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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 935 · 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 −3/7? (a) −3/7 (b) −7/3 (c) 7/3 (d) 3/7
  2. 2.Write −32/36 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −32/36 (d) −8/9
  3. 3.Is −9/6 positive or negative? (a) Negative (b) Positive
  4. 4.What is 5/9 + (−3/4)? (a) −7/36 (b) 2/13 (c) 7/36 (d) 47/36
  5. 5.Is −6/6 positive or negative? (a) Positive (b) Negative
  6. 6.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  7. 7.What is (−1/8) − 2/5? (a) −3/13 (b) 21/40 (c) 11/40 (d) −21/40
  8. 8.Which is smaller: −5/6 or 5/9? (a) −5/6 (b) 5/9
  9. 9.Which is smaller: −8/9 or 2/5? (a) −8/9 (b) 2/5
  10. 10.What is 1/4 − (−4/7)? (a) 5/11 (b) 23/28 (c) −9/28 (d) −23/28
  11. 11.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −4/28 (b) −1/7 (c) 1/7 (d) −7/1
  12. 12.Is −2/(−6) positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −1/6 or 2/7? (a) 2/7 (b) −1/6
  14. 14.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  15. 15.What is 3/8 − (−6/7)? (a) 3/5 (b) −27/56 (c) 69/56 (d) −69/56
  16. 16.What is 7/8 − (−6/7)? (a) −97/56 (b) 13/15 (c) 1/56 (d) 97/56
  17. 17.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −25/40 (c) −8/5 (d) 5/8
  18. 18.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −3/8 or −5/8? (a) −5/8 (b) −3/8
  20. 20.What is (−1/8) + 2/7? (a) −23/56 (b) 1/15 (c) −9/56 (d) 9/56
  21. 21.What is 1/8 + (−5/7)? (a) 33/56 (b) 47/56 (c) −33/56 (d) −4/15
  22. 22.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  23. 23.Which is smaller: −5/8 or −5/6? (a) −5/8 (b) −5/6
  24. 24.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  26. 26.What is (−1/2) − 1/2? (a) −1 (b) −1/2 (c) 1 (d) 0
  27. 27.Write −20/36 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −20/36 (d) −9/5
  28. 28.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  29. 29.Is −4/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.What is the additive inverse of 2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  31. 31.What is 5/9 + (−3/7)? (a) 1/8 (b) −8/63 (c) 8/63 (d) 62/63
  32. 32.What is 2/7 + (−7/9)? (a) 31/63 (b) −31/63 (c) −5/16 (d) 67/63
  33. 33.What is (−1/3) + (−3/4)? (a) 5/12 (b) −4/7 (c) 13/12 (d) −13/12
  34. 34.What is (−5/7) + 5/8? (a) 0 (b) 5/56 (c) −5/56 (d) −75/56
  35. 35.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  36. 36.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −12/54 (c) 2/9 (d) −2/9
  37. 37.Which is bigger: −8/9 or −3/5? (a) −3/5 (b) −8/9
  38. 38.Which is smaller: −7/9 or 1/7? (a) 1/7 (b) −7/9
  39. 39.What is (−8/9) + 3/4? (a) −59/36 (b) −5/13 (c) −5/36 (d) 5/36
  40. 40.Which is smaller: −5/8 or −3/7? (a) −5/8 (b) −3/7

Answer key

  1. −7/3
  2. −8/9
  3. Negative
  4. −7/36
  5. Negative
  6. −7/4
  7. −21/40
  8. −5/6
  9. −8/9
  10. 23/28
  11. −1/7
  12. Positive
  13. 2/7
  14. −3
  15. 69/56
  16. 97/56
  17. −5/8
  18. Negative
  19. −3/8
  20. 9/56
  21. −33/56
  22. 8/7
  23. −5/6
  24. Positive
  25. −5/2
  26. −1
  27. −5/9
  28. Negative
  29. Positive
  30. −2/9
  31. 8/63
  32. −31/63
  33. −13/12
  34. −5/56
  35. 1/6
  36. −2/9
  37. −3/5
  38. −7/9
  39. −5/36
  40. −5/8

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