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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 608 · 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 (−5/6) + 3/8? (a) 11/24 (b) −1/7 (c) −11/24 (d) −29/24
  2. 2.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −2/8 (d) −1/4
  3. 3.Which is bigger: −6/7 or 3/7? (a) 3/7 (b) −6/7
  4. 4.Which is bigger: −2/9 or −1/8? (a) −2/9 (b) −1/8
  5. 5.Which is smaller: −4/5 or −3/5? (a) −3/5 (b) −4/5
  6. 6.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −10/15 (c) −3/2 (d) 2/3
  7. 7.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  8. 8.Write −16/20 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −16/20 (d) 4/5
  9. 9.Write −25/30 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −25/30
  10. 10.Which is bigger: −1/8 or 4/5? (a) 4/5 (b) −1/8
  11. 11.What is 5/7 − (−2/3)? (a) 7/10 (b) 1/21 (c) 29/21 (d) −29/21
  12. 12.What is the additive inverse of 4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  13. 13.What is (−1/2) + (−7/8)? (a) 3/8 (b) 11/8 (c) −4/5 (d) −11/8
  14. 14.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) 5/8 (c) −5/8 (d) −8/5
  15. 15.What is (−5/7) + (−5/7)? (a) 10/7 (b) 0 (c) −5/7 (d) −10/7
  16. 16.Write −3/12 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −3/12
  17. 17.What is (−1/2) + 1/7? (a) 5/14 (b) −5/14 (c) −9/14 (d) 0
  18. 18.Write −30/35 in standard form (lowest terms, positive denominator). (a) −30/35 (b) −6/7 (c) −7/6 (d) 6/7
  19. 19.Write −12/15 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −12/15 (c) −4/5 (d) 4/5
  20. 20.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  21. 21.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  22. 22.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −20/28 (d) 5/7
  23. 23.Write −5/45 in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −5/45
  24. 24.What is the additive inverse of −5/6? (a) 6/5 (b) 5/6 (c) −5/6 (d) −6/5
  25. 25.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) 1/7 (c) −1/7 (d) −7
  26. 26.What is (−1/6) + (−1/4)? (a) 1/12 (b) −5/12 (c) −1/5 (d) 5/12
  27. 27.What is (−7/8) − 2/5? (a) −19/40 (b) −51/40 (c) −9/13 (d) 51/40
  28. 28.What is (−1/5) + 1/9? (a) 0 (b) −14/45 (c) −4/45 (d) 4/45
  29. 29.Is −2/8 positive or negative? (a) Positive (b) Negative
  30. 30.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6
  31. 31.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  32. 32.What is (−4/5) − 1/2? (a) −5/7 (b) −13/10 (c) −3/10 (d) 13/10
  33. 33.What is 1/3 + (−5/6)? (a) −1/2 (b) 7/6 (c) 1/2 (d) −4/9
  34. 34.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  35. 35.Which is smaller: −1/5 or −5/6? (a) −5/6 (b) −1/5
  36. 36.Write −6/48 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −6/48 (c) −1/8 (d) −8/1
  37. 37.Which is smaller: −2/3 or −6/7? (a) −6/7 (b) −2/3
  38. 38.What is (−5/6) + (−1/4)? (a) −7/12 (b) −13/12 (c) −3/5 (d) 13/12
  39. 39.Write −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −8/36 (d) −2/9
  40. 40.Which is bigger: −3/5 or −5/8? (a) −3/5 (b) −5/8

Answer key

  1. −11/24
  2. −1/4
  3. 3/7
  4. −1/8
  5. −4/5
  6. −2/3
  7. 5/7
  8. −4/5
  9. −5/6
  10. 4/5
  11. 29/21
  12. −4/5
  13. −11/8
  14. −5/8
  15. −10/7
  16. −1/4
  17. −5/14
  18. −6/7
  19. −4/5
  20. Positive
  21. 9/2
  22. −5/7
  23. −1/9
  24. 5/6
  25. 7
  26. −5/12
  27. −51/40
  28. −4/45
  29. Negative
  30. 6/7
  31. −2/7
  32. −13/10
  33. −1/2
  34. Positive
  35. −5/6
  36. −1/8
  37. −6/7
  38. −13/12
  39. −2/9
  40. −3/5

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