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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 463 · 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 −10/35 in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −2/7 (d) −10/35
  2. 2.What is (−5/6) − 5/8? (a) −5/7 (b) 35/24 (c) −5/24 (d) −35/24
  3. 3.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  4. 4.What is the additive inverse of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  5. 5.What is 5/7 − (−4/9)? (a) −73/63 (b) 17/63 (c) 73/63 (d) 9/16
  6. 6.What is (−2/5) + (−1/5)? (a) −3/5 (b) −3/10 (c) −1/5 (d) 3/5
  7. 7.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −3/15 (c) −1/5 (d) −5/1
  8. 8.What is the additive inverse of −4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  9. 9.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −7/9 or −2/5? (a) −2/5 (b) −7/9
  11. 11.What is (−1/5) − 8/9? (a) −49/45 (b) 31/45 (c) 49/45 (d) −9/14
  12. 12.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) −7/1 (c) 1/7 (d) −1/7
  13. 13.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.Write −20/32 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −20/32
  15. 15.What is (−2/5) − 8/9? (a) −58/45 (b) 58/45 (c) 22/45 (d) −5/7
  16. 16.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  17. 17.Is −8/6 positive or negative? (a) Positive (b) Negative
  18. 18.Which is smaller: −3/4 or −2/7? (a) −2/7 (b) −3/4
  19. 19.What is (−1/3) − 4/7? (a) 19/21 (b) 5/21 (c) −1/2 (d) −19/21
  20. 20.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −2/3 or 2/7? (a) 2/7 (b) −2/3
  22. 22.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −14/16 (d) 7/8
  23. 23.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −3/18 (d) 1/6
  25. 25.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  26. 26.What is the additive inverse of 6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  27. 27.Is 4/9 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−8/9) − 1/2? (a) −7/18 (b) −9/11 (c) 25/18 (d) −25/18
  29. 29.What is the additive inverse of −5/6? (a) 6/5 (b) −5/6 (c) 5/6 (d) −6/5
  30. 30.Which is smaller: −2/9 or 1/4? (a) −2/9 (b) 1/4
  31. 31.What is (−1/3) + 1/5? (a) 0 (b) −8/15 (c) −2/15 (d) 2/15
  32. 32.What is (−1/9) − (−3/7)? (a) −34/63 (b) −20/63 (c) 1/8 (d) 20/63
  33. 33.Which is bigger: −1/6 or −2/7? (a) −1/6 (b) −2/7
  34. 34.Write −40/45 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −40/45 (d) 8/9
  35. 35.What is 1/7 + (−1/7)? (a) 2/7 (b) 0
  36. 36.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 4 (c) 1/4 (d) −4
  37. 37.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  38. 38.Write −8/18 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −8/18 (d) −9/4
  39. 39.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −18/24 (c) −4/3 (d) 3/4
  40. 40.What is (−4/9) + 4/5? (a) −56/45 (b) 0 (c) −16/45 (d) 16/45

Answer key

  1. −2/7
  2. −35/24
  3. 7/2
  4. −2/3
  5. 73/63
  6. −3/5
  7. −1/5
  8. 4/5
  9. Positive
  10. −2/5
  11. −49/45
  12. −1/7
  13. Negative
  14. −5/8
  15. −58/45
  16. Negative
  17. Negative
  18. −3/4
  19. −19/21
  20. Negative
  21. −2/3
  22. −7/8
  23. Negative
  24. −1/6
  25. 5/8
  26. −6/7
  27. Positive
  28. −25/18
  29. 5/6
  30. −2/9
  31. −2/15
  32. 20/63
  33. −1/6
  34. −8/9
  35. 0
  36. 4
  37. Negative
  38. −4/9
  39. −3/4
  40. 16/45

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