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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 256 · 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 (−5/6) − (−2/5)? (a) −37/30 (b) −3/11 (c) −13/30 (d) 13/30
  2. 2.Which is bigger: −2/7 or −4/5? (a) −2/7 (b) −4/5
  3. 3.What is (−8/9) − (−2/5)? (a) 22/45 (b) −3/7 (c) −22/45 (d) −58/45
  4. 4.Which is smaller: −1/7 or −1/3? (a) −1/3 (b) −1/7
  5. 5.What is (−5/8) + 3/4? (a) −1/8 (b) 1/8 (c) −1/6 (d) −11/8
  6. 6.Which is smaller: −2/3 or −1/6? (a) −1/6 (b) −2/3
  7. 7.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  8. 8.Which is smaller: −7/9 or −3/5? (a) −7/9 (b) −3/5
  9. 9.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −24/42 (d) −4/7
  10. 10.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  11. 11.Is −6/(−5) positive or negative? (a) Positive (b) Negative
  12. 12.Is −9/5 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−1/3) − (−7/9)? (a) −4/9 (b) 4/9 (c) 1/2 (d) −10/9
  14. 14.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  15. 15.Which is bigger: −5/7 or 4/9? (a) −5/7 (b) 4/9
  16. 16.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −42/54 (d) 7/9
  17. 17.Which is smaller: −2/3 or 1/2? (a) 1/2 (b) −2/3
  18. 18.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) −1/4 (d) 1/4
  19. 19.What is 2/9 + (−1/5)? (a) 1/14 (b) −1/45 (c) 19/45 (d) 1/45
  20. 20.What is (−1/2) + 2/9? (a) −13/18 (b) 5/18 (c) 1/11 (d) −5/18
  21. 21.Which is bigger: −6/7 or −1/3? (a) −6/7 (b) −1/3
  22. 22.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  23. 23.What is (−1/7) + (−1/5)? (a) 12/35 (b) −12/35 (c) 2/35 (d) −1/6
  24. 24.What is the additive inverse of −1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  25. 25.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −12/16 (c) 3/4 (d) −4/3
  26. 26.Which is smaller: −4/5 or −2/5? (a) −4/5 (b) −2/5
  27. 27.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) −7/5 (c) 5/7 (d) −5/7
  28. 28.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) 7/6 (d) −7/6
  29. 29.What is (−5/8) + 5/6? (a) −5/24 (b) 0 (c) 5/24 (d) −35/24
  30. 30.What is (−5/9) + (−2/5)? (a) −43/45 (b) 43/45 (c) −7/45 (d) −1/2
  31. 31.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  32. 32.Which is smaller: −1/3 or −3/7? (a) −3/7 (b) −1/3
  33. 33.Is 4/3 positive or negative? (a) Negative (b) Positive
  34. 34.What is 5/8 + (−7/8)? (a) −1/4 (b) −1/8 (c) 3/2 (d) 1/4
  35. 35.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  36. 36.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  37. 37.What is the additive inverse of −1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  38. 38.Is −6/(−9) positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −7/9 or 1/4? (a) 1/4 (b) −7/9
  40. 40.Is 8/7 positive or negative? (a) Positive (b) Negative

Answer key

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

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