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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 921 · 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 (−1/5) + 7/9? (a) 3/7 (b) −26/45 (c) −44/45 (d) 26/45
  2. 2.What is (−3/4) + 3/8? (a) −9/8 (b) 3/8 (c) 0 (d) −3/8
  3. 3.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  4. 4.What is 1/4 − (−1/9)? (a) 5/36 (b) −13/36 (c) 13/36 (d) 2/13
  5. 5.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−5/9) + (−8/9)? (a) −13/9 (b) −13/18 (c) 13/9 (d) 1/3
  7. 7.Which is bigger: −5/8 or 2/3? (a) −5/8 (b) 2/3
  8. 8.What is (−6/7) − 3/4? (a) 45/28 (b) −3/28 (c) −45/28 (d) −9/11
  9. 9.What is (−4/5) − 1/5? (a) −1/2 (b) −3/5 (c) −1 (d) 1
  10. 10.What is 2/3 + (−2/5)? (a) 0 (b) −4/15 (c) 4/15 (d) 16/15
  11. 11.What is the additive inverse of −3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  12. 12.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −10/16 (c) 5/8 (d) −8/5
  13. 13.What is the additive inverse of −5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  14. 14.Is 3/2 positive or negative? (a) Positive (b) Negative
  15. 15.Write −3/27 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −3/27
  16. 16.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−3/5) − 4/9? (a) −47/45 (b) −7/45 (c) −1/2 (d) 47/45
  18. 18.What is (−1/5) − 2/3? (a) −3/8 (b) 13/15 (c) 7/15 (d) −13/15
  19. 19.Which is bigger: −1/7 or 3/5? (a) −1/7 (b) 3/5
  20. 20.Is −5/4 positive or negative? (a) Positive (b) Negative
  21. 21.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −3/8 or 6/7? (a) −3/8 (b) 6/7
  23. 23.What is 4/7 − (−3/4)? (a) −37/28 (b) −5/28 (c) 7/11 (d) 37/28
  24. 24.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.Which is bigger: −3/8 or −2/7? (a) −3/8 (b) −2/7
  26. 26.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  27. 27.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −12/14 (c) 6/7 (d) −7/6
  28. 28.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  29. 29.Which is smaller: −4/5 or 2/5? (a) −4/5 (b) 2/5
  30. 30.What is (−1/2) + (−3/4)? (a) −5/4 (b) 1/4 (c) 5/4 (d) −2/3
  31. 31.Which is bigger: −5/6 or −8/9? (a) −8/9 (b) −5/6
  32. 32.Which is smaller: −1/7 or −2/3? (a) −1/7 (b) −2/3
  33. 33.What is (−1/2) + (−5/6)? (a) 1/3 (b) −4/3 (c) −3/4 (d) 4/3
  34. 34.What is (−5/9) − 6/7? (a) 19/63 (b) −89/63 (c) 89/63 (d) −11/16
  35. 35.What is 1/6 − (−1/2)? (a) −1/3 (b) 2/3 (c) 1/4 (d) −2/3
  36. 36.What is (−5/9) + 1/9? (a) 4/9 (b) −4/9 (c) −2/9 (d) −2/3
  37. 37.What is (−1/6) + (−2/3)? (a) −5/6 (b) −1/3 (c) 5/6 (d) 1/2
  38. 38.Is 6/9 positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −1/4 or −3/8? (a) −3/8 (b) −1/4
  40. 40.Which is bigger: −1/8 or −2/7? (a) −2/7 (b) −1/8

Answer key

  1. 26/45
  2. −3/8
  3. 3/2
  4. 13/36
  5. Negative
  6. −13/9
  7. 2/3
  8. −45/28
  9. −1
  10. 4/15
  11. 3/4
  12. −5/8
  13. 5/8
  14. Positive
  15. −1/9
  16. Negative
  17. −47/45
  18. −13/15
  19. 3/5
  20. Negative
  21. Positive
  22. 6/7
  23. 37/28
  24. Positive
  25. −2/7
  26. Negative
  27. −6/7
  28. Positive
  29. −4/5
  30. −5/4
  31. −5/6
  32. −2/3
  33. −4/3
  34. −89/63
  35. 2/3
  36. −4/9
  37. −5/6
  38. Positive
  39. −3/8
  40. −1/8

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