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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 974 · 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.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −18/24 (d) 3/4
  2. 2.Which is smaller: −7/8 or 1/5? (a) 1/5 (b) −7/8
  3. 3.What is (−7/9) + 4/9? (a) 1/3 (b) −1/3 (c) −11/9 (d) −1/6
  4. 4.Is 9/2 positive or negative? (a) Negative (b) Positive
  5. 5.What is 3/7 − (−5/7)? (a) 4/7 (b) −2/7 (c) 8/7 (d) −8/7
  6. 6.What is (−5/8) + (−7/9)? (a) 11/72 (b) −12/17 (c) −101/72 (d) 101/72
  7. 7.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  8. 8.Write −10/14 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −10/14 (c) −7/5 (d) 5/7
  9. 9.What is 3/5 + (−1/9)? (a) 32/45 (b) −22/45 (c) 1/7 (d) 22/45
  10. 10.Which is bigger: −3/8 or 1/3? (a) 1/3 (b) −3/8
  11. 11.Which is bigger: −1/2 or −1/8? (a) −1/2 (b) −1/8
  12. 12.Write −15/27 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −9/5 (d) −15/27
  13. 13.What is (−2/5) + 1/8? (a) −11/40 (b) −21/40 (c) −1/13 (d) 11/40
  14. 14.What is (−1/9) + 2/7? (a) −11/63 (b) 1/16 (c) 11/63 (d) −25/63
  15. 15.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  16. 16.What is (−8/9) + (−3/5)? (a) −67/45 (b) −11/14 (c) 67/45 (d) −13/45
  17. 17.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −2/14 (d) 1/7
  18. 18.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) 4 (c) −4 (d) −1/4
  19. 19.Which is bigger: −4/7 or 5/9? (a) 5/9 (b) −4/7
  20. 20.What is (−3/5) − 3/4? (a) 27/20 (b) 3/20 (c) −2/3 (d) −27/20
  21. 21.What is (−3/8) + (−1/4)? (a) −1/3 (b) −5/8 (c) −1/8 (d) 5/8
  22. 22.Which is bigger: −1/9 or −3/8? (a) −3/8 (b) −1/9
  23. 23.Is 8/2 positive or negative? (a) Negative (b) Positive
  24. 24.Is 9/6 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −6/7 or 2/9? (a) −6/7 (b) 2/9
  26. 26.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −30/35 (d) −6/7
  27. 27.Which is bigger: −3/7 or −1/5? (a) −3/7 (b) −1/5
  28. 28.Which is bigger: −2/5 or 1/6? (a) −2/5 (b) 1/6
  29. 29.Is −7/2 positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −2/3 or −4/5? (a) −4/5 (b) −2/3
  31. 31.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  32. 32.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) −2/3 (d) 2/3
  33. 33.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −8/28 (c) 2/7 (d) −7/2
  34. 34.What is the additive inverse of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  35. 35.What is (−7/9) + (−2/7)? (a) −9/16 (b) −67/63 (c) 67/63 (d) −31/63
  36. 36.Which is bigger: −2/5 or −2/9? (a) −2/5 (b) −2/9
  37. 37.What is (−5/8) + 4/5? (a) −57/40 (b) 7/40 (c) −1/13 (d) −7/40
  38. 38.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−3/8) − 2/9? (a) −43/72 (b) −11/72 (c) 43/72 (d) −5/17
  40. 40.Which is smaller: −2/7 or 3/4? (a) 3/4 (b) −2/7

Answer key

  1. −3/4
  2. −7/8
  3. −1/3
  4. Positive
  5. 8/7
  6. −101/72
  7. Positive
  8. −5/7
  9. 22/45
  10. 1/3
  11. −1/8
  12. −5/9
  13. −11/40
  14. 11/63
  15. Positive
  16. −67/45
  17. −1/7
  18. −4
  19. 5/9
  20. −27/20
  21. −5/8
  22. −1/9
  23. Positive
  24. Positive
  25. 2/9
  26. −6/7
  27. −1/5
  28. 1/6
  29. Negative
  30. −4/5
  31. −8/3
  32. −2/3
  33. −2/7
  34. −1/9
  35. −67/63
  36. −2/9
  37. 7/40
  38. Positive
  39. −43/72
  40. −2/7

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