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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 861 · 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) + (−5/7)? (a) 53/35 (b) −53/35 (c) −3/4 (d) −3/35
  2. 2.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) 3/4 (c) −4/3 (d) −3/4
  3. 3.What is (−1/5) + (−1/9)? (a) 14/45 (b) −4/45 (c) −1/7 (d) −14/45
  4. 4.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −16/18 (b) 8/9 (c) −9/8 (d) −8/9
  5. 5.What is (−2/5) − (−2/5)? (a) −4/5 (b) 0
  6. 6.Is 8/5 positive or negative? (a) Positive (b) Negative
  7. 7.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −12/27 (d) 4/9
  8. 8.What is (−2/3) + 1/8? (a) −1/11 (b) −13/24 (c) −19/24 (d) 13/24
  9. 9.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −18/48 (b) −8/3 (c) 3/8 (d) −3/8
  10. 10.Which is smaller: −2/7 or −3/5? (a) −2/7 (b) −3/5
  11. 11.Which is smaller: −3/5 or −1/3? (a) −3/5 (b) −1/3
  12. 12.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/7) + (−1/3)? (a) 10/21 (b) 4/21 (c) −10/21 (d) −1/5
  14. 14.What is (−1/7) + (−4/5)? (a) 23/35 (b) 33/35 (c) −33/35 (d) −5/12
  15. 15.Which is bigger: −3/5 or −5/9? (a) −5/9 (b) −3/5
  16. 16.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) −5/2 (c) −2/5 (d) 2/5
  17. 17.Which is bigger: −2/5 or 1/9? (a) 1/9 (b) −2/5
  18. 18.Which is bigger: −2/7 or −1/9? (a) −1/9 (b) −2/7
  19. 19.What is (−3/5) − (−2/3)? (a) −19/15 (b) −1/8 (c) −1/15 (d) 1/15
  20. 20.Which is smaller: −2/3 or −1/2? (a) −1/2 (b) −2/3
  21. 21.What is 5/8 + (−4/7)? (a) 1/15 (b) −3/56 (c) 67/56 (d) 3/56
  22. 22.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  23. 23.What is 5/6 + (−3/4)? (a) −1/12 (b) 19/12 (c) 1/5 (d) 1/12
  24. 24.What is (−1/6) + (−5/7)? (a) 37/42 (b) −6/13 (c) −37/42 (d) 23/42
  25. 25.What is (−6/7) − (−7/9)? (a) −103/63 (b) −5/63 (c) 1/16 (d) 5/63
  26. 26.What is (−1/5) + (−3/7)? (a) −22/35 (b) 22/35 (c) −1/3 (d) 8/35
  27. 27.What is 1/2 − (−6/7)? (a) 19/14 (b) −5/14 (c) −19/14 (d) 7/9
  28. 28.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −12/28 (c) 3/7 (d) −3/7
  29. 29.Which is bigger: −1/4 or −5/6? (a) −5/6 (b) −1/4
  30. 30.What is 1/2 + (−4/7)? (a) −1/3 (b) 15/14 (c) −1/14 (d) 1/14
  31. 31.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −30/42 (d) 5/7
  32. 32.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  33. 33.What is (−1/9) + 5/8? (a) −53/72 (b) −37/72 (c) 37/72 (d) 4/17
  34. 34.Which is smaller: −1/3 or −8/9? (a) −8/9 (b) −1/3
  35. 35.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) 1/6 (c) −6/1 (d) −1/6
  36. 36.What is (−1/8) − (−5/9)? (a) 31/72 (b) −49/72 (c) −31/72 (d) 4/17
  37. 37.What is (−1/7) − 1/9? (a) −2/63 (b) −1/8 (c) −16/63 (d) 16/63
  38. 38.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −2/3 or −6/7? (a) −2/3 (b) −6/7
  40. 40.What is 2/3 − (−3/4)? (a) −1/12 (b) 17/12 (c) 5/7 (d) −17/12

Answer key

  1. −53/35
  2. −3/4
  3. −14/45
  4. −8/9
  5. 0
  6. Positive
  7. −4/9
  8. −13/24
  9. −3/8
  10. −3/5
  11. −3/5
  12. Negative
  13. −10/21
  14. −33/35
  15. −5/9
  16. −2/5
  17. 1/9
  18. −1/9
  19. 1/15
  20. −2/3
  21. 3/56
  22. Positive
  23. 1/12
  24. −37/42
  25. −5/63
  26. −22/35
  27. 19/14
  28. −3/7
  29. −1/4
  30. −1/14
  31. −5/7
  32. 2/5
  33. 37/72
  34. −8/9
  35. −1/6
  36. 31/72
  37. −16/63
  38. Positive
  39. −2/3
  40. 17/12

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