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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 853 · 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 1/9 + (−4/5)? (a) −3/14 (b) 31/45 (c) 41/45 (d) −31/45
  2. 2.What is the additive inverse of 6/7? (a) −7/6 (b) 7/6 (c) 6/7 (d) −6/7
  3. 3.What is (−1/3) + 6/7? (a) −25/21 (b) 11/21 (c) 1/2 (d) −11/21
  4. 4.What is (−4/7) + 8/9? (a) 20/63 (b) −92/63 (c) −20/63 (d) 1/4
  5. 5.Is 8/8 positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −8/9 or −3/8? (a) −8/9 (b) −3/8
  7. 7.What is 1/8 + (−1/2)? (a) 3/8 (b) 5/8 (c) 0 (d) −3/8
  8. 8.What is (−6/7) + (−1/7)? (a) −5/7 (b) −1/2 (c) −1 (d) 1
  9. 9.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −20/24 (c) 5/6 (d) −5/6
  10. 10.Which is smaller: −2/5 or 3/8? (a) −2/5 (b) 3/8
  11. 11.What is (−4/9) + 1/2? (a) −17/18 (b) −1/18 (c) −3/11 (d) 1/18
  12. 12.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −9/4 (c) 9/4 (d) −4/9
  13. 13.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −12/28 (c) 3/7 (d) −3/7
  14. 14.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −3/24 (d) −1/8
  15. 15.Write −5/40 in standard form (lowest terms, positive denominator). (a) −5/40 (b) −8/1 (c) −1/8 (d) 1/8
  16. 16.Which is bigger: −1/6 or 5/7? (a) 5/7 (b) −1/6
  17. 17.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  18. 18.Which is smaller: −5/9 or −4/9? (a) −5/9 (b) −4/9
  19. 19.What is 5/6 + (−1/7)? (a) −29/42 (b) 4/13 (c) 29/42 (d) 41/42
  20. 20.Which is smaller: −2/3 or −1/9? (a) −2/3 (b) −1/9
  21. 21.Which is bigger: −2/9 or −4/7? (a) −2/9 (b) −4/7
  22. 22.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −48/54 (c) −9/8 (d) −8/9
  23. 23.What is 1/6 + (−1/3)? (a) 0 (b) −1/6 (c) 1/6 (d) 1/2
  24. 24.What is 2/5 + (−4/5)? (a) 2/5 (b) 6/5 (c) −2/5 (d) −1/5
  25. 25.Which is bigger: −1/4 or −4/5? (a) −4/5 (b) −1/4
  26. 26.What is the additive inverse of 3/8? (a) −3/8 (b) 3/8 (c) 8/3 (d) −8/3
  27. 27.Which is bigger: −4/9 or −2/5? (a) −2/5 (b) −4/9
  28. 28.What is (−6/7) − (−2/9)? (a) −68/63 (b) −40/63 (c) 40/63 (d) −1/4
  29. 29.What is the additive inverse of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  30. 30.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  31. 31.Is 1/3 positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −1/2 or 3/5? (a) 3/5 (b) −1/2
  33. 33.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  34. 34.Which is smaller: −8/9 or −5/9? (a) −5/9 (b) −8/9
  35. 35.What is 1/7 − (−1/3)? (a) 10/21 (b) −4/21 (c) 1/5 (d) −10/21
  36. 36.What is (−1/5) + 2/9? (a) 1/14 (b) 1/45 (c) −1/45 (d) −19/45
  37. 37.What is (−5/9) + 6/7? (a) 1/16 (b) −19/63 (c) −89/63 (d) 19/63
  38. 38.Is −3/(−7) positive or negative? (a) Positive (b) Negative
  39. 39.Is 8/2 positive or negative? (a) Positive (b) Negative
  40. 40.What is 1/9 + (−3/5)? (a) 22/45 (b) −22/45 (c) −1/7 (d) 32/45

Answer key

  1. −31/45
  2. −6/7
  3. 11/21
  4. 20/63
  5. Positive
  6. −3/8
  7. −3/8
  8. −1
  9. −5/6
  10. −2/5
  11. 1/18
  12. −9/4
  13. −3/7
  14. −1/8
  15. −1/8
  16. 5/7
  17. Positive
  18. −5/9
  19. 29/42
  20. −2/3
  21. −2/9
  22. −8/9
  23. −1/6
  24. −2/5
  25. −1/4
  26. −3/8
  27. −2/5
  28. −40/63
  29. −2/7
  30. Negative
  31. Positive
  32. 3/5
  33. Positive
  34. −8/9
  35. 10/21
  36. 1/45
  37. 19/63
  38. Positive
  39. Positive
  40. −22/45

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