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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 444 · 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 (−5/7) − (−3/5)? (a) −46/35 (b) 4/35 (c) −4/35 (d) −1/6
  2. 2.Which is bigger: −6/7 or −1/5? (a) −1/5 (b) −6/7
  3. 3.What is (−3/4) + 4/9? (a) −43/36 (b) 11/36 (c) 1/13 (d) −11/36
  4. 4.What is (−2/7) + 1/6? (a) −1/13 (b) 5/42 (c) −5/42 (d) −19/42
  5. 5.What is (−2/5) − 4/5? (a) −6/5 (b) −3/5 (c) 2/5 (d) 6/5
  6. 6.What is 5/6 − (−4/5)? (a) 9/11 (b) −49/30 (c) 1/30 (d) 49/30
  7. 7.What is (−1/9) + 5/7? (a) −38/63 (b) 38/63 (c) −52/63 (d) 1/4
  8. 8.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −5/7 (d) −7/5
  9. 9.Which is smaller: −1/2 or 8/9? (a) 8/9 (b) −1/2
  10. 10.Is 8/9 positive or negative? (a) Positive (b) Negative
  11. 11.What is the additive inverse of 3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  12. 12.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −3/21 (d) −1/7
  13. 13.Which is smaller: −3/5 or −7/8? (a) −3/5 (b) −7/8
  14. 14.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  15. 15.What is (−3/4) − 1/3? (a) 13/12 (b) −13/12 (c) −4/7 (d) −5/12
  16. 16.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  17. 17.Which is bigger: −2/3 or 1/4? (a) 1/4 (b) −2/3
  18. 18.What is (−2/7) + (−5/9)? (a) 17/63 (b) −53/63 (c) −7/16 (d) 53/63
  19. 19.What is (−5/7) − (−8/9)? (a) −11/63 (b) 3/16 (c) −101/63 (d) 11/63
  20. 20.What is (−5/6) + (−2/3)? (a) −1/6 (b) 3/2 (c) −3/2 (d) −7/9
  21. 21.What is (−3/5) + 2/9? (a) −1/14 (b) 17/45 (c) −37/45 (d) −17/45
  22. 22.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  23. 23.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −30/54 (c) −5/9 (d) 5/9
  24. 24.Which is bigger: −7/9 or 1/5? (a) 1/5 (b) −7/9
  25. 25.What is (−4/5) − 1/8? (a) 37/40 (b) −37/40 (c) −27/40 (d) −5/13
  26. 26.What is the additive inverse of 4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  27. 27.Which is smaller: −2/7 or −7/9? (a) −2/7 (b) −7/9
  28. 28.What is (−1/6) + (−7/9)? (a) −17/18 (b) −8/15 (c) 11/18 (d) 17/18
  29. 29.Which is smaller: −1/3 or 4/7? (a) 4/7 (b) −1/3
  30. 30.What is 5/9 + (−6/7)? (a) 89/63 (b) 19/63 (c) −19/63 (d) −1/16
  31. 31.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −24/42 (b) 4/7 (c) −4/7 (d) −7/4
  32. 32.Which is smaller: −4/9 or 2/5? (a) −4/9 (b) 2/5
  33. 33.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  34. 34.What is (−2/5) + (−1/9)? (a) 23/45 (b) −23/45 (c) −3/14 (d) −13/45
  35. 35.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  36. 36.Which is smaller: −1/5 or −8/9? (a) −8/9 (b) −1/5
  37. 37.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  38. 38.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  39. 39.What is 8/9 + (−3/8)? (a) 5/17 (b) −37/72 (c) 37/72 (d) 91/72
  40. 40.Is 6/9 positive or negative? (a) Negative (b) Positive

Answer key

  1. −4/35
  2. −1/5
  3. −11/36
  4. −5/42
  5. −6/5
  6. 49/30
  7. 38/63
  8. −5/7
  9. −1/2
  10. Positive
  11. −3/7
  12. −1/7
  13. −7/8
  14. −8/7
  15. −13/12
  16. Negative
  17. 1/4
  18. −53/63
  19. 11/63
  20. −3/2
  21. −17/45
  22. Negative
  23. −5/9
  24. 1/5
  25. −37/40
  26. −4/5
  27. −7/9
  28. −17/18
  29. −1/3
  30. −19/63
  31. −4/7
  32. −4/9
  33. −1/3
  34. −23/45
  35. Negative
  36. −8/9
  37. Negative
  38. Negative
  39. 37/72
  40. Positive

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