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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 483 · 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 12/(−20) in standard form (lowest terms, positive denominator). (a) −12/20 (b) −5/3 (c) 3/5 (d) −3/5
  2. 2.What is 2/5 − (−5/7)? (a) −11/35 (b) 39/35 (c) 7/12 (d) −39/35
  3. 3.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −5/6 or −8/9? (a) −5/6 (b) −8/9
  5. 5.What is 1/9 − (−1/7)? (a) 16/63 (b) 1/8 (c) −16/63 (d) −2/63
  6. 6.What is 2/9 + (−3/7)? (a) 41/63 (b) −1/16 (c) 13/63 (d) −13/63
  7. 7.What is (−2/3) + (−2/3)? (a) −4/3 (b) 0 (c) −2/3 (d) 4/3
  8. 8.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −12/15 (d) −4/5
  9. 9.Which is bigger: −4/5 or −1/7? (a) −1/7 (b) −4/5
  10. 10.What is 4/9 − (−6/7)? (a) −82/63 (b) 82/63 (c) 5/8 (d) −26/63
  11. 11.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  12. 12.Write −9/21 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) 3/7 (d) −7/3
  13. 13.What is 2/5 − (−2/3)? (a) −16/15 (b) −4/15 (c) 16/15 (d) 1/2
  14. 14.Which is smaller: −1/6 or −1/2? (a) −1/6 (b) −1/2
  15. 15.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  16. 16.What is (−2/5) − 1/2? (a) −3/7 (b) 9/10 (c) 1/10 (d) −9/10
  17. 17.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  18. 18.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −12/28 (c) 3/7 (d) −7/3
  19. 19.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) −4/5 (c) −5/4 (d) 4/5
  20. 20.What is 2/5 + (−5/8)? (a) −9/40 (b) 41/40 (c) 9/40 (d) −3/13
  21. 21.What is the additive inverse of −6/7? (a) −7/6 (b) 7/6 (c) −6/7 (d) 6/7
  22. 22.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −14/16
  23. 23.What is (−8/9) − (−1/2)? (a) −25/18 (b) −7/18 (c) 7/18 (d) −7/11
  24. 24.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  25. 25.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −1/2 (d) −2/1
  26. 26.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  27. 27.Is 8/6 positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −1/5 or −2/9? (a) −1/5 (b) −2/9
  29. 29.What is 8/9 + (−2/3)? (a) −2/9 (b) 2/9 (c) 1/2 (d) 14/9
  30. 30.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −7/3 (c) −3/7 (d) 7/3
  31. 31.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  32. 32.Which is bigger: −1/3 or 1/2? (a) 1/2 (b) −1/3
  33. 33.What is (−2/5) − 7/9? (a) 53/45 (b) 17/45 (c) −53/45 (d) −9/14
  34. 34.What is the additive inverse of 1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  35. 35.Is 7/3 positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of −5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  37. 37.What is the additive inverse of −2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  38. 38.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) 2/5 (c) −5/2 (d) −2/5
  39. 39.Which is bigger: −5/9 or 8/9? (a) 8/9 (b) −5/9
  40. 40.Write −2/18 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −2/18 (d) 1/9

Answer key

  1. −3/5
  2. 39/35
  3. Positive
  4. −8/9
  5. 16/63
  6. −13/63
  7. −4/3
  8. −4/5
  9. −1/7
  10. 82/63
  11. −2
  12. −3/7
  13. 16/15
  14. −1/2
  15. 7/8
  16. −9/10
  17. Negative
  18. −3/7
  19. −4/5
  20. −9/40
  21. 6/7
  22. −7/8
  23. −7/18
  24. 3/4
  25. −1/2
  26. 7/6
  27. Positive
  28. −2/9
  29. 2/9
  30. −7/3
  31. −8/7
  32. 1/2
  33. −53/45
  34. −1/6
  35. Positive
  36. 5/7
  37. 2/7
  38. −2/5
  39. 8/9
  40. −1/9

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