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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 705 · 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.What is (−4/9) − 5/6? (a) −3/5 (b) 23/18 (c) −23/18 (d) 7/18
  2. 2.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  3. 3.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) 3/5 (c) −3/5 (d) −5/3
  4. 4.Which is smaller: −5/7 or 2/7? (a) 2/7 (b) −5/7
  5. 5.What is the additive inverse of −1/9? (a) 9 (b) −1/9 (c) −9 (d) 1/9
  6. 6.Which is smaller: −2/7 or −3/5? (a) −3/5 (b) −2/7
  7. 7.Is 6/3 positive or negative? (a) Positive (b) Negative
  8. 8.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −4/24 (d) 1/6
  9. 9.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of −1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  11. 11.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  12. 12.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/9 (b) 1/3 (c) −3/1 (d) −1/3
  13. 13.What is the reciprocal (multiplicative inverse) of −6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  14. 14.What is (−4/9) − 3/7? (a) 55/63 (b) −1/63 (c) −7/16 (d) −55/63
  15. 15.What is (−2/3) + 3/4? (a) 1/7 (b) 1/12 (c) −1/12 (d) −17/12
  16. 16.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) 4/5 (c) −5/4 (d) −4/5
  18. 18.Which is bigger: −3/7 or −4/7? (a) −4/7 (b) −3/7
  19. 19.Which is smaller: −1/8 or 2/9? (a) 2/9 (b) −1/8
  20. 20.Is 2/5 positive or negative? (a) Positive (b) Negative
  21. 21.What is (−8/9) + (−3/5)? (a) −67/45 (b) −13/45 (c) 67/45 (d) −11/14
  22. 22.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  23. 23.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  24. 24.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −7/4 (c) 4/7 (d) −4/7
  25. 25.Which is smaller: −4/9 or −3/4? (a) −4/9 (b) −3/4
  26. 26.Which is smaller: −4/7 or −8/9? (a) −4/7 (b) −8/9
  27. 27.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  28. 28.Which is bigger: −7/9 or 7/8? (a) −7/9 (b) 7/8
  29. 29.What is (−2/9) + 1/7? (a) −1/16 (b) 5/63 (c) −23/63 (d) −5/63
  30. 30.What is 4/9 + (−5/7)? (a) 17/63 (b) −1/16 (c) 73/63 (d) −17/63
  31. 31.Which is bigger: −3/8 or −2/5? (a) −2/5 (b) −3/8
  32. 32.What is (−3/7) + 2/7? (a) −5/7 (b) 1/7 (c) −1/7 (d) −1/14
  33. 33.Write −12/14 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) −6/7 (d) 6/7
  34. 34.What is (−5/9) + (−5/6)? (a) 5/18 (b) −2/3 (c) 25/18 (d) −25/18
  35. 35.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −35/40 (b) −7/8 (c) −8/7 (d) 7/8
  36. 36.Is 7/2 positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −1/9 or −8/9? (a) −1/9 (b) −8/9
  38. 38.What is (−3/8) + (−1/3)? (a) −17/24 (b) −4/11 (c) −1/24 (d) 17/24
  39. 39.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−3/8) + 7/8? (a) 1/4 (b) 1/2 (c) −1/2 (d) −5/4

Answer key

  1. −23/18
  2. Negative
  3. −3/5
  4. −5/7
  5. 1/9
  6. −3/5
  7. Positive
  8. −1/6
  9. Negative
  10. 1/2
  11. 5/2
  12. −1/3
  13. −7/6
  14. −55/63
  15. 1/12
  16. Negative
  17. −4/5
  18. −3/7
  19. −1/8
  20. Positive
  21. −67/45
  22. −5/2
  23. 4/3
  24. −4/7
  25. −3/4
  26. −8/9
  27. 2/5
  28. 7/8
  29. −5/63
  30. −17/63
  31. −3/8
  32. −1/7
  33. −6/7
  34. −25/18
  35. −7/8
  36. Positive
  37. −8/9
  38. −17/24
  39. Negative
  40. 1/2

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