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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 32 · 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 (−2/5) + (−4/5)? (a) 2/5 (b) −3/5 (c) 6/5 (d) −6/5
  2. 2.What is 1/5 + (−6/7)? (a) −5/12 (b) 37/35 (c) 23/35 (d) −23/35
  3. 3.What is 5/9 − (−1/8)? (a) 31/72 (b) 49/72 (c) 6/17 (d) −49/72
  4. 4.What is (−5/9) − 3/5? (a) −4/7 (b) 2/45 (c) −52/45 (d) 52/45
  5. 5.Write −15/40 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −15/40 (c) −8/3 (d) −3/8
  6. 6.What is 5/8 − (−2/9)? (a) 7/17 (b) 61/72 (c) 29/72 (d) −61/72
  7. 7.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −24/30 (d) −5/4
  8. 8.What is the additive inverse of 1/9? (a) 9 (b) −9 (c) −1/9 (d) 1/9
  9. 9.Which is bigger: −1/8 or 1/3? (a) −1/8 (b) 1/3
  10. 10.Which is smaller: −4/7 or 7/9? (a) 7/9 (b) −4/7
  11. 11.What is 5/6 + (−3/4)? (a) 19/12 (b) 1/5 (c) 1/12 (d) −1/12
  12. 12.Write −9/21 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) 3/7 (d) −7/3
  13. 13.Write −12/16 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −12/16 (c) −3/4 (d) 3/4
  14. 14.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  15. 15.What is 2/9 + (−7/8)? (a) 47/72 (b) −47/72 (c) −5/17 (d) 79/72
  16. 16.Write −25/40 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −25/40 (d) 5/8
  17. 17.Which is bigger: −1/8 or −3/4? (a) −1/8 (b) −3/4
  18. 18.Is −6/8 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/8) − 4/5? (a) 37/40 (b) 27/40 (c) −37/40 (d) −5/13
  20. 20.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  21. 21.Which is bigger: −3/4 or 2/7? (a) 2/7 (b) −3/4
  22. 22.What is 5/7 + (−3/5)? (a) 1/6 (b) 46/35 (c) −4/35 (d) 4/35
  23. 23.Is 3/3 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −2/7 or −1/4? (a) −2/7 (b) −1/4
  25. 25.Is 3/5 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −2/5 or 1/5? (a) −2/5 (b) 1/5
  27. 27.Which is bigger: −3/8 or −4/9? (a) −4/9 (b) −3/8
  28. 28.Which is bigger: −2/3 or −5/7? (a) −2/3 (b) −5/7
  29. 29.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) −4/7 (c) −7/4 (d) 7/4
  30. 30.Write −30/54 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −30/54 (d) −9/5
  31. 31.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  32. 32.Is −8/8 positive or negative? (a) Positive (b) Negative
  33. 33.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) −4/3 (c) −3/4 (d) 3/4
  34. 34.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.Is 7/6 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−2/5) + (−2/3)? (a) 4/15 (b) −16/15 (c) 16/15 (d) −1/2
  37. 37.What is the additive inverse of 3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  38. 38.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −15/35 (b) −3/7 (c) 3/7 (d) −7/3
  39. 39.Write −6/48 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −6/48 (c) −8/1 (d) −1/8
  40. 40.Is 1/(−8) positive or negative? (a) Negative (b) Positive

Answer key

  1. −6/5
  2. −23/35
  3. 49/72
  4. −52/45
  5. −3/8
  6. 61/72
  7. −4/5
  8. −1/9
  9. 1/3
  10. −4/7
  11. 1/12
  12. −3/7
  13. −3/4
  14. −7/3
  15. −47/72
  16. −5/8
  17. −1/8
  18. Negative
  19. −37/40
  20. Positive
  21. 2/7
  22. 4/35
  23. Positive
  24. −1/4
  25. Positive
  26. −2/5
  27. −3/8
  28. −2/3
  29. −7/4
  30. −5/9
  31. −5/9
  32. Negative
  33. −3/4
  34. Positive
  35. Positive
  36. −16/15
  37. −3/5
  38. −3/7
  39. −1/8
  40. Negative

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