← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 328 · 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 2/3 − (−1/5)? (a) −13/15 (b) 13/15 (c) 3/8 (d) 7/15
  2. 2.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −2/7 (d) −6/21
  3. 3.What is (−8/9) + 1/6? (a) 13/18 (b) −7/15 (c) −19/18 (d) −13/18
  4. 4.Which is bigger: −4/5 or 4/9? (a) 4/9 (b) −4/5
  5. 5.Write −9/24 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −3/8 (d) −9/24
  6. 6.What is 5/7 + (−1/3)? (a) −8/21 (b) 22/21 (c) 8/21 (d) 2/5
  7. 7.Is −8/5 positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −2/9 or 5/6? (a) −2/9 (b) 5/6
  9. 9.What is the additive inverse of 4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  10. 10.Which is smaller: −5/6 or −1/8? (a) −1/8 (b) −5/6
  11. 11.What is the additive inverse of 4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  12. 12.What is (−7/8) − 2/7? (a) −33/56 (b) −65/56 (c) 65/56 (d) −3/5
  13. 13.What is (−1/8) + 7/9? (a) −47/72 (b) −65/72 (c) 47/72 (d) 6/17
  14. 14.What is the additive inverse of −1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  15. 15.What is (−3/7) − (−2/3)? (a) −1/10 (b) −5/21 (c) 5/21 (d) −23/21
  16. 16.What is the additive inverse of 3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  17. 17.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  18. 18.Which is bigger: −5/7 or −4/7? (a) −5/7 (b) −4/7
  19. 19.What is 2/5 − (−5/9)? (a) 1/2 (b) −43/45 (c) 43/45 (d) −7/45
  20. 20.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  21. 21.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  22. 22.Is 8/4 positive or negative? (a) Positive (b) Negative
  23. 23.Is −2/3 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/3) − (−1/7)? (a) −4/21 (b) 4/21 (c) −10/21 (d) 0
  25. 25.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −8/36
  26. 26.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  27. 27.Which is bigger: −3/8 or −5/9? (a) −3/8 (b) −5/9
  28. 28.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  29. 29.Write −2/16 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −2/16 (c) 1/8 (d) −8/1
  30. 30.Which is bigger: −1/5 or 3/7? (a) 3/7 (b) −1/5
  31. 31.What is 1/2 − (−1/8)? (a) −5/8 (b) 5/8 (c) 3/8 (d) 1/5
  32. 32.What is (−4/7) + 3/5? (a) 1/35 (b) −41/35 (c) −1/35 (d) −1/12
  33. 33.Which is smaller: −3/7 or −7/9? (a) −7/9 (b) −3/7
  34. 34.What is (−1/9) − 1/4? (a) −2/13 (b) −13/36 (c) 13/36 (d) 5/36
  35. 35.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −10/16 (c) −8/5 (d) −5/8
  36. 36.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  37. 37.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  38. 38.Which is smaller: −2/9 or −1/5? (a) −2/9 (b) −1/5
  39. 39.Which is bigger: −5/6 or −4/5? (a) −4/5 (b) −5/6
  40. 40.What is 4/7 + (−2/7)? (a) 1/7 (b) 6/7 (c) 2/7 (d) −2/7

Answer key

  1. 13/15
  2. −2/7
  3. −13/18
  4. 4/9
  5. −3/8
  6. 8/21
  7. Negative
  8. 5/6
  9. −4/7
  10. −5/6
  11. −4/9
  12. −65/56
  13. 47/72
  14. 1/8
  15. 5/21
  16. −3/8
  17. −1/5
  18. −4/7
  19. 43/45
  20. Negative
  21. Negative
  22. Positive
  23. Negative
  24. −4/21
  25. −2/9
  26. 3/5
  27. −3/8
  28. Positive
  29. −1/8
  30. 3/7
  31. 5/8
  32. 1/35
  33. −7/9
  34. −13/36
  35. −5/8
  36. −5/8
  37. −1/4
  38. −2/9
  39. −4/5
  40. 2/7

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets