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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 239 · 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: −5/7 or −4/9? (a) −5/7 (b) −4/9
  2. 2.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −9/15
  3. 3.Which is bigger: −3/4 or 5/8? (a) −3/4 (b) 5/8
  4. 4.Is −1/4 positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −2/7 or −2/5? (a) −2/7 (b) −2/5
  6. 6.What is (−8/9) − (−3/5)? (a) −13/45 (b) −5/14 (c) −67/45 (d) 13/45
  7. 7.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −15/27 (d) −5/9
  8. 8.Which is smaller: −2/9 or −1/5? (a) −2/9 (b) −1/5
  9. 9.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −3/24 (d) 1/8
  10. 10.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −3/15 (c) −5/1 (d) 1/5
  11. 11.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) −2/3 (d) 2/3
  12. 12.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  13. 13.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −5/6 (d) −6/5
  14. 14.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  15. 15.Which is bigger: −1/6 or −5/6? (a) −5/6 (b) −1/6
  16. 16.What is (−1/7) − (−4/9)? (a) 3/16 (b) −19/63 (c) 19/63 (d) −37/63
  17. 17.What is 5/8 + (−3/4)? (a) 1/8 (b) −1/8 (c) 1/6 (d) 11/8
  18. 18.What is the additive inverse of 4/9? (a) 9/4 (b) −9/4 (c) 4/9 (d) −4/9
  19. 19.What is (−3/5) − 8/9? (a) 13/45 (b) −67/45 (c) 67/45 (d) −11/14
  20. 20.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  21. 21.What is (−2/5) + (−1/2)? (a) 9/10 (b) 1/10 (c) −3/7 (d) −9/10
  22. 22.Which is smaller: −1/6 or 4/5? (a) −1/6 (b) 4/5
  23. 23.Which is smaller: −7/8 or 2/9? (a) 2/9 (b) −7/8
  24. 24.Which is smaller: −1/8 or −5/7? (a) −5/7 (b) −1/8
  25. 25.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/3) − (−1/5)? (a) −2/15 (b) 0 (c) −8/15 (d) 2/15
  27. 27.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.Is 3/(−5) positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −4/5 or −7/8? (a) −7/8 (b) −4/5
  30. 30.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) −3/5 (c) −5/3 (d) 3/5
  31. 31.Is −2/(−9) positive or negative? (a) Negative (b) Positive
  32. 32.What is (−5/6) + 3/4? (a) −1/5 (b) −19/12 (c) −1/12 (d) 1/12
  33. 33.Which is bigger: −4/9 or −2/5? (a) −4/9 (b) −2/5
  34. 34.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −8/7 (d) −21/24
  35. 35.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  36. 36.What is (−2/9) + (−1/2)? (a) 5/18 (b) −3/11 (c) 13/18 (d) −13/18
  37. 37.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  38. 38.What is (−3/4) + (−2/9)? (a) 35/36 (b) −35/36 (c) −5/13 (d) −19/36
  39. 39.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −4/5 or −6/7? (a) −4/5 (b) −6/7

Answer key

  1. −4/9
  2. −3/5
  3. 5/8
  4. Negative
  5. −2/5
  6. −13/45
  7. −5/9
  8. −2/9
  9. −1/8
  10. −1/5
  11. −2/3
  12. −5/3
  13. −5/6
  14. −5/4
  15. −1/6
  16. 19/63
  17. −1/8
  18. −4/9
  19. −67/45
  20. 3/4
  21. −9/10
  22. −1/6
  23. −7/8
  24. −5/7
  25. Negative
  26. −2/15
  27. Negative
  28. Negative
  29. −4/5
  30. −3/5
  31. Positive
  32. −1/12
  33. −2/5
  34. −7/8
  35. 6/7
  36. −13/18
  37. 7/5
  38. −35/36
  39. Negative
  40. −4/5

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