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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 283 · 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.Write −40/45 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −40/45 (d) −8/9
  2. 2.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  3. 3.What is the additive inverse of 2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  4. 4.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) −3/27 (d) 1/9
  5. 5.Write −9/21 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) −7/3 (d) 3/7
  6. 6.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) −6/21 (d) 2/7
  8. 8.What is (−1/3) + 6/7? (a) 1/2 (b) −11/21 (c) −25/21 (d) 11/21
  9. 9.Write −36/42 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −36/42 (d) −6/7
  10. 10.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  11. 11.What is (−1/6) + 1/7? (a) −13/42 (b) −1/42 (c) 1/42 (d) 0
  12. 12.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −18/42 (d) 3/7
  13. 13.What is 1/3 + (−3/4)? (a) 13/12 (b) 5/12 (c) −5/12 (d) −2/7
  14. 14.What is 2/7 − (−2/3)? (a) 2/5 (b) −8/21 (c) 20/21 (d) −20/21
  15. 15.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  16. 16.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−3/7) + 1/7? (a) −1/7 (b) −4/7 (c) 2/7 (d) −2/7
  18. 18.What is (−1/8) − 2/7? (a) 9/56 (b) 23/56 (c) −23/56 (d) −1/5
  19. 19.Write −25/30 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −25/30 (c) 5/6 (d) −5/6
  20. 20.What is (−1/7) + 2/5? (a) −9/35 (b) −19/35 (c) 9/35 (d) 1/12
  21. 21.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  22. 22.What is the additive inverse of 3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  23. 23.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  24. 24.Is −4/4 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−4/5) + 1/3? (a) −7/15 (b) −3/8 (c) 7/15 (d) −17/15
  26. 26.What is (−3/8) + 2/3? (a) 7/24 (b) −1/11 (c) −25/24 (d) −7/24
  27. 27.What is 1/5 + (−1/8)? (a) −3/40 (b) 0 (c) 3/40 (d) 13/40
  28. 28.Write −20/25 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −20/25 (d) −4/5
  29. 29.Which is smaller: −2/3 or 8/9? (a) 8/9 (b) −2/3
  30. 30.What is (−1/2) + (−4/7)? (a) 15/14 (b) 1/14 (c) −5/9 (d) −15/14
  31. 31.What is the additive inverse of 4/5? (a) −4/5 (b) 5/4 (c) 4/5 (d) −5/4
  32. 32.Which is smaller: −1/3 or −5/6? (a) −5/6 (b) −1/3
  33. 33.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  34. 34.What is (−1/8) − 1/4? (a) −3/8 (b) −1/6 (c) 3/8 (d) 1/8
  35. 35.What is 1/6 − (−5/8)? (a) 19/24 (b) 3/7 (c) −11/24 (d) −19/24
  36. 36.What is 5/9 − (−4/9)? (a) 1/2 (b) 1/9 (c) 1 (d) −1
  37. 37.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −30/42
  38. 38.Which is smaller: −1/9 or 1/4? (a) 1/4 (b) −1/9
  39. 39.What is 7/9 + (−5/8)? (a) −11/72 (b) 2/17 (c) 101/72 (d) 11/72
  40. 40.What is 6/7 − (−1/6)? (a) 43/42 (b) 29/42 (c) −43/42 (d) 7/13

Answer key

  1. −8/9
  2. Positive
  3. −2/3
  4. −1/9
  5. −3/7
  6. Positive
  7. −2/7
  8. 11/21
  9. −6/7
  10. Positive
  11. −1/42
  12. −3/7
  13. −5/12
  14. 20/21
  15. Negative
  16. Negative
  17. −2/7
  18. −23/56
  19. −5/6
  20. 9/35
  21. −6/5
  22. −3/5
  23. Negative
  24. Negative
  25. −7/15
  26. 7/24
  27. 3/40
  28. −4/5
  29. −2/3
  30. −15/14
  31. −4/5
  32. −5/6
  33. −7/5
  34. −3/8
  35. 19/24
  36. 1
  37. −5/7
  38. −1/9
  39. 11/72
  40. 43/42

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