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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 9 · 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.Which is bigger: −5/8 or −2/3? (a) −5/8 (b) −2/3
  2. 2.What is 5/9 + (−2/5)? (a) 7/45 (b) 43/45 (c) 3/14 (d) −7/45
  3. 3.Which is bigger: −1/8 or −5/7? (a) −1/8 (b) −5/7
  4. 4.What is (−3/8) + 1/8? (a) 1/4 (b) −1/2 (c) −1/4 (d) −1/8
  5. 5.Which is smaller: −1/6 or 3/5? (a) −1/6 (b) 3/5
  6. 6.Which is smaller: −2/5 or −3/7? (a) −3/7 (b) −2/5
  7. 7.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  8. 8.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  9. 9.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  10. 10.What is (−6/7) − (−7/8)? (a) −97/56 (b) 1/15 (c) 1/56 (d) −1/56
  11. 11.Write −10/25 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −10/25
  12. 12.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  13. 13.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −35/45 (d) 7/9
  14. 14.What is the additive inverse of −5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  15. 15.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  16. 16.Is 5/6 positive or negative? (a) Negative (b) Positive
  17. 17.What is the reciprocal (multiplicative inverse) of 7/9? (a) −9/7 (b) 7/9 (c) 9/7 (d) −7/9
  18. 18.What is 3/5 − (−4/9)? (a) 1/2 (b) −47/45 (c) 7/45 (d) 47/45
  19. 19.Which is bigger: −6/7 or −3/5? (a) −6/7 (b) −3/5
  20. 20.What is (−1/7) − 7/8? (a) 41/56 (b) 57/56 (c) −8/15 (d) −57/56
  21. 21.What is (−1/4) + (−3/7)? (a) −4/11 (b) 19/28 (c) 5/28 (d) −19/28
  22. 22.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) −5/1 (c) −1/5 (d) 1/5
  23. 23.Which is bigger: −2/9 or 3/8? (a) 3/8 (b) −2/9
  24. 24.What is the additive inverse of −5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  25. 25.What is the additive inverse of −5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  26. 26.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  27. 27.What is (−7/8) + 7/9? (a) 0 (b) −119/72 (c) −7/72 (d) 7/72
  28. 28.Which is bigger: −3/7 or 8/9? (a) −3/7 (b) 8/9
  29. 29.What is (−2/3) − (−4/5)? (a) 2/15 (b) −2/15 (c) 1/4 (d) −22/15
  30. 30.What is (−7/8) + 2/7? (a) 33/56 (b) −33/56 (c) −65/56 (d) −1/3
  31. 31.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −4/16 (c) 1/4 (d) −1/4
  32. 32.What is (−3/8) − (−1/8)? (a) −1/8 (b) −1/2 (c) 1/4 (d) −1/4
  33. 33.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  34. 34.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  35. 35.What is (−4/5) − 6/7? (a) −5/6 (b) 58/35 (c) −58/35 (d) 2/35
  36. 36.What is (−3/5) + (−1/7)? (a) 26/35 (b) −16/35 (c) −1/3 (d) −26/35
  37. 37.What is (−4/7) − 4/7? (a) −8/7 (b) −4/7 (c) 8/7 (d) 0
  38. 38.What is the additive inverse of −6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  39. 39.What is 1/3 − (−4/5)? (a) −17/15 (b) 5/8 (c) 17/15 (d) −7/15
  40. 40.What is 4/7 − (−5/7)? (a) −1/7 (b) 9/14 (c) −9/7 (d) 9/7

Answer key

  1. −5/8
  2. 7/45
  3. −1/8
  4. −1/4
  5. −1/6
  6. −3/7
  7. −7/6
  8. 6/5
  9. 2/9
  10. 1/56
  11. −2/5
  12. 9/4
  13. −7/9
  14. 5/6
  15. Positive
  16. Positive
  17. 9/7
  18. 47/45
  19. −3/5
  20. −57/56
  21. −19/28
  22. −1/5
  23. 3/8
  24. 5/7
  25. 5/9
  26. −7/5
  27. −7/72
  28. 8/9
  29. 2/15
  30. −33/56
  31. −1/4
  32. −1/4
  33. 4/3
  34. 9/5
  35. −58/35
  36. −26/35
  37. −8/7
  38. 6/7
  39. 17/15
  40. 9/7

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