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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 31 · 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 −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) −3/5 (d) 3/5
  2. 2.What is (−5/9) + 7/8? (a) −103/72 (b) 2/17 (c) −23/72 (d) 23/72
  3. 3.What is 1/4 + (−3/7)? (a) 5/28 (b) −5/28 (c) 19/28 (d) −2/11
  4. 4.Which is bigger: −5/9 or 5/6? (a) 5/6 (b) −5/9
  5. 5.What is the additive inverse of −4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  6. 6.Is −4/(−9) positive or negative? (a) Positive (b) Negative
  7. 7.What is 1/9 − (−1/5)? (a) −4/45 (b) 14/45 (c) −14/45 (d) 1/7
  8. 8.Is 8/8 positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −1/3 or 8/9? (a) −1/3 (b) 8/9
  10. 10.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  11. 11.What is (−2/9) + 1/6? (a) 1/18 (b) −1/15 (c) −7/18 (d) −1/18
  12. 12.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  13. 13.Is 7/6 positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  15. 15.What is 1/7 + (−4/9)? (a) −3/16 (b) 19/63 (c) −19/63 (d) 37/63
  16. 16.What is (−5/7) − 6/7? (a) 1/7 (b) −11/14 (c) 11/7 (d) −11/7
  17. 17.What is (−1/5) − 3/8? (a) −23/40 (b) −4/13 (c) 7/40 (d) 23/40
  18. 18.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −18/30 (c) −5/3 (d) 3/5
  19. 19.What is 8/9 + (−1/2)? (a) −7/18 (b) 25/18 (c) 7/11 (d) 7/18
  20. 20.What is (−5/7) + 2/3? (a) 1/21 (b) −3/10 (c) −1/21 (d) −29/21
  21. 21.Which is smaller: −4/9 or −3/5? (a) −4/9 (b) −3/5
  22. 22.Write −21/27 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −21/27 (c) 7/9 (d) −7/9
  23. 23.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  24. 24.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.Which is smaller: −5/6 or −4/9? (a) −4/9 (b) −5/6
  26. 26.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −10/35 (c) −2/7 (d) 2/7
  27. 27.What is the reciprocal (multiplicative inverse) of −5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  28. 28.Which is smaller: −1/4 or −2/5? (a) −2/5 (b) −1/4
  29. 29.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) −4/3 (c) −3/4 (d) 3/4
  30. 30.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−1/3) − (−1/4)? (a) −1/12 (b) 1/12 (c) −7/12 (d) 0
  32. 32.What is the additive inverse of 1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2
  33. 33.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  34. 34.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −3/21 (c) 1/7 (d) −1/7
  35. 35.Write −2/6 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) −2/6 (d) 1/3
  36. 36.What is 5/9 − (−1/3)? (a) 2/9 (b) −8/9 (c) 1/2 (d) 8/9
  37. 37.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −8/9 or 7/8? (a) −8/9 (b) 7/8
  39. 39.Write −25/30 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −25/30 (c) −5/6 (d) 5/6
  40. 40.Which is bigger: −5/8 or −1/8? (a) −1/8 (b) −5/8

Answer key

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

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