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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 958 · 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.Write −5/20 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −5/20 (c) 1/4 (d) −1/4
  2. 2.What is (−3/4) + (−4/7)? (a) −7/11 (b) −5/28 (c) 37/28 (d) −37/28
  3. 3.What is (−1/4) − 1/9? (a) −2/13 (b) 13/36 (c) −13/36 (d) −5/36
  4. 4.What is 2/3 + (−1/5)? (a) −7/15 (b) 7/15 (c) 13/15 (d) 1/8
  5. 5.What is 1/5 + (−1/3)? (a) −2/15 (b) 2/15 (c) 8/15 (d) 0
  6. 6.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) −7/5 (c) 7/5 (d) 5/7
  7. 7.Is 8/8 positive or negative? (a) Positive (b) Negative
  8. 8.What is 1/4 − (−2/9)? (a) 3/13 (b) 1/36 (c) 17/36 (d) −17/36
  9. 9.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  10. 10.What is (−5/8) + 2/3? (a) −31/24 (b) −1/24 (c) 1/24 (d) −3/11
  11. 11.What is 3/4 + (−2/7)? (a) 1/11 (b) 29/28 (c) −13/28 (d) 13/28
  12. 12.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −5/40 (c) 1/8 (d) −8/1
  13. 13.Is −2/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−1/3) + 5/9? (a) −8/9 (b) −2/9 (c) 1/3 (d) 2/9
  15. 15.What is (−4/9) − 2/5? (a) −2/45 (b) −3/7 (c) −38/45 (d) 38/45
  16. 16.Which is bigger: −3/5 or 3/8? (a) 3/8 (b) −3/5
  17. 17.Which is smaller: −7/8 or −4/7? (a) −4/7 (b) −7/8
  18. 18.What is (−5/9) + 2/3? (a) 1/9 (b) −11/9 (c) −1/9 (d) −1/4
  19. 19.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  20. 20.Which is smaller: −3/7 or −3/4? (a) −3/4 (b) −3/7
  21. 21.What is (−6/7) + 1/2? (a) 5/14 (b) −19/14 (c) −5/9 (d) −5/14
  22. 22.Which is bigger: −2/9 or −4/5? (a) −2/9 (b) −4/5
  23. 23.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  24. 24.What is the additive inverse of 3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  25. 25.What is (−1/2) + (−1/8)? (a) −1/5 (b) −5/8 (c) −3/8 (d) 5/8
  26. 26.Is −7/7 positive or negative? (a) Negative (b) Positive
  27. 27.Which is smaller: −1/4 or 5/6? (a) −1/4 (b) 5/6
  28. 28.What is (−7/8) + 4/9? (a) 31/72 (b) −95/72 (c) −3/17 (d) −31/72
  29. 29.What is the additive inverse of 4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  30. 30.Which is bigger: −2/5 or −4/7? (a) −2/5 (b) −4/7
  31. 31.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  32. 32.What is (−5/8) − 2/3? (a) −31/24 (b) 1/24 (c) −7/11 (d) 31/24
  33. 33.Which is smaller: −3/4 or 1/2? (a) 1/2 (b) −3/4
  34. 34.Is −5/7 positive or negative? (a) Negative (b) Positive
  35. 35.What is (−5/8) − 3/8? (a) −1/2 (b) −1 (c) 1 (d) −1/4
  36. 36.Write −16/20 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −16/20 (c) −4/5 (d) −5/4
  37. 37.What is the additive inverse of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  38. 38.Write −3/27 in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  39. 39.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  40. 40.Which is smaller: −4/5 or −6/7? (a) −6/7 (b) −4/5

Answer key

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

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