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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 182 · 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.Which is bigger: −5/8 or −5/7? (a) −5/7 (b) −5/8
  2. 2.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −4/10 (d) 2/5
  3. 3.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −7/2 (d) −8/28
  4. 4.What is (−1/9) − (−1/3)? (a) 2/9 (b) 0 (c) −4/9 (d) −2/9
  5. 5.Which is smaller: −6/7 or −5/7? (a) −6/7 (b) −5/7
  6. 6.What is (−5/8) + 1/3? (a) −23/24 (b) −7/24 (c) −4/11 (d) 7/24
  7. 7.What is the additive inverse of 2/9? (a) 2/9 (b) −9/2 (c) 9/2 (d) −2/9
  8. 8.What is 7/8 + (−1/8)? (a) 3/8 (b) 1 (c) −3/4 (d) 3/4
  9. 9.Which is bigger: −2/9 or 1/3? (a) −2/9 (b) 1/3
  10. 10.What is (−1/4) − 1/6? (a) −5/12 (b) −1/12 (c) 5/12 (d) −1/5
  11. 11.What is (−2/7) + 1/6? (a) −5/42 (b) 5/42 (c) −19/42 (d) −1/13
  12. 12.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  13. 13.What is the additive inverse of 5/8? (a) 8/5 (b) 5/8 (c) −8/5 (d) −5/8
  14. 14.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  15. 15.What is (−1/3) − (−1/3)? (a) 0 (b) −2/3
  16. 16.Write −14/16 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −14/16 (c) −7/8 (d) −8/7
  17. 17.Which is smaller: −8/9 or −1/6? (a) −1/6 (b) −8/9
  18. 18.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −16/18 (d) −9/8
  19. 19.What is 3/8 + (−4/5)? (a) −1/13 (b) 17/40 (c) −17/40 (d) 47/40
  20. 20.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −20/32 (d) −8/5
  21. 21.What is 1/2 − (−5/7)? (a) −17/14 (b) 17/14 (c) 2/3 (d) −3/14
  22. 22.What is (−1/5) + 1/4? (a) 0 (b) −1/20 (c) −9/20 (d) 1/20
  23. 23.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of 1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  25. 25.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −15/27 (b) −9/5 (c) 5/9 (d) −5/9
  27. 27.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) 9/8 (c) −8/9 (d) −9/8
  28. 28.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  29. 29.What is (−5/8) − 5/8? (a) −5/4 (b) 5/4 (c) −5/8 (d) 0
  30. 30.What is (−1/8) + (−6/7)? (a) −55/56 (b) 55/56 (c) 41/56 (d) −7/15
  31. 31.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −18/21
  32. 32.Which is smaller: −5/6 or 3/8? (a) 3/8 (b) −5/6
  33. 33.What is (−1/2) − (−5/7)? (a) −17/14 (b) 4/9 (c) 3/14 (d) −3/14
  34. 34.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −3/1 (d) −1/3
  35. 35.What is 5/8 + (−2/9)? (a) 29/72 (b) 61/72 (c) 3/17 (d) −29/72
  36. 36.Which is bigger: −4/5 or −1/4? (a) −1/4 (b) −4/5
  37. 37.Is 6/5 positive or negative? (a) Positive (b) Negative
  38. 38.What is 2/3 + (−4/7)? (a) 2/21 (b) −2/21 (c) 26/21 (d) −1/5
  39. 39.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of −7/9? (a) −9/7 (b) 9/7 (c) 7/9 (d) −7/9

Answer key

  1. −5/8
  2. −2/5
  3. −2/7
  4. 2/9
  5. −6/7
  6. −7/24
  7. −2/9
  8. 3/4
  9. 1/3
  10. −5/12
  11. −5/42
  12. −6/5
  13. −5/8
  14. 8/5
  15. 0
  16. −7/8
  17. −8/9
  18. −8/9
  19. −17/40
  20. −5/8
  21. 17/14
  22. 1/20
  23. Negative
  24. −1/8
  25. Positive
  26. −5/9
  27. −9/8
  28. −4/7
  29. −5/4
  30. −55/56
  31. −6/7
  32. −5/6
  33. 3/14
  34. −1/3
  35. 29/72
  36. −1/4
  37. Positive
  38. 2/21
  39. Negative
  40. 7/9

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