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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 796 · 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 −9/24 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −9/24 (c) 3/8 (d) −8/3
  2. 2.What is (−1/3) − 7/9? (a) 10/9 (b) 4/9 (c) −2/3 (d) −10/9
  3. 3.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) 7/3 (c) −7/3 (d) −3/7
  4. 4.Write −12/21 in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −12/21 (d) −7/4
  5. 5.What is 3/7 + (−3/5)? (a) 6/35 (b) −6/35 (c) 0 (d) 36/35
  6. 6.Write −8/28 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −8/28 (d) −7/2
  7. 7.What is the additive inverse of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  8. 8.Which is bigger: −5/7 or −2/3? (a) −2/3 (b) −5/7
  9. 9.Which is smaller: −1/9 or 1/5? (a) −1/9 (b) 1/5
  10. 10.What is (−1/3) − 8/9? (a) 11/9 (b) −11/9 (c) 5/9 (d) −3/4
  11. 11.What is 6/7 + (−1/9)? (a) 61/63 (b) 5/16 (c) 47/63 (d) −47/63
  12. 12.What is (−1/4) + 2/3? (a) 1/7 (b) −11/12 (c) −5/12 (d) 5/12
  13. 13.Which is smaller: −3/7 or −1/5? (a) −1/5 (b) −3/7
  14. 14.What is 5/8 − (−1/7)? (a) 27/56 (b) 2/5 (c) 43/56 (d) −43/56
  15. 15.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  16. 16.What is the additive inverse of 1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  17. 17.What is 1/5 + (−2/9)? (a) 1/45 (b) −1/14 (c) −1/45 (d) 19/45
  18. 18.What is (−7/9) + (−2/9)? (a) −1 (b) −5/9 (c) 1 (d) −1/2
  19. 19.What is (−1/3) − (−2/3)? (a) −1/3 (b) 1/6 (c) 1/3 (d) −1
  20. 20.What is (−5/9) − 5/6? (a) 25/18 (b) −2/3 (c) −25/18 (d) 5/18
  21. 21.What is (−2/3) − 2/3? (a) −4/3 (b) 0 (c) 4/3 (d) −2/3
  22. 22.Which is bigger: −7/9 or −1/5? (a) −7/9 (b) −1/5
  23. 23.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −2/14 (d) −7/1
  24. 24.What is 1/4 + (−2/9)? (a) −1/13 (b) 17/36 (c) 1/36 (d) −1/36
  25. 25.Which is bigger: −2/9 or 1/2? (a) 1/2 (b) −2/9
  26. 26.Is −5/(−7) positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −6/7 or 1/7? (a) 1/7 (b) −6/7
  28. 28.What is 1/5 + (−4/9)? (a) −11/45 (b) −3/14 (c) 11/45 (d) 29/45
  29. 29.What is (−1/8) + 4/5? (a) −27/40 (b) 3/13 (c) −37/40 (d) 27/40
  30. 30.Write −14/18 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −14/18 (d) −9/7
  31. 31.What is 1/7 − (−1/7)? (a) 1/7 (b) 0 (c) −2/7 (d) 2/7
  32. 32.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −3/1 (d) −1/3
  33. 33.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −24/28 (d) −6/7
  34. 34.Is −5/6 positive or negative? (a) Positive (b) Negative
  35. 35.What is 4/5 + (−2/9)? (a) 46/45 (b) 1/7 (c) −26/45 (d) 26/45
  36. 36.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) −3/2 (d) 2/3
  37. 37.Is −5/2 positive or negative? (a) Positive (b) Negative
  38. 38.What is 2/5 − (−1/9)? (a) −23/45 (b) 3/14 (c) 23/45 (d) 13/45
  39. 39.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −7/5 (d) −5/7
  40. 40.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −6/27 (d) −9/2

Answer key

  1. −3/8
  2. −10/9
  3. −7/3
  4. −4/7
  5. −6/35
  6. −2/7
  7. 1/2
  8. −2/3
  9. −1/9
  10. −11/9
  11. 47/63
  12. 5/12
  13. −3/7
  14. 43/56
  15. 9
  16. −1/8
  17. −1/45
  18. −1
  19. 1/3
  20. −25/18
  21. −4/3
  22. −1/5
  23. −1/7
  24. 1/36
  25. 1/2
  26. Positive
  27. 1/7
  28. −11/45
  29. 27/40
  30. −7/9
  31. 2/7
  32. −1/3
  33. −6/7
  34. Negative
  35. 26/45
  36. −2/3
  37. Negative
  38. 23/45
  39. −5/7
  40. −2/9

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