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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 66 · 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.Is 7/5 positive or negative? (a) Positive (b) Negative
  2. 2.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −30/54 (d) −5/9
  3. 3.What is (−6/7) + 3/8? (a) −27/56 (b) 27/56 (c) −1/5 (d) −69/56
  4. 4.What is (−5/9) + (−5/9)? (a) −10/9 (b) 10/9 (c) 0 (d) −5/9
  5. 5.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −3/9
  6. 6.What is (−3/5) − (−4/9)? (a) 7/45 (b) −47/45 (c) 1/14 (d) −7/45
  7. 7.Which is bigger: −1/8 or 2/7? (a) −1/8 (b) 2/7
  8. 8.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  9. 9.What is (−1/4) − (−1/7)? (a) −3/28 (b) −11/28 (c) 3/28 (d) 0
  10. 10.Which is smaller: −5/6 or −7/8? (a) −7/8 (b) −5/6
  11. 11.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−8/9) − 8/9? (a) 0 (b) −16/9 (c) 16/9 (d) −8/9
  13. 13.What is 1/9 − (−1/6)? (a) 2/15 (b) −5/18 (c) −1/18 (d) 5/18
  14. 14.What is (−4/7) + (−2/9)? (a) 50/63 (b) −22/63 (c) −50/63 (d) −3/8
  15. 15.What is 4/5 − (−1/6)? (a) 29/30 (b) 19/30 (c) 5/11 (d) −29/30
  16. 16.What is the additive inverse of −1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  17. 17.What is 5/9 + (−4/7)? (a) 1/16 (b) 1/63 (c) −1/63 (d) 71/63
  18. 18.Which is bigger: −2/5 or −3/8? (a) −3/8 (b) −2/5
  19. 19.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  20. 20.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −6/16 (d) −8/3
  21. 21.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) 7/6 (c) −7/6 (d) −6/7
  22. 22.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 5/7 (c) −7/5 (d) 7/5
  23. 23.Is −8/5 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/8) − 3/8? (a) 1/2 (b) 1/4 (c) −1/2 (d) −1/4
  25. 25.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  26. 26.What is (−8/9) − 3/4? (a) 59/36 (b) −11/13 (c) −5/36 (d) −59/36
  27. 27.Which is bigger: −2/9 or −1/4? (a) −1/4 (b) −2/9
  28. 28.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  29. 29.Is −1/9 positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −5/7 or −1/6? (a) −1/6 (b) −5/7
  31. 31.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −2/3 (c) 2/3 (d) −3/2
  32. 32.What is (−5/8) − (−1/4)? (a) −7/8 (b) −3/8 (c) 3/8 (d) −1/3
  33. 33.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −7/4 (d) −20/35
  34. 34.Which is bigger: −3/8 or −7/8? (a) −7/8 (b) −3/8
  35. 35.Which is bigger: −3/7 or −3/5? (a) −3/7 (b) −3/5
  36. 36.Which is smaller: −3/7 or −2/7? (a) −3/7 (b) −2/7
  37. 37.What is (−2/5) + 4/7? (a) 1/6 (b) 6/35 (c) −34/35 (d) −6/35
  38. 38.What is (−1/3) + 5/7? (a) 2/5 (b) −8/21 (c) −22/21 (d) 8/21
  39. 39.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  40. 40.Which is smaller: −1/8 or 1/7? (a) −1/8 (b) 1/7

Answer key

  1. Positive
  2. −5/9
  3. −27/56
  4. −10/9
  5. −1/3
  6. −7/45
  7. 2/7
  8. −3/5
  9. −3/28
  10. −7/8
  11. Positive
  12. −16/9
  13. 5/18
  14. −50/63
  15. 29/30
  16. 1/8
  17. −1/63
  18. −3/8
  19. −7/2
  20. −3/8
  21. 7/6
  22. 7/5
  23. Negative
  24. −1/2
  25. 2/3
  26. −59/36
  27. −2/9
  28. −5/4
  29. Negative
  30. −1/6
  31. −2/3
  32. −3/8
  33. −4/7
  34. −3/8
  35. −3/7
  36. −3/7
  37. 6/35
  38. 8/21
  39. Negative
  40. −1/8

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