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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 167 · 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 the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  2. 2.Write −8/18 in standard form (lowest terms, positive denominator). (a) −8/18 (b) −4/9 (c) 4/9 (d) −9/4
  3. 3.Write −18/30 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −18/30
  4. 4.What is the additive inverse of −1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  5. 5.What is 2/3 − (−5/9)? (a) 7/12 (b) −11/9 (c) 11/9 (d) 1/9
  6. 6.What is (−1/8) − 4/9? (a) 41/72 (b) 23/72 (c) −41/72 (d) −5/17
  7. 7.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  8. 8.What is (−2/5) + 1/5? (a) −3/5 (b) −1/10 (c) 1/5 (d) −1/5
  9. 9.What is (−3/8) + (−6/7)? (a) 27/56 (b) −3/5 (c) 69/56 (d) −69/56
  10. 10.What is the additive inverse of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  11. 11.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  12. 12.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −8/20 (d) −5/2
  13. 13.What is 3/4 + (−2/3)? (a) −1/12 (b) 17/12 (c) 1/12 (d) 1/7
  14. 14.Which is bigger: −1/5 or −3/7? (a) −3/7 (b) −1/5
  15. 15.Is −8/6 positive or negative? (a) Negative (b) Positive
  16. 16.Which is bigger: −4/9 or −8/9? (a) −8/9 (b) −4/9
  17. 17.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −12/28 (c) −3/7 (d) 3/7
  18. 18.Is 8/4 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−2/3) + (−1/4)? (a) 11/12 (b) −5/12 (c) −11/12 (d) −3/7
  20. 20.What is 6/7 + (−2/3)? (a) 32/21 (b) 4/21 (c) 2/5 (d) −4/21
  21. 21.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  22. 22.What is the additive inverse of 3/7? (a) 3/7 (b) −7/3 (c) −3/7 (d) 7/3
  23. 23.What is (−5/8) + 2/7? (a) −51/56 (b) 19/56 (c) −1/5 (d) −19/56
  24. 24.What is 2/3 − (−6/7)? (a) −32/21 (b) 4/5 (c) −4/21 (d) 32/21
  25. 25.What is (−1/8) + (−1/4)? (a) 1/8 (b) 3/8 (c) −1/6 (d) −3/8
  26. 26.What is (−5/9) + (−1/9)? (a) −1/3 (b) −2/3 (c) −4/9 (d) 2/3
  27. 27.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −28/36 (b) −7/9 (c) −9/7 (d) 7/9
  28. 28.Is −5/3 positive or negative? (a) Negative (b) Positive
  29. 29.Write −3/9 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −3/9 (d) 1/3
  30. 30.Is −3/3 positive or negative? (a) Positive (b) Negative
  31. 31.Write −12/30 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −12/30 (d) −2/5
  32. 32.What is (−1/3) − (−4/5)? (a) 3/8 (b) −17/15 (c) 7/15 (d) −7/15
  33. 33.Which is smaller: −5/6 or −4/7? (a) −4/7 (b) −5/6
  34. 34.What is the additive inverse of −4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  35. 35.Is −7/9 positive or negative? (a) Positive (b) Negative
  36. 36.What is 4/9 + (−7/8)? (a) −3/17 (b) 31/72 (c) 95/72 (d) −31/72
  37. 37.What is 5/6 + (−2/5)? (a) −13/30 (b) 3/11 (c) 13/30 (d) 37/30
  38. 38.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −6/10 (d) −5/3
  39. 39.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) −8/3 (c) 3/8 (d) −3/8
  40. 40.Write −12/28 in standard form (lowest terms, positive denominator). (a) −12/28 (b) −3/7 (c) 3/7 (d) −7/3

Answer key

  1. 8/5
  2. −4/9
  3. −3/5
  4. 1/9
  5. 11/9
  6. −41/72
  7. −7/4
  8. −1/5
  9. −69/56
  10. 3/4
  11. Negative
  12. −2/5
  13. 1/12
  14. −1/5
  15. Negative
  16. −4/9
  17. −3/7
  18. Positive
  19. −11/12
  20. 4/21
  21. Negative
  22. −3/7
  23. −19/56
  24. 32/21
  25. −3/8
  26. −2/3
  27. −7/9
  28. Negative
  29. −1/3
  30. Negative
  31. −2/5
  32. 7/15
  33. −5/6
  34. 4/7
  35. Negative
  36. −31/72
  37. 13/30
  38. −3/5
  39. −3/8
  40. −3/7

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