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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 23 · 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 −8/28 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −7/2 (d) −8/28
  2. 2.Write −14/16 in standard form (lowest terms, positive denominator). (a) −14/16 (b) −8/7 (c) 7/8 (d) −7/8
  3. 3.Which is smaller: −3/5 or −1/4? (a) −1/4 (b) −3/5
  4. 4.Is 9/3 positive or negative? (a) Negative (b) Positive
  5. 5.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) 4/7 (d) −4/7
  6. 6.Which is smaller: −2/7 or 1/9? (a) 1/9 (b) −2/7
  7. 7.What is (−2/9) − 4/9? (a) 2/9 (b) −1/3 (c) −2/3 (d) 2/3
  8. 8.Is −3/2 positive or negative? (a) Negative (b) Positive
  9. 9.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−3/7) − (−5/7)? (a) 1/7 (b) −2/7 (c) 2/7 (d) −8/7
  11. 11.Is 2/9 positive or negative? (a) Negative (b) Positive
  12. 12.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −3/15 (c) −1/5 (d) 1/5
  13. 13.Which is bigger: −3/8 or 5/6? (a) −3/8 (b) 5/6
  14. 14.What is (−4/7) + 1/9? (a) −29/63 (b) −43/63 (c) −3/16 (d) 29/63
  15. 15.What is 2/3 + (−3/4)? (a) 17/12 (b) 1/12 (c) −1/12 (d) −1/7
  16. 16.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  17. 17.What is (−3/5) + (−1/4)? (a) −17/20 (b) −4/9 (c) 17/20 (d) −7/20
  18. 18.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  19. 19.What is 1/2 + (−5/9)? (a) 19/18 (b) −4/11 (c) −1/18 (d) 1/18
  20. 20.Is 2/7 positive or negative? (a) Positive (b) Negative
  21. 21.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −2/4
  22. 22.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −12/21 (d) −4/7
  23. 23.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) 7/8 (d) −7/8
  24. 24.Is −9/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −18/30
  26. 26.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −10/15 (d) −2/3
  27. 27.What is (−2/5) + 1/4? (a) 3/20 (b) −13/20 (c) −3/20 (d) −1/9
  28. 28.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −28/36 (c) 7/9 (d) −7/9
  29. 29.Is −2/9 positive or negative? (a) Negative (b) Positive
  30. 30.Write −9/21 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) 3/7 (d) −7/3
  31. 31.Which is bigger: −4/5 or −8/9? (a) −8/9 (b) −4/5
  32. 32.What is 5/6 + (−8/9)? (a) 31/18 (b) 1/18 (c) −1/18 (d) −1/5
  33. 33.What is (−2/7) + (−1/6)? (a) −5/42 (b) −3/13 (c) 19/42 (d) −19/42
  34. 34.What is the additive inverse of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  35. 35.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −15/20 (d) 3/4
  36. 36.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −28/36
  37. 37.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  38. 38.Which is smaller: −2/5 or 1/6? (a) 1/6 (b) −2/5
  39. 39.What is 3/5 + (−1/5)? (a) −2/5 (b) 1/5 (c) 2/5 (d) 4/5
  40. 40.Is −1/8 positive or negative? (a) Positive (b) Negative

Answer key

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

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