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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 788 · 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 (−3/4) + 4/9? (a) 11/36 (b) −43/36 (c) −11/36 (d) 1/13
  2. 2.Which is smaller: −1/8 or 2/7? (a) −1/8 (b) 2/7
  3. 3.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −5/6 (d) −30/36
  4. 4.Which is smaller: −4/7 or −4/5? (a) −4/7 (b) −4/5
  5. 5.Write −15/21 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −15/21 (c) 5/7 (d) −7/5
  6. 6.What is (−1/3) + 6/7? (a) −25/21 (b) −11/21 (c) 11/21 (d) 1/2
  7. 7.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  8. 8.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −20/32 (b) −5/8 (c) 5/8 (d) −8/5
  9. 9.Which is bigger: −5/6 or −1/3? (a) −5/6 (b) −1/3
  10. 10.Write −4/20 in standard form (lowest terms, positive denominator). (a) −4/20 (b) −5/1 (c) 1/5 (d) −1/5
  11. 11.What is (−2/5) + (−3/4)? (a) −23/20 (b) 7/20 (c) 23/20 (d) −5/9
  12. 12.What is 5/6 − (−5/7)? (a) −65/42 (b) 10/13 (c) 5/42 (d) 65/42
  13. 13.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  14. 14.What is 2/7 + (−2/3)? (a) 8/21 (b) 0 (c) 20/21 (d) −8/21
  15. 15.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  16. 16.What is (−1/3) + (−1/5)? (a) 8/15 (b) −1/4 (c) −2/15 (d) −8/15
  17. 17.Is −5/2 positive or negative? (a) Positive (b) Negative
  18. 18.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7
  19. 19.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −6/10 (d) −3/5
  20. 20.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  21. 21.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −3/12
  22. 22.What is (−3/8) + (−1/5)? (a) 23/40 (b) −7/40 (c) −4/13 (d) −23/40
  23. 23.What is (−5/8) + (−5/9)? (a) −10/17 (b) −85/72 (c) 85/72 (d) −5/72
  24. 24.Write −20/36 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −20/36
  25. 25.What is (−5/7) + 7/9? (a) 1/8 (b) 4/63 (c) −4/63 (d) −94/63
  26. 26.Which is smaller: −5/9 or −2/3? (a) −5/9 (b) −2/3
  27. 27.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −48/54 (d) −8/9
  28. 28.What is (−1/5) − 5/9? (a) 34/45 (b) −34/45 (c) −3/7 (d) 16/45
  29. 29.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  30. 30.Which is smaller: −1/5 or 4/9? (a) −1/5 (b) 4/9
  31. 31.Which is bigger: −4/9 or −1/3? (a) −1/3 (b) −4/9
  32. 32.Which is bigger: −8/9 or 2/7? (a) −8/9 (b) 2/7
  33. 33.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  34. 34.Is −6/4 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−2/9) − 2/5? (a) 28/45 (b) 8/45 (c) −28/45 (d) −2/7
  36. 36.What is (−1/4) + (−2/3)? (a) 11/12 (b) −3/7 (c) 5/12 (d) −11/12
  37. 37.Which is bigger: −2/7 or 3/8? (a) 3/8 (b) −2/7
  38. 38.What is the additive inverse of −7/9? (a) 9/7 (b) −9/7 (c) 7/9 (d) −7/9
  39. 39.Which is smaller: −4/9 or −3/5? (a) −3/5 (b) −4/9
  40. 40.Which is bigger: −1/4 or −2/5? (a) −1/4 (b) −2/5

Answer key

  1. −11/36
  2. −1/8
  3. −5/6
  4. −4/5
  5. −5/7
  6. 11/21
  7. 5/9
  8. −5/8
  9. −1/3
  10. −1/5
  11. −23/20
  12. 65/42
  13. 7/3
  14. −8/21
  15. 1/5
  16. −8/15
  17. Negative
  18. 7
  19. −3/5
  20. −3
  21. −1/4
  22. −23/40
  23. −85/72
  24. −5/9
  25. 4/63
  26. −2/3
  27. −8/9
  28. −34/45
  29. −4/3
  30. −1/5
  31. −1/3
  32. 2/7
  33. Positive
  34. Negative
  35. −28/45
  36. −11/12
  37. 3/8
  38. 7/9
  39. −3/5
  40. −1/4

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