← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 285 · 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 −15/25 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −15/25 (c) 3/5 (d) −3/5
  2. 2.Is 7/3 positive or negative? (a) Positive (b) Negative
  3. 3.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −8/9 or 1/3? (a) −8/9 (b) 1/3
  5. 5.What is (−4/5) + 1/9? (a) −3/14 (b) 31/45 (c) −31/45 (d) −41/45
  6. 6.Which is bigger: −6/7 or −5/8? (a) −5/8 (b) −6/7
  7. 7.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  8. 8.What is 2/9 + (−3/8)? (a) −1/17 (b) 43/72 (c) 11/72 (d) −11/72
  9. 9.Which is bigger: −1/4 or 1/2? (a) −1/4 (b) 1/2
  10. 10.What is (−3/7) + 1/6? (a) 11/42 (b) −11/42 (c) −25/42 (d) −2/13
  11. 11.What is 1/2 − (−2/5)? (a) 1/10 (b) 3/7 (c) 9/10 (d) −9/10
  12. 12.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −15/20 (c) −4/3 (d) 3/4
  13. 13.What is (−7/9) − 1/6? (a) −11/18 (b) −8/15 (c) 17/18 (d) −17/18
  14. 14.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −18/48 (b) 3/8 (c) −3/8 (d) −8/3
  15. 15.What is 2/5 + (−7/9)? (a) 53/45 (b) 17/45 (c) −5/14 (d) −17/45
  16. 16.Write −9/24 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −9/24 (c) 3/8 (d) −3/8
  17. 17.Which is bigger: −6/7 or −3/5? (a) −3/5 (b) −6/7
  18. 18.What is (−1/9) + 7/9? (a) −2/3 (b) −8/9 (c) 1/3 (d) 2/3
  19. 19.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −4/14 (c) −7/2 (d) 2/7
  20. 20.What is 3/8 + (−1/8)? (a) 1/4 (b) −1/4 (c) 1/8 (d) 1/2
  21. 21.Which is bigger: −1/9 or 1/3? (a) 1/3 (b) −1/9
  22. 22.Is 9/(−2) positive or negative? (a) Positive (b) Negative
  23. 23.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −20/28
  24. 24.Is −8/6 positive or negative? (a) Positive (b) Negative
  25. 25.Is 8/6 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −2/3 or 4/7? (a) 4/7 (b) −2/3
  27. 27.Which is smaller: −1/5 or −1/4? (a) −1/4 (b) −1/5
  28. 28.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  29. 29.What is (−3/4) − 1/8? (a) −5/8 (b) −1/3 (c) 7/8 (d) −7/8
  30. 30.What is (−7/9) − 1/8? (a) −47/72 (b) 65/72 (c) −65/72 (d) −8/17
  31. 31.What is 1/2 + (−7/8)? (a) −3/8 (b) 11/8 (c) 3/8 (d) −3/5
  32. 32.Which is bigger: −3/5 or 2/7? (a) 2/7 (b) −3/5
  33. 33.What is (−4/7) + 1/7? (a) −5/7 (b) −3/14 (c) −3/7 (d) 3/7
  34. 34.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  35. 35.Write −6/48 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −6/48 (c) 1/8 (d) −1/8
  36. 36.Is −7/7 positive or negative? (a) Positive (b) Negative
  37. 37.What is 2/5 + (−1/3)? (a) −1/15 (b) 11/15 (c) 1/8 (d) 1/15
  38. 38.What is (−3/4) + 2/3? (a) −17/12 (b) −1/12 (c) 1/12 (d) −1/7
  39. 39.Which is smaller: −7/8 or −4/7? (a) −4/7 (b) −7/8
  40. 40.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −30/42

Answer key

  1. −3/5
  2. Positive
  3. Negative
  4. −8/9
  5. −31/45
  6. −5/8
  7. −9/2
  8. −11/72
  9. 1/2
  10. −11/42
  11. 9/10
  12. −3/4
  13. −17/18
  14. −3/8
  15. −17/45
  16. −3/8
  17. −3/5
  18. 2/3
  19. −2/7
  20. 1/4
  21. 1/3
  22. Negative
  23. −5/7
  24. Negative
  25. Positive
  26. −2/3
  27. −1/4
  28. 1/4
  29. −7/8
  30. −65/72
  31. −3/8
  32. 2/7
  33. −3/7
  34. 7/3
  35. −1/8
  36. Negative
  37. 1/15
  38. −1/12
  39. −7/8
  40. −5/7

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