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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 807 · 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) + (−2/7)? (a) −10/63 (b) −3/8 (c) 46/63 (d) −46/63
  2. 2.Which is bigger: −3/8 or 5/6? (a) 5/6 (b) −3/8
  3. 3.Which is smaller: −7/9 or −5/6? (a) −5/6 (b) −7/9
  4. 4.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −5/40 (d) −1/8
  5. 5.Which is bigger: −3/4 or 1/7? (a) 1/7 (b) −3/4
  6. 6.What is (−3/5) + 7/9? (a) −62/45 (b) 8/45 (c) 2/7 (d) −8/45
  7. 7.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) −9/7 (c) 7/9 (d) 9/7
  8. 8.What is (−4/9) + 1/7? (a) −3/16 (b) −19/63 (c) 19/63 (d) −37/63
  9. 9.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −20/36 (d) 5/9
  10. 10.Write −2/12 in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −2/12
  11. 11.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  12. 12.What is (−1/2) − 8/9? (a) 7/18 (b) −25/18 (c) −9/11 (d) 25/18
  13. 13.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  14. 14.Write −21/27 in standard form (lowest terms, positive denominator). (a) −21/27 (b) −7/9 (c) 7/9 (d) −9/7
  15. 15.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) −9/8 (c) −8/9 (d) 8/9
  16. 16.Which is bigger: −1/2 or −2/5? (a) −1/2 (b) −2/5
  17. 17.What is (−2/5) + 4/5? (a) −2/5 (b) −6/5 (c) 2/5 (d) 1/5
  18. 18.Which is bigger: −2/9 or 3/4? (a) −2/9 (b) 3/4
  19. 19.Which is bigger: −5/7 or 1/4? (a) 1/4 (b) −5/7
  20. 20.What is (−1/7) + (−7/8)? (a) 57/56 (b) −8/15 (c) 41/56 (d) −57/56
  21. 21.Which is smaller: −2/7 or 3/7? (a) 3/7 (b) −2/7
  22. 22.Which is smaller: −8/9 or 3/7? (a) 3/7 (b) −8/9
  23. 23.What is (−1/4) + 1/4? (a) 0 (b) −1/2
  24. 24.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  25. 25.What is (−7/8) − (−1/4)? (a) −1/2 (b) −5/8 (c) 5/8 (d) −9/8
  26. 26.What is (−1/3) + (−8/9)? (a) −3/4 (b) 11/9 (c) 5/9 (d) −11/9
  27. 27.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −10/15
  28. 28.What is (−4/5) + (−1/5)? (a) −1/2 (b) −3/5 (c) −1 (d) 1
  29. 29.Which is smaller: −7/9 or −5/7? (a) −5/7 (b) −7/9
  30. 30.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) −9/5 (c) 5/9 (d) −5/9
  31. 31.What is (−4/7) + (−1/4)? (a) −9/28 (b) 23/28 (c) −23/28 (d) −5/11
  32. 32.What is (−5/7) + (−3/7)? (a) −2/7 (b) 8/7 (c) −4/7 (d) −8/7
  33. 33.What is (−1/8) − (−1/3)? (a) 0 (b) −11/24 (c) 5/24 (d) −5/24
  34. 34.What is (−7/8) − 2/7? (a) −33/56 (b) −3/5 (c) 65/56 (d) −65/56
  35. 35.What is the additive inverse of −3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  36. 36.Write −30/54 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −30/54 (d) −9/5
  37. 37.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −12/32 (b) 3/8 (c) −8/3 (d) −3/8
  38. 38.What is (−1/6) − (−3/7)? (a) 2/13 (b) 11/42 (c) −25/42 (d) −11/42
  39. 39.What is 1/2 − (−4/5)? (a) −13/10 (b) 5/7 (c) 13/10 (d) −3/10
  40. 40.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5

Answer key

  1. −46/63
  2. 5/6
  3. −5/6
  4. −1/8
  5. 1/7
  6. 8/45
  7. −9/7
  8. −19/63
  9. −5/9
  10. −1/6
  11. −5/2
  12. −25/18
  13. Positive
  14. −7/9
  15. −8/9
  16. −2/5
  17. 2/5
  18. 3/4
  19. 1/4
  20. −57/56
  21. −2/7
  22. −8/9
  23. 0
  24. −7
  25. −5/8
  26. −11/9
  27. −2/3
  28. −1
  29. −7/9
  30. −5/9
  31. −23/28
  32. −8/7
  33. 5/24
  34. −65/56
  35. 3/5
  36. −5/9
  37. −3/8
  38. 11/42
  39. 13/10
  40. −9/5

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