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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 74 · 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 4/5 + (−4/9)? (a) 56/45 (b) 16/45 (c) 0 (d) −16/45
  2. 2.What is 3/7 − (−2/3)? (a) 1/2 (b) −5/21 (c) 23/21 (d) −23/21
  3. 3.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −15/24 (d) −8/5
  4. 4.Which is smaller: −1/3 or 1/2? (a) 1/2 (b) −1/3
  5. 5.What is (−4/9) + (−3/4)? (a) 43/36 (b) 11/36 (c) −43/36 (d) −7/13
  6. 6.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  8. 8.Is 9/5 positive or negative? (a) Negative (b) Positive
  9. 9.Which is bigger: −3/8 or −1/2? (a) −1/2 (b) −3/8
  10. 10.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −6/18 (c) 1/3 (d) −3/1
  11. 11.What is (−2/7) − 7/8? (a) 65/56 (b) −3/5 (c) 33/56 (d) −65/56
  12. 12.What is the additive inverse of −3/7? (a) 3/7 (b) −3/7 (c) −7/3 (d) 7/3
  13. 13.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −7/6 (c) 6/7 (d) −24/28
  14. 14.What is 3/5 − (−1/6)? (a) −23/30 (b) 23/30 (c) 4/11 (d) 13/30
  15. 15.Which is bigger: −1/3 or −2/7? (a) −2/7 (b) −1/3
  16. 16.Which is smaller: −8/9 or 5/9? (a) −8/9 (b) 5/9
  17. 17.What is the additive inverse of 6/7? (a) −7/6 (b) 7/6 (c) 6/7 (d) −6/7
  18. 18.What is (−1/6) + 2/9? (a) 1/15 (b) −7/18 (c) 1/18 (d) −1/18
  19. 19.What is (−1/4) + (−1/2)? (a) −1/3 (b) 1/4 (c) −3/4 (d) 3/4
  20. 20.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −2/8 (c) −4/1 (d) −1/4
  21. 21.What is (−5/6) − (−3/7)? (a) −2/13 (b) −53/42 (c) 17/42 (d) −17/42
  22. 22.What is 1/5 + (−3/8)? (a) 23/40 (b) −2/13 (c) −7/40 (d) 7/40
  23. 23.What is (−1/3) + (−1/5)? (a) −2/15 (b) −1/4 (c) 8/15 (d) −8/15
  24. 24.What is 2/5 + (−2/5)? (a) 0 (b) 4/5
  25. 25.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −10/16 (d) 5/8
  26. 26.What is (−1/4) − (−1/4)? (a) 0 (b) −1/2
  27. 27.Which is bigger: −4/9 or 2/3? (a) −4/9 (b) 2/3
  28. 28.What is the additive inverse of 4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  29. 29.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) −7/2 (d) 2/7
  30. 30.Is −2/6 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−3/5) + (−3/4)? (a) −2/3 (b) −27/20 (c) 3/20 (d) 27/20
  32. 32.Is −6/7 positive or negative? (a) Positive (b) Negative
  33. 33.Is −4/(−6) positive or negative? (a) Positive (b) Negative
  34. 34.Write −3/21 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −1/7 (d) −3/21
  35. 35.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) 4/5 (c) −5/4 (d) −4/5
  36. 36.What is (−1/7) + (−5/9)? (a) −3/8 (b) 26/63 (c) 44/63 (d) −44/63
  37. 37.Is −8/4 positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −1/8 or 1/7? (a) −1/8 (b) 1/7
  39. 39.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −7/4 (d) −24/42
  40. 40.Write −15/24 in standard form (lowest terms, positive denominator). (a) −15/24 (b) 5/8 (c) −5/8 (d) −8/5

Answer key

  1. 16/45
  2. 23/21
  3. −5/8
  4. −1/3
  5. −43/36
  6. Negative
  7. 3/2
  8. Positive
  9. −3/8
  10. −1/3
  11. −65/56
  12. 3/7
  13. −6/7
  14. 23/30
  15. −2/7
  16. −8/9
  17. −6/7
  18. 1/18
  19. −3/4
  20. −1/4
  21. −17/42
  22. −7/40
  23. −8/15
  24. 0
  25. −5/8
  26. 0
  27. 2/3
  28. −4/5
  29. −2/7
  30. Negative
  31. −27/20
  32. Negative
  33. Positive
  34. −1/7
  35. −4/5
  36. −44/63
  37. Negative
  38. −1/8
  39. −4/7
  40. −5/8

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