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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 425 · 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 3/4 + (−3/7)? (a) −9/28 (b) 0 (c) 9/28 (d) 33/28
  2. 2.Is −1/6 positive or negative? (a) Positive (b) Negative
  3. 3.Is 4/8 positive or negative? (a) Positive (b) Negative
  4. 4.What is the additive inverse of 7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  5. 5.What is 2/5 + (−2/3)? (a) 16/15 (b) −4/15 (c) 4/15 (d) 0
  6. 6.What is the additive inverse of −8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  7. 7.Which is bigger: −5/9 or −5/7? (a) −5/9 (b) −5/7
  8. 8.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  9. 9.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  10. 10.Which is bigger: −2/5 or −4/9? (a) −2/5 (b) −4/9
  11. 11.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −8/14 (c) −7/4 (d) 4/7
  12. 12.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −20/25 (c) −4/5 (d) −5/4
  13. 13.What is 2/7 + (−5/9)? (a) −17/63 (b) −3/16 (c) 17/63 (d) 53/63
  14. 14.What is (−6/7) − 2/7? (a) −8/7 (b) 8/7 (c) −4/7
  15. 15.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  16. 16.What is 2/9 − (−1/9)? (a) −1/3 (b) 1/3 (c) 1/9 (d) 1/6
  17. 17.What is (−5/9) + 1/6? (a) −13/18 (b) 7/18 (c) −7/18 (d) −4/15
  18. 18.What is (−1/8) + (−1/6)? (a) 7/24 (b) −1/7 (c) 1/24 (d) −7/24
  19. 19.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  20. 20.Which is smaller: −1/3 or 3/4? (a) 3/4 (b) −1/3
  21. 21.What is 1/8 − (−5/6)? (a) 23/24 (b) 3/7 (c) −23/24 (d) −17/24
  22. 22.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −9/1 (d) −1/9
  23. 23.Write −12/42 in standard form (lowest terms, positive denominator). (a) −12/42 (b) −7/2 (c) −2/7 (d) 2/7
  24. 24.Is −3/9 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/5) + 5/7? (a) −18/35 (b) 1/3 (c) 18/35 (d) −32/35
  26. 26.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −20/32 (b) 5/8 (c) −5/8 (d) −8/5
  27. 27.Which is smaller: −7/8 or −2/5? (a) −7/8 (b) −2/5
  28. 28.Which is bigger: −3/5 or 3/4? (a) −3/5 (b) 3/4
  29. 29.What is the additive inverse of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  30. 30.What is (−4/5) + (−3/4)? (a) −7/9 (b) 31/20 (c) −31/20 (d) −1/20
  31. 31.What is (−3/8) − (−1/7)? (a) −2/15 (b) −29/56 (c) 13/56 (d) −13/56
  32. 32.What is (−5/9) + (−2/3)? (a) −11/9 (b) −7/12 (c) 1/9 (d) 11/9
  33. 33.Is 2/2 positive or negative? (a) Negative (b) Positive
  34. 34.Is −6/8 positive or negative? (a) Negative (b) Positive
  35. 35.Which is smaller: −2/5 or −6/7? (a) −2/5 (b) −6/7
  36. 36.What is the additive inverse of −2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  37. 37.What is the additive inverse of 1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  38. 38.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −16/18 (c) 8/9 (d) −8/9
  39. 39.What is the additive inverse of 4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  40. 40.What is 4/5 − (−1/2)? (a) −13/10 (b) 5/7 (c) 3/10 (d) 13/10

Answer key

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

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