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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 491 · 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.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −24/28 (d) −7/6
  2. 2.Which is smaller: −3/8 or −2/3? (a) −2/3 (b) −3/8
  3. 3.What is (−1/6) − (−4/5)? (a) 19/30 (b) −29/30 (c) 3/11 (d) −19/30
  4. 4.Write −6/9 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −6/9 (c) 2/3 (d) −3/2
  5. 5.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −7/3 (d) −9/21
  6. 6.What is 7/9 + (−1/6)? (a) 2/5 (b) 11/18 (c) −11/18 (d) 17/18
  7. 7.What is 3/5 − (−1/2)? (a) 1/10 (b) 4/7 (c) 11/10 (d) −11/10
  8. 8.Which is bigger: −4/9 or −2/5? (a) −2/5 (b) −4/9
  9. 9.What is (−5/6) − 6/7? (a) 1/42 (b) 71/42 (c) −11/13 (d) −71/42
  10. 10.What is (−1/5) − 1/4? (a) 1/20 (b) −9/20 (c) 9/20 (d) −2/9
  11. 11.Which is bigger: −1/2 or −5/9? (a) −5/9 (b) −1/2
  12. 12.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  13. 13.What is 2/7 + (−3/8)? (a) −5/56 (b) 37/56 (c) −1/15 (d) 5/56
  14. 14.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −4/16
  15. 15.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  16. 16.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −15/20 (c) −4/3 (d) 3/4
  17. 17.Is 4/7 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−3/4) − 4/9? (a) −11/36 (b) 43/36 (c) −43/36 (d) −7/13
  19. 19.Is 8/4 positive or negative? (a) Positive (b) Negative
  20. 20.What is the additive inverse of −1/6? (a) −6 (b) 6 (c) −1/6 (d) 1/6
  21. 21.Which is bigger: −1/4 or −1/9? (a) −1/4 (b) −1/9
  22. 22.Is 1/7 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −7/8 or −5/7? (a) −7/8 (b) −5/7
  24. 24.Which is bigger: −3/7 or −4/5? (a) −3/7 (b) −4/5
  25. 25.What is (−2/7) − (−1/8)? (a) −1/15 (b) 9/56 (c) −9/56 (d) −23/56
  26. 26.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −6/9 (b) −2/3 (c) 2/3 (d) −3/2
  27. 27.What is (−2/9) + (−7/9)? (a) −1 (b) 5/9 (c) 1 (d) −1/2
  28. 28.Is −7/6 positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −3/4 or 2/9? (a) −3/4 (b) 2/9
  30. 30.What is 1/2 + (−3/7)? (a) 13/14 (b) 1/14 (c) −2/9 (d) −1/14
  31. 31.What is the additive inverse of 1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  32. 32.Write −16/36 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −16/36 (d) −9/4
  33. 33.What is (−3/4) − (−4/9)? (a) −11/36 (b) 11/36 (c) 1/13 (d) −43/36
  34. 34.Which is bigger: −2/7 or 1/7? (a) −2/7 (b) 1/7
  35. 35.Which is bigger: −1/6 or −2/3? (a) −2/3 (b) −1/6
  36. 36.What is (−1/3) − (−2/5)? (a) −1/15 (b) 1/15 (c) −11/15 (d) 1/8
  37. 37.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/16 (c) −4/1 (d) 1/4
  38. 38.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  39. 39.What is (−5/9) − 1/3? (a) 8/9 (b) −1/2 (c) −2/9 (d) −8/9
  40. 40.Is 8/(−8) positive or negative? (a) Negative (b) Positive

Answer key

  1. −6/7
  2. −2/3
  3. 19/30
  4. −2/3
  5. −3/7
  6. 11/18
  7. 11/10
  8. −2/5
  9. −71/42
  10. −9/20
  11. −1/2
  12. Negative
  13. −5/56
  14. −1/4
  15. −5/3
  16. −3/4
  17. Positive
  18. −43/36
  19. Positive
  20. 1/6
  21. −1/9
  22. Positive
  23. −7/8
  24. −3/7
  25. −9/56
  26. −2/3
  27. −1
  28. Negative
  29. 2/9
  30. 1/14
  31. −1/7
  32. −4/9
  33. −11/36
  34. 1/7
  35. −1/6
  36. 1/15
  37. −1/4
  38. −3/8
  39. −8/9
  40. Negative

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