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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 590 · 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 (−3/4) + 1/3? (a) 5/12 (b) −5/12 (c) −2/7 (d) −13/12
  2. 2.What is (−1/2) + 4/7? (a) −1/14 (b) 1/3 (c) −15/14 (d) 1/14
  3. 3.What is (−1/5) − (−1/3)? (a) −8/15 (b) −2/15 (c) 0 (d) 2/15
  4. 4.Is −5/(−5) positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −2/9 or 5/6? (a) 5/6 (b) −2/9
  6. 6.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  7. 7.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −3/15 (d) −5/1
  8. 8.What is (−5/6) − (−1/9)? (a) 13/18 (b) −17/18 (c) −13/18 (d) −4/15
  9. 9.What is (−3/4) + 5/6? (a) 1/5 (b) 1/12 (c) −1/12 (d) −19/12
  10. 10.What is (−1/6) + 3/4? (a) −11/12 (b) 1/5 (c) −7/12 (d) 7/12
  11. 11.Which is bigger: −4/5 or −1/3? (a) −1/3 (b) −4/5
  12. 12.Which is smaller: −5/6 or 2/3? (a) −5/6 (b) 2/3
  13. 13.What is 3/7 − (−2/3)? (a) −5/21 (b) 1/2 (c) −23/21 (d) 23/21
  14. 14.Is 2/9 positive or negative? (a) Positive (b) Negative
  15. 15.Which is smaller: −3/7 or −2/7? (a) −3/7 (b) −2/7
  16. 16.Is −7/7 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−5/6) − (−3/8)? (a) −1/7 (b) 11/24 (c) −29/24 (d) −11/24
  18. 18.Which is smaller: −1/6 or −6/7? (a) −6/7 (b) −1/6
  19. 19.What is (−1/9) − (−2/5)? (a) −13/45 (b) 13/45 (c) 1/14 (d) −23/45
  20. 20.What is 3/4 + (−1/5)? (a) 2/9 (b) 19/20 (c) −11/20 (d) 11/20
  21. 21.What is (−2/5) + 1/6? (a) −17/30 (b) 7/30 (c) −7/30 (d) −1/11
  22. 22.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  23. 23.What is 1/3 − (−2/3)? (a) 1 (b) 1/2 (c) −1 (d) −1/3
  24. 24.What is (−3/5) + (−4/9)? (a) −7/45 (b) 47/45 (c) −1/2 (d) −47/45
  25. 25.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  26. 26.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  27. 27.Which is smaller: −3/8 or 4/5? (a) −3/8 (b) 4/5
  28. 28.What is the additive inverse of −2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  29. 29.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −12/15 (c) 4/5 (d) −4/5
  30. 30.Is 4/8 positive or negative? (a) Positive (b) Negative
  31. 31.Which is bigger: −3/8 or −4/5? (a) −4/5 (b) −3/8
  32. 32.What is the additive inverse of −4/7? (a) −4/7 (b) −7/4 (c) 7/4 (d) 4/7
  33. 33.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  34. 34.Write −4/18 in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −4/18
  35. 35.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/4) + 1/4? (a) −1/2 (b) 0
  37. 37.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) −8/9 (d) 9/8
  38. 38.What is the additive inverse of 5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  39. 39.What is 2/7 − (−2/5)? (a) −24/35 (b) 1/3 (c) −4/35 (d) 24/35
  40. 40.Which is bigger: −5/7 or 1/5? (a) 1/5 (b) −5/7

Answer key

  1. −5/12
  2. 1/14
  3. 2/15
  4. Positive
  5. 5/6
  6. Negative
  7. −1/5
  8. −13/18
  9. 1/12
  10. 7/12
  11. −1/3
  12. −5/6
  13. 23/21
  14. Positive
  15. −3/7
  16. Negative
  17. −11/24
  18. −6/7
  19. 13/45
  20. 11/20
  21. −7/30
  22. Positive
  23. 1
  24. −47/45
  25. Positive
  26. 5/4
  27. −3/8
  28. 2/7
  29. −4/5
  30. Positive
  31. −3/8
  32. 4/7
  33. −6/7
  34. −2/9
  35. Negative
  36. 0
  37. 9/8
  38. −5/8
  39. 24/35
  40. 1/5

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