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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 115 · 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 the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  2. 2.Write −30/35 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −30/35
  3. 3.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −5/15 (b) −1/3 (c) 1/3 (d) −3/1
  4. 4.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −4/36 (d) −1/9
  5. 5.Is −3/6 positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −5/8 or 1/7? (a) 1/7 (b) −5/8
  7. 7.What is (−5/7) + 1/7? (a) −4/7 (b) −6/7 (c) −2/7 (d) 4/7
  8. 8.Which is smaller: −3/5 or −4/9? (a) −4/9 (b) −3/5
  9. 9.Which is smaller: −4/7 or −1/3? (a) −1/3 (b) −4/7
  10. 10.What is (−7/9) − 5/6? (a) −4/5 (b) 29/18 (c) −29/18 (d) 1/18
  11. 11.What is 5/9 − (−3/5)? (a) −2/45 (b) −52/45 (c) 4/7 (d) 52/45
  12. 12.Which is bigger: −4/5 or −2/7? (a) −2/7 (b) −4/5
  13. 13.What is (−2/3) + (−1/2)? (a) −3/5 (b) −7/6 (c) −1/6 (d) 7/6
  14. 14.Which is smaller: −2/7 or 3/5? (a) −2/7 (b) 3/5
  15. 15.What is (−3/5) + (−5/7)? (a) 4/35 (b) 46/35 (c) −2/3 (d) −46/35
  16. 16.What is (−3/8) − 7/8? (a) 1/2 (b) 5/4 (c) −5/8 (d) −5/4
  17. 17.Which is smaller: −7/9 or 2/9? (a) −7/9 (b) 2/9
  18. 18.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  19. 19.Which is smaller: −5/9 or 3/4? (a) 3/4 (b) −5/9
  20. 20.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) −5/9 (d) 5/9
  21. 21.Which is bigger: −4/7 or 2/3? (a) 2/3 (b) −4/7
  22. 22.What is 1/4 − (−6/7)? (a) 7/11 (b) −17/28 (c) 31/28 (d) −31/28
  23. 23.What is (−1/3) + (−7/9)? (a) −2/3 (b) 4/9 (c) −10/9 (d) 10/9
  24. 24.What is 1/7 + (−5/7)? (a) 4/7 (b) 6/7 (c) −2/7 (d) −4/7
  25. 25.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −25/40 (b) 5/8 (c) −5/8 (d) −8/5
  26. 26.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −6/8 (c) 3/4 (d) −3/4
  27. 27.What is 1/7 + (−5/6)? (a) −29/42 (b) −4/13 (c) 29/42 (d) 41/42
  28. 28.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −3/7 (d) −7/3
  29. 29.What is (−4/9) − 7/8? (a) 31/72 (b) −95/72 (c) 95/72 (d) −11/17
  30. 30.What is the additive inverse of 1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  31. 31.Write −3/27 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −1/9 (d) −9/1
  32. 32.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 3/8 (c) −8/3 (d) 8/3
  33. 33.Is 3/4 positive or negative? (a) Positive (b) Negative
  34. 34.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) −7/2 (c) 2/7 (d) −2/7
  35. 35.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  36. 36.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) 1/7 (c) −1/7 (d) −7
  37. 37.What is the additive inverse of 1/7? (a) −7 (b) 7 (c) −1/7 (d) 1/7
  38. 38.What is (−3/4) + 5/6? (a) −19/12 (b) 1/5 (c) 1/12 (d) −1/12
  39. 39.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −8/9 (c) −9/8 (d) 8/9
  40. 40.Is 7/(−3) positive or negative? (a) Negative (b) Positive

Answer key

  1. 8/7
  2. −6/7
  3. −1/3
  4. −1/9
  5. Negative
  6. −5/8
  7. −4/7
  8. −3/5
  9. −4/7
  10. −29/18
  11. 52/45
  12. −2/7
  13. −7/6
  14. −2/7
  15. −46/35
  16. −5/4
  17. −7/9
  18. Positive
  19. −5/9
  20. −5/9
  21. 2/3
  22. 31/28
  23. −10/9
  24. −4/7
  25. −5/8
  26. −3/4
  27. −29/42
  28. −3/7
  29. −95/72
  30. −1/8
  31. −1/9
  32. 8/3
  33. Positive
  34. 7/2
  35. −7/6
  36. −7
  37. −1/7
  38. 1/12
  39. −8/9
  40. Negative

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