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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 304 · 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 4/9 − (−5/7)? (a) 9/16 (b) −73/63 (c) −17/63 (d) 73/63
  2. 2.What is the additive inverse of 8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  3. 3.Which is bigger: −3/4 or −5/9? (a) −5/9 (b) −3/4
  4. 4.What is the additive inverse of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  5. 5.What is (−2/5) − (−1/5)? (a) 1/5 (b) −1/10 (c) −3/5 (d) −1/5
  6. 6.Which is bigger: −2/9 or −1/2? (a) −1/2 (b) −2/9
  7. 7.Is −7/3 positive or negative? (a) Negative (b) Positive
  8. 8.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −12/16 (d) −3/4
  9. 9.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  10. 10.What is (−1/5) − 8/9? (a) −9/14 (b) 31/45 (c) 49/45 (d) −49/45
  11. 11.What is 1/4 + (−1/9)? (a) 13/36 (b) 5/36 (c) 0 (d) −5/36
  12. 12.What is (−2/3) + 1/6? (a) 1/2 (b) −1/2 (c) −1/9 (d) −5/6
  13. 13.Which is bigger: −7/8 or 1/8? (a) −7/8 (b) 1/8
  14. 14.What is (−7/8) + 2/9? (a) −5/17 (b) −47/72 (c) 47/72 (d) −79/72
  15. 15.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −6/27 (d) −9/2
  16. 16.What is (−5/7) + 5/6? (a) 0 (b) 5/42 (c) −5/42 (d) −65/42
  17. 17.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) −5/4 (c) 4/5 (d) −4/5
  18. 18.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −4/16 (d) 1/4
  19. 19.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  20. 20.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  21. 21.What is (−4/5) − (−6/7)? (a) −2/35 (b) −58/35 (c) 2/35 (d) 1/6
  22. 22.What is (−1/8) − (−1/4)? (a) 0 (b) 1/8 (c) −3/8 (d) −1/8
  23. 23.Is 2/9 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −1/4 or 2/5? (a) 2/5 (b) −1/4
  25. 25.Which is bigger: −7/9 or −5/7? (a) −5/7 (b) −7/9
  26. 26.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  27. 27.What is (−2/3) + (−1/6)? (a) −5/6 (b) −1/2 (c) −1/3 (d) 5/6
  28. 28.Is −8/3 positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −3/8 or −5/7? (a) −3/8 (b) −5/7
  30. 30.Write −25/45 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −25/45 (d) −5/9
  31. 31.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  32. 32.What is the additive inverse of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  33. 33.What is the additive inverse of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  34. 34.What is 2/7 + (−8/9)? (a) 74/63 (b) −3/8 (c) −38/63 (d) 38/63
  35. 35.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  36. 36.What is (−2/3) + 4/9? (a) 2/9 (b) −10/9 (c) −2/9 (d) 1/6
  37. 37.What is (−1/9) + (−4/9)? (a) −5/9 (b) 1/3 (c) −5/18 (d) 5/9
  38. 38.What is (−4/5) − (−1/8)? (a) −3/13 (b) −27/40 (c) 27/40 (d) −37/40
  39. 39.Write −35/40 in standard form (lowest terms, positive denominator). (a) −35/40 (b) −8/7 (c) 7/8 (d) −7/8
  40. 40.What is 1/6 + (−7/9)? (a) 17/18 (b) −11/18 (c) 11/18 (d) −2/5

Answer key

  1. 73/63
  2. −8/9
  3. −5/9
  4. −1/7
  5. −1/5
  6. −2/9
  7. Negative
  8. −3/4
  9. −6/7
  10. −49/45
  11. 5/36
  12. −1/2
  13. 1/8
  14. −47/72
  15. −2/9
  16. 5/42
  17. −4/5
  18. −1/4
  19. 4
  20. 5/2
  21. 2/35
  22. 1/8
  23. Positive
  24. 2/5
  25. −5/7
  26. −1/3
  27. −5/6
  28. Negative
  29. −5/7
  30. −5/9
  31. −1/3
  32. −3/5
  33. 5/9
  34. −38/63
  35. −2/3
  36. −2/9
  37. −5/9
  38. −27/40
  39. −7/8
  40. −11/18

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