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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 478 · 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 (−3/7) − 5/6? (a) −8/13 (b) −53/42 (c) 17/42 (d) 53/42
  2. 2.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) 1/9 (d) −5/45
  3. 3.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  4. 4.Write −6/18 in standard form (lowest terms, positive denominator). (a) −6/18 (b) −1/3 (c) 1/3 (d) −3/1
  5. 5.Which is bigger: −1/4 or −1/6? (a) −1/4 (b) −1/6
  6. 6.What is the additive inverse of 5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  7. 7.Which is bigger: −1/8 or −3/8? (a) −3/8 (b) −1/8
  8. 8.Which is smaller: −2/9 or −7/9? (a) −7/9 (b) −2/9
  9. 9.What is (−2/3) + (−8/9)? (a) 2/9 (b) 14/9 (c) −5/6 (d) −14/9
  10. 10.What is (−1/2) + (−8/9)? (a) −9/11 (b) −25/18 (c) 25/18 (d) 7/18
  11. 11.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) −7 (c) 1/7 (d) 7
  12. 12.Is −9/8 positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −4/7 or 1/6? (a) −4/7 (b) 1/6
  14. 14.What is (−4/9) + (−1/8)? (a) 41/72 (b) −41/72 (c) −5/17 (d) −23/72
  15. 15.What is (−3/8) − 5/8? (a) 1/4 (b) 1 (c) −1 (d) −1/2
  16. 16.Is −7/2 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−3/8) − 7/9? (a) 29/72 (b) 83/72 (c) −10/17 (d) −83/72
  18. 18.Which is bigger: −1/8 or 4/9? (a) −1/8 (b) 4/9
  19. 19.What is 4/5 + (−6/7)? (a) 2/35 (b) 58/35 (c) −1/6 (d) −2/35
  20. 20.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −15/24 (c) 5/8 (d) −8/5
  21. 21.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  22. 22.Is −7/8 positive or negative? (a) Negative (b) Positive
  23. 23.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  24. 24.What is the additive inverse of −2/7? (a) 7/2 (b) −2/7 (c) −7/2 (d) 2/7
  25. 25.Which is bigger: −2/7 or −1/4? (a) −1/4 (b) −2/7
  26. 26.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −3/18 (b) −1/6 (c) −6/1 (d) 1/6
  27. 27.What is (−5/8) + 2/7? (a) 19/56 (b) −1/5 (c) −19/56 (d) −51/56
  28. 28.What is (−2/9) − 1/8? (a) −7/72 (b) 25/72 (c) −3/17 (d) −25/72
  29. 29.Which is smaller: −2/9 or 3/7? (a) −2/9 (b) 3/7
  30. 30.Which is smaller: −3/4 or −4/5? (a) −4/5 (b) −3/4
  31. 31.What is 5/9 − (−3/4)? (a) 47/36 (b) 8/13 (c) −7/36 (d) −47/36
  32. 32.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) −4/14 (d) 2/7
  33. 33.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −40/45
  34. 34.What is the additive inverse of −6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  35. 35.What is (−3/7) + 5/9? (a) −8/63 (b) −62/63 (c) 1/8 (d) 8/63
  36. 36.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 1/9 (d) 9
  37. 37.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −5/7 (d) −7/5
  38. 38.What is 1/6 − (−5/9)? (a) −13/18 (b) 13/18 (c) −7/18 (d) 2/5
  39. 39.What is (−1/4) + (−7/9)? (a) 19/36 (b) 37/36 (c) −37/36 (d) −8/13
  40. 40.Is 9/2 positive or negative? (a) Negative (b) Positive

Answer key

  1. −53/42
  2. −1/9
  3. −5
  4. −1/3
  5. −1/6
  6. −5/7
  7. −1/8
  8. −7/9
  9. −14/9
  10. −25/18
  11. 7
  12. Negative
  13. −4/7
  14. −41/72
  15. −1
  16. Negative
  17. −83/72
  18. 4/9
  19. −2/35
  20. −5/8
  21. 9/2
  22. Negative
  23. −5/4
  24. 2/7
  25. −1/4
  26. −1/6
  27. −19/56
  28. −25/72
  29. −2/9
  30. −4/5
  31. 47/36
  32. −2/7
  33. −8/9
  34. 6/7
  35. 8/63
  36. 9
  37. −5/7
  38. 13/18
  39. −37/36
  40. Positive

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