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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 319 · 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 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  2. 2.What is (−5/8) − 3/7? (a) −8/15 (b) −11/56 (c) 59/56 (d) −59/56
  3. 3.What is 2/5 + (−2/9)? (a) 8/45 (b) 28/45 (c) 0 (d) −8/45
  4. 4.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  5. 5.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) 5/8 (c) −5/8 (d) −8/5
  6. 6.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  7. 7.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  8. 8.What is (−1/4) + 7/9? (a) 6/13 (b) 19/36 (c) −19/36 (d) −37/36
  9. 9.What is (−2/9) + 5/6? (a) 1/5 (b) −11/18 (c) −19/18 (d) 11/18
  10. 10.What is (−1/8) − 6/7? (a) 55/56 (b) −55/56 (c) −7/15 (d) 41/56
  11. 11.What is (−3/5) − 1/9? (a) −2/7 (b) −22/45 (c) −32/45 (d) 32/45
  12. 12.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −21/27 (d) −7/9
  13. 13.What is 2/5 − (−3/5)? (a) 1 (b) 1/2 (c) −1/5 (d) −1
  14. 14.Which is bigger: −3/4 or 1/6? (a) 1/6 (b) −3/4
  15. 15.What is (−1/4) + (−1/8)? (a) 3/8 (b) −1/8 (c) −1/6 (d) −3/8
  16. 16.What is (−1/5) + (−5/9)? (a) −3/7 (b) 34/45 (c) 16/45 (d) −34/45
  17. 17.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  18. 18.What is 5/9 + (−1/9)? (a) 2/3 (b) 4/9 (c) 2/9 (d) −4/9
  19. 19.Which is bigger: −1/8 or −3/8? (a) −3/8 (b) −1/8
  20. 20.Which is bigger: −5/6 or −4/7? (a) −4/7 (b) −5/6
  21. 21.What is 1/2 + (−5/9)? (a) −1/18 (b) 1/18 (c) −4/11 (d) 19/18
  22. 22.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −8/12 (b) −2/3 (c) −3/2 (d) 2/3
  23. 23.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  24. 24.Is −1/4 positive or negative? (a) Positive (b) Negative
  25. 25.Is −1/3 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/6) + 5/8? (a) −11/24 (b) 11/24 (c) 2/7 (d) −19/24
  27. 27.Which is bigger: −1/3 or −4/7? (a) −4/7 (b) −1/3
  28. 28.What is (−1/6) + 3/8? (a) 1/7 (b) −5/24 (c) 5/24 (d) −13/24
  29. 29.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −4/28
  30. 30.Write −18/48 in standard form (lowest terms, positive denominator). (a) −18/48 (b) 3/8 (c) −8/3 (d) −3/8
  31. 31.Which is smaller: −5/9 or −1/6? (a) −1/6 (b) −5/9
  32. 32.What is (−3/4) − 1/3? (a) −13/12 (b) 13/12 (c) −4/7 (d) −5/12
  33. 33.What is the additive inverse of −1/9? (a) 1/9 (b) −1/9 (c) 9 (d) −9
  34. 34.What is (−1/4) − (−1/2)? (a) 0 (b) −3/4 (c) −1/4 (d) 1/4
  35. 35.What is (−3/8) − 5/9? (a) 67/72 (b) 13/72 (c) −67/72 (d) −8/17
  36. 36.What is the additive inverse of −4/7? (a) 7/4 (b) −4/7 (c) 4/7 (d) −7/4
  37. 37.Is 2/6 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−1/7) + 7/9? (a) −58/63 (b) 3/8 (c) 40/63 (d) −40/63
  39. 39.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) 3/4 (c) −4/3 (d) −3/4
  40. 40.Which is bigger: −5/9 or −2/3? (a) −5/9 (b) −2/3

Answer key

  1. 9/8
  2. −59/56
  3. 8/45
  4. 3
  5. −5/8
  6. −7/4
  7. 3/2
  8. 19/36
  9. 11/18
  10. −55/56
  11. −32/45
  12. −7/9
  13. 1
  14. 1/6
  15. −3/8
  16. −34/45
  17. Positive
  18. 4/9
  19. −1/8
  20. −4/7
  21. −1/18
  22. −2/3
  23. −6/7
  24. Negative
  25. Negative
  26. 11/24
  27. −1/3
  28. 5/24
  29. −1/7
  30. −3/8
  31. −5/9
  32. −13/12
  33. 1/9
  34. 1/4
  35. −67/72
  36. 4/7
  37. Positive
  38. 40/63
  39. −3/4
  40. −5/9

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