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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 680 · 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 1/7 − (−4/7)? (a) −3/7 (b) 5/14 (c) 5/7 (d) −5/7
  2. 2.Write −2/12 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −2/12 (c) −1/6 (d) 1/6
  3. 3.What is the additive inverse of 3/7? (a) −3/7 (b) 7/3 (c) 3/7 (d) −7/3
  4. 4.What is (−1/5) − (−6/7)? (a) 23/35 (b) −37/35 (c) 5/12 (d) −23/35
  5. 5.What is the additive inverse of 2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  6. 6.Write −30/54 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −30/54 (d) −9/5
  7. 7.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  8. 8.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −5/25 (d) −1/5
  9. 9.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  10. 10.Which is bigger: −1/9 or 5/9? (a) 5/9 (b) −1/9
  11. 11.Which is smaller: −3/7 or −8/9? (a) −8/9 (b) −3/7
  12. 12.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) 1/7 (c) −1/7 (d) −7/1
  13. 13.What is (−8/9) + 1/8? (a) −73/72 (b) 55/72 (c) −55/72 (d) −7/17
  14. 14.Write −8/10 in standard form (lowest terms, positive denominator). (a) −8/10 (b) 4/5 (c) −4/5 (d) −5/4
  15. 15.Which is bigger: −4/5 or −5/7? (a) −5/7 (b) −4/5
  16. 16.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −15/24 (c) −5/8 (d) −8/5
  17. 17.What is 1/3 + (−7/8)? (a) −6/11 (b) −13/24 (c) 13/24 (d) 29/24
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  19. 19.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −4/9 (d) −9/4
  20. 20.What is 4/5 + (−1/8)? (a) 3/13 (b) 37/40 (c) 27/40 (d) −27/40
  21. 21.Is −3/3 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−1/9) + (−2/3)? (a) −7/9 (b) 7/9 (c) 5/9 (d) −1/4
  23. 23.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −6/36
  24. 24.Write −12/32 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −12/32 (c) −8/3 (d) −3/8
  25. 25.Which is smaller: −3/7 or −1/8? (a) −1/8 (b) −3/7
  26. 26.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  27. 27.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) 7/9 (c) −9/7 (d) −7/9
  28. 28.What is (−8/9) + 5/8? (a) 19/72 (b) −109/72 (c) −3/17 (d) −19/72
  29. 29.Which is smaller: −1/2 or 2/7? (a) 2/7 (b) −1/2
  30. 30.What is (−6/7) + 8/9? (a) −2/63 (b) −110/63 (c) 1/8 (d) 2/63
  31. 31.What is (−2/7) + 1/8? (a) 9/56 (b) −23/56 (c) −9/56 (d) −1/15
  32. 32.What is (−4/5) + (−3/5)? (a) −7/10 (b) −7/5 (c) 7/5 (d) −1/5
  33. 33.What is 3/8 − (−8/9)? (a) 91/72 (b) 11/17 (c) −37/72 (d) −91/72
  34. 34.Write −16/36 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −16/36
  35. 35.What is (−1/7) − 5/8? (a) −43/56 (b) 43/56 (c) 27/56 (d) −2/5
  36. 36.What is the additive inverse of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  37. 37.Is −9/5 positive or negative? (a) Positive (b) Negative
  38. 38.What is the additive inverse of 1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  39. 39.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  40. 40.Which is bigger: −1/3 or −1/7? (a) −1/3 (b) −1/7

Answer key

  1. 5/7
  2. −1/6
  3. −3/7
  4. 23/35
  5. −2/3
  6. −5/9
  7. Negative
  8. −1/5
  9. −7/2
  10. 5/9
  11. −8/9
  12. −1/7
  13. −55/72
  14. −4/5
  15. −5/7
  16. −5/8
  17. −13/24
  18. 3/2
  19. −9/4
  20. 27/40
  21. Negative
  22. −7/9
  23. −1/6
  24. −3/8
  25. −3/7
  26. −8/5
  27. −7/9
  28. −19/72
  29. −1/2
  30. 2/63
  31. −9/56
  32. −7/5
  33. 91/72
  34. −4/9
  35. −43/56
  36. −3/5
  37. Negative
  38. −1/4
  39. −7/3
  40. −1/7

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