 + (−5/7)? (a) 1/28 (b) −1/28 (c) 41/28 (d) −2/11
  6. 6.Which is smaller: −5/7 or −1/6? (a) −5/7 (b) −1/6
  7. 7.What is (−1/8) + 3/8? (a) 1/4 (b) −1/4 (c) 1/8 (d) −1/2
  8. 8.What is (−1/5) + 7/8? (a) −27/40 (b) −43/40 (c) 6/13 (d) 27/40
  9. 9.Is 9/5 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−5/6) − (−1/7)? (a) 29/42 (b) −41/42 (c) −29/42 (d) −4/13
  11. 11.Which is smaller: −8/9 or 5/8? (a) 5/8 (b) −8/9
  12. 12.Which is smaller: −2/3 or −7/8? (a) −2/3 (b) −7/8
  13. 13.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  14. 14.What is 2/7 − (−1/8)? (a) 1/5 (b) −23/56 (c) 9/56 (d) 23/56
  15. 15.What is (−1/9) − 1/4? (a) −13/36 (b) −2/13 (c) 13/36 (d) 5/36
  16. 16.What is (−2/7) + 3/4? (a) 13/28 (b) 1/11 (c) −29/28 (d) −13/28
  17. 17.Which is bigger: −3/4 or −2/9? (a) −3/4 (b) −2/9
  18. 18.What is the additive inverse of −1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  19. 19.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) −2/1 (c) 1/2 (d) −1/2
  20. 20.Which is smaller: −1/6 or 1/2? (a) −1/6 (b) 1/2
  21. 21.What is (−3/4) + (−2/7)? (a) 29/28 (b) −29/28 (c) −5/11 (d) −13/28
  22. 22.Which is smaller: −6/7 or −1/4? (a) −1/4 (b) −6/7
  23. 23.Which is smaller: −3/5 or 5/9? (a) −3/5 (b) 5/9
  24. 24.What is the additive inverse of 1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6
  25. 25.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) −9/4 (d) 4/9
  26. 26.What is (−3/7) − 2/3? (a) −1/2 (b) −23/21 (c) 5/21 (d) 23/21
  27. 27.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  28. 28.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) 8/7 (c) −7/8 (d) −8/7
  29. 29.What is (−1/7) − (−2/3)? (a) −11/21 (b) 11/21 (c) −17/21 (d) 1/10
  30. 30.What is (−1/6) + (−2/7)? (a) 5/42 (b) −19/42 (c) −3/13 (d) 19/42
  31. 31.Is 8/4 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−3/7) + 5/8? (a) −11/56 (b) 2/15 (c) 11/56 (d) −59/56
  33. 33.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.Which is smaller: −1/4 or −8/9? (a) −1/4 (b) −8/9
  35. 35.What is (−8/9) − (−1/4)? (a) 23/36 (b) −41/36 (c) −23/36 (d) −7/13
  36. 36.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) 3/5 (d) −3/5
  37. 37.What is 1/2 − (−5/7)? (a) −17/14 (b) 2/3 (c) −3/14 (d) 17/14
  38. 38.Which is smaller: −1/2 or 2/9? (a) −1/2 (b) 2/9
  39. 39.What is the additive inverse of −1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  40. 40.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −6/9 (d) −3/2

Answer key

  1. 1/12
  2. Negative
  3. 5/24
  4. −6/7
  5. 1/28
  6. −5/7
  7. 1/4
  8. 27/40
  9. Positive
  10. −29/42
  11. −8/9
  12. −7/8
  13. 9/8
  14. 23/56
  15. −13/36
  16. 13/28
  17. −2/9
  18. 1/3
  19. −1/2
  20. −1/6
  21. −29/28
  22. −6/7
  23. −3/5
  24. −1/6
  25. −4/9
  26. −23/21
  27. Negative
  28. 8/7
  29. 11/21
  30. −19/42
  31. Positive
  32. 11/56
  33. Positive
  34. −8/9
  35. −23/36
  36. −3/5
  37. 17/14
  38. −1/2
  39. 1/9
  40. −2/3

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