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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 834 · 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 (−5/7) + 1/3? (a) −22/21 (b) −8/21 (c) 8/21 (d) −2/5
  2. 2.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  3. 3.What is 2/7 + (−2/9)? (a) 32/63 (b) −4/63 (c) 0 (d) 4/63
  4. 4.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  5. 5.What is 1/3 − (−7/8)? (a) −29/24 (b) 29/24 (c) −13/24 (d) 8/11
  6. 6.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) 4/5 (d) −24/30
  7. 7.Is 6/2 positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −2/3 or 2/7? (a) −2/3 (b) 2/7
  9. 9.Which is smaller: −1/7 or −5/7? (a) −5/7 (b) −1/7
  10. 10.What is (−2/9) − 3/4? (a) 19/36 (b) −5/13 (c) 35/36 (d) −35/36
  11. 11.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−5/7) − 4/9? (a) −73/63 (b) 73/63 (c) −9/16 (d) −17/63
  13. 13.What is 1/3 − (−2/7)? (a) −13/21 (b) 13/21 (c) 3/10 (d) 1/21
  14. 14.Which is smaller: −5/9 or 4/9? (a) −5/9 (b) 4/9
  15. 15.Which is smaller: −1/3 or −3/4? (a) −3/4 (b) −1/3
  16. 16.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) −8/14 (d) 4/7
  17. 17.What is (−1/5) − 2/3? (a) 13/15 (b) 7/15 (c) −13/15 (d) −3/8
  18. 18.Which is bigger: −1/4 or −3/5? (a) −1/4 (b) −3/5
  19. 19.Which is smaller: −1/8 or −2/5? (a) −1/8 (b) −2/5
  20. 20.Which is smaller: −7/9 or 1/9? (a) −7/9 (b) 1/9
  21. 21.What is (−7/8) + (−1/2)? (a) −4/5 (b) −11/8 (c) −3/8 (d) 11/8
  22. 22.What is (−3/5) + 8/9? (a) 13/45 (b) 5/14 (c) −13/45 (d) −67/45
  23. 23.Is −2/5 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/2) + 1/6? (a) −1/3 (b) 1/3 (c) 0 (d) −2/3
  25. 25.What is (−1/8) + 8/9? (a) 55/72 (b) −55/72 (c) 7/17 (d) −73/72
  26. 26.What is 3/4 + (−1/2)? (a) 1/3 (b) 5/4 (c) 1/4 (d) −1/4
  27. 27.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −15/20 (b) −4/3 (c) 3/4 (d) −3/4
  28. 28.Is 4/3 positive or negative? (a) Negative (b) Positive
  29. 29.Is 2/6 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−1/3) − 1/4? (a) −7/12 (b) 7/12 (c) −2/7 (d) −1/12
  31. 31.Which is bigger: −1/9 or −1/5? (a) −1/5 (b) −1/9
  32. 32.What is (−4/7) + (−3/4)? (a) −7/11 (b) 37/28 (c) −37/28 (d) 5/28
  33. 33.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) 8/9 (c) −9/8 (d) 9/8
  34. 34.Write −24/42 in standard form (lowest terms, positive denominator). (a) −24/42 (b) −7/4 (c) −4/7 (d) 4/7
  35. 35.What is (−2/9) − 1/4? (a) −17/36 (b) 1/36 (c) −3/13 (d) 17/36
  36. 36.Which is smaller: −1/9 or 3/4? (a) 3/4 (b) −1/9
  37. 37.What is the additive inverse of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  38. 38.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −2/4 (d) −2/1
  39. 39.Which is smaller: −2/5 or −7/9? (a) −2/5 (b) −7/9
  40. 40.What is 1/6 + (−3/5)? (a) 13/30 (b) 23/30 (c) −2/11 (d) −13/30

Answer key

  1. −8/21
  2. −8/3
  3. 4/63
  4. 8/7
  5. 29/24
  6. −4/5
  7. Positive
  8. 2/7
  9. −5/7
  10. −35/36
  11. Positive
  12. −73/63
  13. 13/21
  14. −5/9
  15. −3/4
  16. −4/7
  17. −13/15
  18. −1/4
  19. −2/5
  20. −7/9
  21. −11/8
  22. 13/45
  23. Negative
  24. −1/3
  25. 55/72
  26. 1/4
  27. −3/4
  28. Positive
  29. Positive
  30. −7/12
  31. −1/9
  32. −37/28
  33. 9/8
  34. −4/7
  35. −17/36
  36. −1/9
  37. −1/4
  38. −1/2
  39. −7/9
  40. −13/30

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