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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 263 · 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.Which is bigger: −1/5 or 5/6? (a) −1/5 (b) 5/6
  2. 2.Write −30/54 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −30/54
  3. 3.What is (−1/5) − 7/8? (a) −8/13 (b) 27/40 (c) −43/40 (d) 43/40
  4. 4.Is 4/8 positive or negative? (a) Negative (b) Positive
  5. 5.Is 8/(−5) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−2/3) + 5/9? (a) 1/4 (b) −11/9 (c) −1/9 (d) 1/9
  7. 7.Write −2/4 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/4 (c) −2/1 (d) 1/2
  8. 8.Which is bigger: −1/8 or −1/5? (a) −1/5 (b) −1/8
  9. 9.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −16/28 (d) −7/4
  10. 10.What is 4/9 + (−3/5)? (a) 1/14 (b) 7/45 (c) −7/45 (d) 47/45
  11. 11.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −5/7 or −2/7? (a) −5/7 (b) −2/7
  13. 13.What is (−1/2) + 3/5? (a) −11/10 (b) −1/10 (c) 2/7 (d) 1/10
  14. 14.Which is bigger: −1/8 or −3/8? (a) −3/8 (b) −1/8
  15. 15.What is the additive inverse of −1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  16. 16.What is (−7/8) + (−1/6)? (a) −4/7 (b) −17/24 (c) 25/24 (d) −25/24
  17. 17.What is (−1/7) − 5/7? (a) 4/7 (b) −3/7 (c) 6/7 (d) −6/7
  18. 18.Which is smaller: −3/5 or 2/3? (a) 2/3 (b) −3/5
  19. 19.Which is smaller: −1/8 or 2/5? (a) −1/8 (b) 2/5
  20. 20.What is the additive inverse of 8/9? (a) 9/8 (b) −8/9 (c) 8/9 (d) −9/8
  21. 21.Which is bigger: −1/6 or 1/9? (a) 1/9 (b) −1/6
  22. 22.What is (−3/5) + 1/3? (a) −14/15 (b) −4/15 (c) 4/15 (d) −1/4
  23. 23.Which is smaller: −5/9 or 7/9? (a) −5/9 (b) 7/9
  24. 24.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −35/45 (c) −7/9 (d) 7/9
  25. 25.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  26. 26.What is (−5/7) − (−3/4)? (a) −1/28 (b) −41/28 (c) −2/11 (d) 1/28
  27. 27.Is 6/7 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−1/8) + (−2/3)? (a) −3/11 (b) 19/24 (c) 13/24 (d) −19/24
  29. 29.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  30. 30.What is 7/9 + (−1/5)? (a) −26/45 (b) 3/7 (c) 26/45 (d) 44/45
  31. 31.Write −20/24 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −20/24 (c) 5/6 (d) −6/5
  32. 32.What is 1/7 + (−2/7)? (a) −1/7 (b) −1/14 (c) 1/7 (d) 3/7
  33. 33.What is (−3/5) + 1/7? (a) 16/35 (b) −26/35 (c) −1/6 (d) −16/35
  34. 34.What is (−6/7) − 2/5? (a) −16/35 (b) −2/3 (c) 44/35 (d) −44/35
  35. 35.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −9/15 (d) −3/5
  36. 36.What is the additive inverse of 5/6? (a) 5/6 (b) 6/5 (c) −5/6 (d) −6/5
  37. 37.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −30/35 (d) −6/7
  38. 38.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  39. 39.Is 1/6 positive or negative? (a) Positive (b) Negative
  40. 40.What is (−2/7) − 7/8? (a) −3/5 (b) 65/56 (c) 33/56 (d) −65/56

Answer key

  1. 5/6
  2. −5/9
  3. −43/40
  4. Positive
  5. Negative
  6. −1/9
  7. −1/2
  8. −1/8
  9. −4/7
  10. −7/45
  11. Negative
  12. −2/7
  13. 1/10
  14. −1/8
  15. 1/7
  16. −25/24
  17. −6/7
  18. −3/5
  19. −1/8
  20. −8/9
  21. 1/9
  22. −4/15
  23. −5/9
  24. −7/9
  25. −1/3
  26. 1/28
  27. Positive
  28. −19/24
  29. −3/2
  30. 26/45
  31. −5/6
  32. −1/7
  33. −16/35
  34. −44/35
  35. −3/5
  36. −5/6
  37. −6/7
  38. 5/3
  39. Positive
  40. −65/56

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