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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 595 · 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 6/7 − (−5/9)? (a) −89/63 (b) 11/16 (c) 89/63 (d) 19/63
  2. 2.What is 2/9 + (−2/3)? (a) −4/9 (b) 0 (c) 4/9 (d) 8/9
  3. 3.Is 7/4 positive or negative? (a) Negative (b) Positive
  4. 4.What is the additive inverse of 1/6? (a) −6 (b) 1/6 (c) 6 (d) −1/6
  5. 5.What is (−1/5) − (−1/5)? (a) 0 (b) −2/5
  6. 6.Write −4/32 in standard form (lowest terms, positive denominator). (a) −4/32 (b) 1/8 (c) −1/8 (d) −8/1
  7. 7.What is (−3/5) + (−3/8)? (a) −9/40 (b) −6/13 (c) 39/40 (d) −39/40
  8. 8.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  9. 9.Which is bigger: −8/9 or −3/5? (a) −8/9 (b) −3/5
  10. 10.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −6/42 (d) 1/7
  11. 11.What is 5/6 + (−3/7)? (a) 2/13 (b) 17/42 (c) −17/42 (d) 53/42
  12. 12.Is −1/5 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/3) − (−1/6)? (a) 0 (b) −1/6 (c) −1/2 (d) 1/6
  14. 14.Write −14/18 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −7/9 (d) −14/18
  15. 15.What is (−4/9) − 3/8? (a) −59/72 (b) 59/72 (c) −5/72 (d) −7/17
  16. 16.What is (−1/6) + 3/5? (a) −23/30 (b) 13/30 (c) −13/30 (d) 2/11
  17. 17.Which is bigger: −3/5 or 4/5? (a) 4/5 (b) −3/5
  18. 18.What is (−5/7) + 5/9? (a) −80/63 (b) −10/63 (c) 0 (d) 10/63
  19. 19.What is the additive inverse of 6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  20. 20.What is 3/5 + (−7/9)? (a) 8/45 (b) −2/7 (c) 62/45 (d) −8/45
  21. 21.Which is smaller: −4/7 or −3/8? (a) −3/8 (b) −4/7
  22. 22.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  23. 23.Which is bigger: −5/9 or −3/5? (a) −5/9 (b) −3/5
  24. 24.Is −7/4 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−3/4) − 2/3? (a) −1/12 (b) 17/12 (c) −5/7 (d) −17/12
  26. 26.Write −25/45 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −25/45 (c) −9/5 (d) 5/9
  27. 27.What is (−1/8) − (−4/7)? (a) 25/56 (b) 1/5 (c) −39/56 (d) −25/56
  28. 28.What is (−3/4) − (−1/2)? (a) −1/3 (b) −1/4 (c) −5/4 (d) 1/4
  29. 29.Which is smaller: −8/9 or −2/9? (a) −2/9 (b) −8/9
  30. 30.Which is smaller: −2/9 or −2/7? (a) −2/7 (b) −2/9
  31. 31.Which is smaller: −5/6 or 5/9? (a) −5/6 (b) 5/9
  32. 32.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  33. 33.What is (−1/9) − 2/9? (a) 1/9 (b) 1/3 (c) −1/6 (d) −1/3
  34. 34.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  36. 36.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −18/21 (d) −7/6
  37. 37.What is (−4/9) − 1/3? (a) 7/9 (b) −1/9 (c) −5/12 (d) −7/9
  38. 38.Which is smaller: −2/9 or −1/9? (a) −1/9 (b) −2/9
  39. 39.What is (−1/5) + 5/8? (a) −33/40 (b) 4/13 (c) −17/40 (d) 17/40
  40. 40.What is (−4/9) + 1/2? (a) −17/18 (b) −1/18 (c) 1/18 (d) −3/11

Answer key

  1. 89/63
  2. −4/9
  3. Positive
  4. −1/6
  5. 0
  6. −1/8
  7. −39/40
  8. −8/3
  9. −3/5
  10. −1/7
  11. 17/42
  12. Negative
  13. −1/6
  14. −7/9
  15. −59/72
  16. 13/30
  17. 4/5
  18. −10/63
  19. −6/7
  20. −8/45
  21. −4/7
  22. −7/2
  23. −5/9
  24. Negative
  25. −17/12
  26. −5/9
  27. 25/56
  28. −1/4
  29. −8/9
  30. −2/7
  31. −5/6
  32. −7/5
  33. −1/3
  34. Negative
  35. 5
  36. −6/7
  37. −7/9
  38. −2/9
  39. 17/40
  40. 1/18

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