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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 896 · 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: −1/8 or −8/9? (a) −1/8 (b) −8/9
  2. 2.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  3. 3.What is (−5/6) + 4/5? (a) 1/30 (b) −1/30 (c) −1/11 (d) −49/30
  4. 4.What is 1/7 − (−1/8)? (a) −15/56 (b) 1/56 (c) 2/15 (d) 15/56
  5. 5.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −6/16 (c) −8/3 (d) −3/8
  6. 6.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  7. 7.What is (−1/4) + (−1/9)? (a) −5/36 (b) −13/36 (c) −2/13 (d) 13/36
  8. 8.What is 1/8 + (−3/4)? (a) −1/6 (b) −5/8 (c) 5/8 (d) 7/8
  9. 9.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  10. 10.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  11. 11.Which is smaller: −1/8 or 1/3? (a) −1/8 (b) 1/3
  12. 12.Which is smaller: −1/5 or 1/3? (a) −1/5 (b) 1/3
  13. 13.What is the additive inverse of 2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2
  14. 14.Write −42/48 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −42/48 (d) −7/8
  15. 15.Which is bigger: −2/9 or −1/5? (a) −2/9 (b) −1/5
  16. 16.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  17. 17.What is (−2/5) + (−7/8)? (a) −51/40 (b) 51/40 (c) −9/13 (d) 19/40
  18. 18.What is (−5/8) + (−1/7)? (a) 43/56 (b) −43/56 (c) −2/5 (d) −27/56
  19. 19.Which is smaller: −4/5 or −1/2? (a) −4/5 (b) −1/2
  20. 20.Write −24/54 in standard form (lowest terms, positive denominator). (a) −24/54 (b) 4/9 (c) −4/9 (d) −9/4
  21. 21.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −2/5 (c) −5/2 (d) 2/5
  22. 22.Which is bigger: −1/6 or −8/9? (a) −8/9 (b) −1/6
  23. 23.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.What is 2/9 − (−2/9)? (a) 4/9 (b) 0 (c) 2/9 (d) −4/9
  25. 25.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −2/16 (d) −8/1
  26. 26.Which is bigger: −1/5 or −5/6? (a) −1/5 (b) −5/6
  27. 27.What is (−2/7) + 3/5? (a) 11/35 (b) 1/12 (c) −31/35 (d) −11/35
  28. 28.What is 2/3 − (−2/9)? (a) −8/9 (b) 1/3 (c) 4/9 (d) 8/9
  29. 29.Which is bigger: −1/6 or 2/9? (a) 2/9 (b) −1/6
  30. 30.What is (−4/5) − 7/8? (a) 3/40 (b) −67/40 (c) −11/13 (d) 67/40
  31. 31.What is 7/9 − (−2/3)? (a) 1/9 (b) −13/9 (c) 3/4 (d) 13/9
  32. 32.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  33. 33.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  34. 34.Which is smaller: −4/9 or 6/7? (a) −4/9 (b) 6/7
  35. 35.What is (−7/8) + 3/8? (a) 1/2 (b) −1/4 (c) −1/2 (d) −5/4
  36. 36.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  37. 37.What is 1/9 + (−3/5)? (a) 22/45 (b) −22/45 (c) −1/7 (d) 32/45
  38. 38.Is −8/2 positive or negative? (a) Negative (b) Positive
  39. 39.Write −6/48 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) −6/48 (d) 1/8
  40. 40.Is −9/(−7) positive or negative? (a) Positive (b) Negative

Answer key

  1. −8/9
  2. 8/7
  3. −1/30
  4. 15/56
  5. −3/8
  6. 1/3
  7. −13/36
  8. −5/8
  9. Negative
  10. Negative
  11. −1/8
  12. −1/5
  13. −2/5
  14. −7/8
  15. −1/5
  16. −8/5
  17. −51/40
  18. −43/56
  19. −4/5
  20. −4/9
  21. −2/5
  22. −1/6
  23. Negative
  24. 4/9
  25. −1/8
  26. −1/5
  27. 11/35
  28. 8/9
  29. 2/9
  30. −67/40
  31. 13/9
  32. −8/7
  33. −9
  34. −4/9
  35. −1/2
  36. 9/2
  37. −22/45
  38. Negative
  39. −1/8
  40. Positive

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