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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 688 · 40 sums
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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.Is 1/3 positive or negative? (a) Positive (b) Negative
  2. 2.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  3. 3.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) 4/9 (c) −9/4 (d) −4/9
  4. 4.Which is smaller: −5/7 or 1/2? (a) −5/7 (b) 1/2
  5. 5.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −2/16 (c) −8/1 (d) −1/8
  6. 6.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −12/28 (d) −3/7
  7. 7.What is (−5/8) − 1/4? (a) −1/2 (b) 7/8 (c) −7/8 (d) −3/8
  8. 8.Which is bigger: −4/5 or 4/7? (a) 4/7 (b) −4/5
  9. 9.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −5/45
  10. 10.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  11. 11.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  12. 12.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  13. 13.Which is bigger: −1/2 or 5/9? (a) −1/2 (b) 5/9
  14. 14.What is (−5/9) + 6/7? (a) −89/63 (b) 1/16 (c) 19/63 (d) −19/63
  15. 15.What is (−3/8) + 2/7? (a) 5/56 (b) −1/15 (c) −5/56 (d) −37/56
  16. 16.Write −16/28 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −16/28 (d) −4/7
  17. 17.Which is smaller: −1/4 or −7/9? (a) −1/4 (b) −7/9
  18. 18.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −2/14 (b) −1/7 (c) 1/7 (d) −7/1
  19. 19.What is (−2/9) + (−2/7)? (a) 32/63 (b) 4/63 (c) −1/4 (d) −32/63
  20. 20.Is 7/(−4) positive or negative? (a) Negative (b) Positive
  21. 21.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −30/36 (d) −5/6
  22. 22.Which is bigger: −3/4 or −8/9? (a) −3/4 (b) −8/9
  23. 23.Which is bigger: −6/7 or 5/7? (a) −6/7 (b) 5/7
  24. 24.Which is smaller: −5/9 or 4/5? (a) 4/5 (b) −5/9
  25. 25.What is 1/8 + (−7/8)? (a) 3/4 (b) 1 (c) −3/8 (d) −3/4
  26. 26.What is (−1/7) − 2/3? (a) −17/21 (b) −3/10 (c) 11/21 (d) 17/21
  27. 27.What is (−7/8) − (−4/9)? (a) −95/72 (b) −3/17 (c) 31/72 (d) −31/72
  28. 28.Which is smaller: −3/5 or 5/9? (a) 5/9 (b) −3/5
  29. 29.What is (−7/8) + 1/4? (a) 5/8 (b) −5/8 (c) −9/8 (d) −1/2
  30. 30.What is (−1/8) − 6/7? (a) −7/15 (b) −55/56 (c) 55/56 (d) 41/56
  31. 31.What is (−1/9) − 1/5? (a) 14/45 (b) −1/7 (c) −14/45 (d) 4/45
  32. 32.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  33. 33.What is (−4/9) + 7/8? (a) −95/72 (b) 3/17 (c) 31/72 (d) −31/72
  34. 34.Is 9/(−2) positive or negative? (a) Positive (b) Negative
  35. 35.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −9/12 (d) 3/4
  36. 36.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  37. 37.What is (−2/7) + 6/7? (a) 4/7 (b) −8/7 (c) 2/7 (d) −4/7
  38. 38.What is the additive inverse of 4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  39. 39.What is (−1/9) + 1/2? (a) −11/18 (b) −7/18 (c) 0 (d) 7/18
  40. 40.Which is smaller: −2/9 or 1/2? (a) 1/2 (b) −2/9

Answer key

  1. Positive
  2. Negative
  3. −4/9
  4. −5/7
  5. −1/8
  6. −3/7
  7. −7/8
  8. 4/7
  9. −1/9
  10. 7/2
  11. Negative
  12. Negative
  13. 5/9
  14. 19/63
  15. −5/56
  16. −4/7
  17. −7/9
  18. −1/7
  19. −32/63
  20. Negative
  21. −5/6
  22. −3/4
  23. 5/7
  24. −5/9
  25. −3/4
  26. −17/21
  27. −31/72
  28. −3/5
  29. −5/8
  30. −55/56
  31. −14/45
  32. Negative
  33. 31/72
  34. Negative
  35. −3/4
  36. −9/7
  37. 4/7
  38. −4/5
  39. 7/18
  40. −2/9

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