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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 997 · 40 sums
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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 the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) −8/9 (d) 9/8
  2. 2.What is (−2/7) − 5/9? (a) 53/63 (b) −7/16 (c) 17/63 (d) −53/63
  3. 3.What is (−2/3) + 1/4? (a) 5/12 (b) −5/12 (c) −11/12 (d) −1/7
  4. 4.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −8/12
  6. 6.What is the additive inverse of 3/7? (a) −7/3 (b) 3/7 (c) 7/3 (d) −3/7
  7. 7.What is the additive inverse of 1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  8. 8.Which is bigger: −4/5 or 4/9? (a) 4/9 (b) −4/5
  9. 9.Which is smaller: −5/9 or 1/4? (a) −5/9 (b) 1/4
  10. 10.What is (−3/5) − (−7/9)? (a) 8/45 (b) 2/7 (c) −8/45 (d) −62/45
  11. 11.Which is bigger: −5/9 or −3/8? (a) −5/9 (b) −3/8
  12. 12.What is the additive inverse of −1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  13. 13.Is −8/7 positive or negative? (a) Negative (b) Positive
  14. 14.What is 2/7 + (−2/7)? (a) 0 (b) 4/7
  15. 15.Which is smaller: −1/5 or −3/5? (a) −3/5 (b) −1/5
  16. 16.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  17. 17.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) 7/3 (c) −3/7 (d) 3/7
  18. 18.What is 1/8 − (−3/8)? (a) −1/2 (b) −1/4 (c) 1/2 (d) 1/4
  19. 19.What is the additive inverse of −5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  20. 20.Which is bigger: −2/5 or −1/6? (a) −2/5 (b) −1/6
  21. 21.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  22. 22.Write −6/36 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) 1/6 (d) −6/36
  23. 23.Which is smaller: −3/8 or −5/7? (a) −3/8 (b) −5/7
  24. 24.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  25. 25.What is (−1/2) + (−5/7)? (a) −17/14 (b) 17/14 (c) −2/3 (d) 3/14
  26. 26.What is (−3/7) + 5/6? (a) 2/13 (b) 17/42 (c) −53/42 (d) −17/42
  27. 27.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  28. 28.Is 3/5 positive or negative? (a) Negative (b) Positive
  29. 29.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −1/4 or 1/7? (a) −1/4 (b) 1/7
  31. 31.What is 6/7 − (−1/2)? (a) 19/14 (b) 7/9 (c) −19/14 (d) 5/14
  32. 32.What is the additive inverse of 7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  33. 33.What is (−2/7) + 7/9? (a) −31/63 (b) −67/63 (c) 31/63 (d) 5/16
  34. 34.What is 1/7 − (−5/9)? (a) 3/8 (b) 44/63 (c) −44/63 (d) −26/63
  35. 35.What is (−1/4) + 2/9? (a) −1/36 (b) −17/36 (c) 1/13 (d) 1/36
  36. 36.Write −6/21 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −6/21 (c) −7/2 (d) −2/7
  37. 37.What is 5/6 + (−3/4)? (a) 1/5 (b) 1/12 (c) −1/12 (d) 19/12
  38. 38.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −9/1 (d) −1/9
  39. 39.Which is smaller: −2/7 or −1/9? (a) −2/7 (b) −1/9
  40. 40.What is (−2/3) − (−2/7)? (a) −20/21 (b) −8/21 (c) 8/21 (d) 0

Answer key

  1. 9/8
  2. −53/63
  3. −5/12
  4. Negative
  5. −2/3
  6. −3/7
  7. −1/4
  8. 4/9
  9. −5/9
  10. 8/45
  11. −3/8
  12. 1/7
  13. Negative
  14. 0
  15. −3/5
  16. −5/8
  17. 7/3
  18. 1/2
  19. 5/7
  20. −1/6
  21. Negative
  22. −1/6
  23. −5/7
  24. 6/5
  25. −17/14
  26. 17/42
  27. 7/4
  28. Positive
  29. Negative
  30. −1/4
  31. 19/14
  32. −7/9
  33. 31/63
  34. 44/63
  35. −1/36
  36. −2/7
  37. 1/12
  38. −1/9
  39. −2/7
  40. −8/21

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