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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 723 · 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 smaller: −1/2 or 1/8? (a) 1/8 (b) −1/2
  2. 2.What is 4/9 + (−1/3)? (a) 1/4 (b) 1/9 (c) 7/9 (d) −1/9
  3. 3.Write −20/24 in standard form (lowest terms, positive denominator). (a) −20/24 (b) 5/6 (c) −6/5 (d) −5/6
  4. 4.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  5. 5.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  6. 6.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −30/54 (b) −5/9 (c) 5/9 (d) −9/5
  7. 7.Which is bigger: −5/7 or 1/6? (a) −5/7 (b) 1/6
  8. 8.What is (−7/8) + (−2/3)? (a) 37/24 (b) −37/24 (c) −9/11 (d) −5/24
  9. 9.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  10. 10.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −2/12 (d) −1/6
  11. 11.Which is smaller: −6/7 or −1/9? (a) −6/7 (b) −1/9
  12. 12.What is (−8/9) − 7/8? (a) 127/72 (b) −1/72 (c) −15/17 (d) −127/72
  13. 13.What is 1/2 + (−1/9)? (a) 7/18 (b) 11/18 (c) 0 (d) −7/18
  14. 14.What is 1/3 − (−5/8)? (a) −23/24 (b) −7/24 (c) 6/11 (d) 23/24
  15. 15.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  16. 16.Write −15/21 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −15/21 (d) 5/7
  17. 17.Write −18/21 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −18/21 (d) 6/7
  18. 18.What is (−7/8) + 3/8? (a) −1/2 (b) −1/4 (c) −5/4 (d) 1/2
  19. 19.What is (−1/2) − 4/5? (a) −5/7 (b) −13/10 (c) 3/10 (d) 13/10
  20. 20.What is 6/7 − (−2/3)? (a) 4/5 (b) 32/21 (c) 4/21 (d) −32/21
  21. 21.What is the additive inverse of 2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  22. 22.What is (−6/7) + (−3/7)? (a) −9/7 (b) 9/7 (c) −9/14 (d) −3/7
  23. 23.What is (−3/4) − (−2/9)? (a) −1/13 (b) −35/36 (c) −19/36 (d) 19/36
  24. 24.What is (−1/6) − (−5/9)? (a) −13/18 (b) −7/18 (c) 4/15 (d) 7/18
  25. 25.What is the additive inverse of 5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  26. 26.What is (−5/8) + (−2/5)? (a) 41/40 (b) −9/40 (c) −41/40 (d) −7/13
  27. 27.Which is bigger: −1/3 or −2/9? (a) −1/3 (b) −2/9
  28. 28.What is (−5/7) − (−1/9)? (a) 38/63 (b) −1/4 (c) −52/63 (d) −38/63
  29. 29.Is −9/7 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−2/3) − 2/3? (a) −2/3 (b) 4/3 (c) 0 (d) −4/3
  31. 31.What is (−3/5) − 6/7? (a) −3/4 (b) 51/35 (c) −51/35 (d) 9/35
  32. 32.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) −5/7 (c) 5/7 (d) −7/5
  33. 33.Which is bigger: −4/5 or −3/7? (a) −3/7 (b) −4/5
  34. 34.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  35. 35.Which is smaller: −1/7 or −4/9? (a) −1/7 (b) −4/9
  36. 36.What is (−1/4) − 5/9? (a) 29/36 (b) −29/36 (c) −6/13 (d) 11/36
  37. 37.What is (−1/4) + 1/5? (a) 0 (b) −1/20 (c) 1/20 (d) −9/20
  38. 38.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  39. 39.Is 4/(−2) positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −1/3 or 6/7? (a) 6/7 (b) −1/3

Answer key

  1. −1/2
  2. 1/9
  3. −5/6
  4. −1/3
  5. 9/8
  6. −5/9
  7. 1/6
  8. −37/24
  9. 7/3
  10. −1/6
  11. −6/7
  12. −127/72
  13. 7/18
  14. 23/24
  15. Negative
  16. −5/7
  17. −6/7
  18. −1/2
  19. −13/10
  20. 32/21
  21. −2/7
  22. −9/7
  23. −19/36
  24. 7/18
  25. −5/7
  26. −41/40
  27. −2/9
  28. −38/63
  29. Negative
  30. −4/3
  31. −51/35
  32. −5/7
  33. −3/7
  34. 7
  35. −4/9
  36. −29/36
  37. −1/20
  38. −2/5
  39. Negative
  40. 6/7

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