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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 534 · 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 (−5/9) + 7/8? (a) 23/72 (b) 2/17 (c) −103/72 (d) −23/72
  2. 2.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −1/8 (d) −8
  3. 3.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −5/25
  4. 4.Which is bigger: −3/8 or 2/3? (a) 2/3 (b) −3/8
  5. 5.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −6/36 (d) 1/6
  6. 6.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −20/28 (d) −5/7
  7. 7.What is (−4/7) + 1/8? (a) −1/5 (b) 25/56 (c) −39/56 (d) −25/56
  8. 8.What is (−3/7) − (−2/5)? (a) −29/35 (b) −1/35 (c) 1/35 (d) −1/12
  9. 9.Is 8/4 positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) 5/8 (d) −8/5
  11. 11.What is the additive inverse of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  12. 12.Which is bigger: −5/8 or −5/7? (a) −5/8 (b) −5/7
  13. 13.What is 3/4 − (−3/8)? (a) 1/2 (b) −9/8 (c) 9/8 (d) 3/8
  14. 14.What is the additive inverse of −6/7? (a) 6/7 (b) 7/6 (c) −7/6 (d) −6/7
  15. 15.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  16. 16.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −2/5 (d) −5/2
  17. 17.What is 5/6 + (−3/7)? (a) 2/13 (b) −17/42 (c) 17/42 (d) 53/42
  18. 18.What is (−1/8) + (−8/9)? (a) 73/72 (b) 55/72 (c) −9/17 (d) −73/72
  19. 19.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  20. 20.What is 8/9 − (−1/7)? (a) 9/16 (b) 65/63 (c) −65/63 (d) 47/63
  21. 21.What is 7/9 + (−2/5)? (a) 5/14 (b) −17/45 (c) 17/45 (d) 53/45
  22. 22.Is 2/7 positive or negative? (a) Positive (b) Negative
  23. 23.Is −6/4 positive or negative? (a) Negative (b) Positive
  24. 24.Which is bigger: −4/9 or 5/9? (a) 5/9 (b) −4/9
  25. 25.Which is bigger: −3/5 or 5/9? (a) −3/5 (b) 5/9
  26. 26.What is (−2/9) − 1/5? (a) −1/45 (b) −3/14 (c) 19/45 (d) −19/45
  27. 27.What is the additive inverse of 1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  28. 28.What is the additive inverse of −5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  29. 29.What is (−1/8) − (−1/5)? (a) 3/40 (b) −3/40 (c) −13/40 (d) 0
  30. 30.Which is bigger: −2/9 or 3/7? (a) 3/7 (b) −2/9
  31. 31.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −5/8 or 4/9? (a) 4/9 (b) −5/8
  33. 33.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −42/48 (d) −7/8
  34. 34.What is 4/9 + (−1/4)? (a) 25/36 (b) 3/13 (c) 7/36 (d) −7/36
  35. 35.Which is smaller: −8/9 or −3/8? (a) −3/8 (b) −8/9
  36. 36.What is the additive inverse of 1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  37. 37.Is −7/(−6) positive or negative? (a) Negative (b) Positive
  38. 38.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) −9/7 (c) 7/9 (d) −7/9
  39. 39.What is (−4/9) − 2/9? (a) 2/3 (b) −2/3 (c) −1/3 (d) −2/9
  40. 40.Which is smaller: −1/2 or 6/7? (a) −1/2 (b) 6/7

Answer key

  1. 23/72
  2. −1/8
  3. −1/5
  4. 2/3
  5. −1/6
  6. −5/7
  7. −25/56
  8. −1/35
  9. Positive
  10. 5/8
  11. 2/7
  12. −5/8
  13. 9/8
  14. 6/7
  15. Positive
  16. −2/5
  17. 17/42
  18. −73/72
  19. Positive
  20. 65/63
  21. 17/45
  22. Positive
  23. Negative
  24. 5/9
  25. 5/9
  26. −19/45
  27. −1/3
  28. 5/7
  29. 3/40
  30. 3/7
  31. Positive
  32. −5/8
  33. −7/8
  34. 7/36
  35. −8/9
  36. −1/6
  37. Positive
  38. −7/9
  39. −2/3
  40. −1/2

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