← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 277 · 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 2/(−12) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −2/12
  2. 2.Which is smaller: −4/9 or 6/7? (a) −4/9 (b) 6/7
  3. 3.Which is bigger: −3/5 or −2/5? (a) −2/5 (b) −3/5
  4. 4.Which is bigger: −3/7 or −3/5? (a) −3/7 (b) −3/5
  5. 5.Which is bigger: −3/4 or −6/7? (a) −6/7 (b) −3/4
  6. 6.Write −6/48 in standard form (lowest terms, positive denominator). (a) −6/48 (b) −1/8 (c) 1/8 (d) −8/1
  7. 7.What is (−1/5) − (−5/9)? (a) 16/45 (b) −34/45 (c) −16/45 (d) 2/7
  8. 8.Is 3/9 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−4/5) − 2/5? (a) 6/5 (b) −2/5 (c) −6/5 (d) −3/5
  10. 10.What is the additive inverse of 3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  11. 11.What is (−5/7) − 4/7? (a) −9/14 (b) −9/7 (c) −1/7 (d) 9/7
  12. 12.Write −8/14 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) 4/7 (d) −8/14
  13. 13.What is 6/7 + (−1/7)? (a) 5/14 (b) −5/7 (c) 5/7 (d) 1
  14. 14.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  15. 15.What is (−2/5) − 1/4? (a) −13/20 (b) −1/3 (c) −3/20 (d) 13/20
  16. 16.Which is bigger: −8/9 or 2/5? (a) −8/9 (b) 2/5
  17. 17.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) 3/5 (d) −3/5
  18. 18.What is 2/9 + (−2/5)? (a) −8/45 (b) 0 (c) 28/45 (d) 8/45
  19. 19.Write −9/21 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) 3/7 (d) −9/21
  20. 20.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −3/9 (d) −1/3
  21. 21.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  22. 22.What is (−3/8) + 5/6? (a) −29/24 (b) −11/24 (c) 1/7 (d) 11/24
  23. 23.What is (−7/9) − (−2/5)? (a) −17/45 (b) 17/45 (c) −5/14 (d) −53/45
  24. 24.What is 1/3 + (−1/5)? (a) 2/15 (b) −2/15 (c) 0 (d) 8/15
  25. 25.What is 1/2 + (−4/7)? (a) −1/14 (b) 1/14 (c) 15/14 (d) −1/3
  26. 26.Write −12/28 in standard form (lowest terms, positive denominator). (a) −12/28 (b) −7/3 (c) −3/7 (d) 3/7
  27. 27.Is −6/8 positive or negative? (a) Negative (b) Positive
  28. 28.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) 6/7 (d) −6/7
  29. 29.Which is smaller: −5/6 or 1/6? (a) −5/6 (b) 1/6
  30. 30.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  31. 31.What is (−1/6) − 2/9? (a) 1/18 (b) −7/18 (c) 7/18 (d) −1/5
  32. 32.What is (−1/5) − 1/3? (a) 8/15 (b) −8/15 (c) 2/15 (d) −1/4
  33. 33.Which is bigger: −4/7 or −5/8? (a) −5/8 (b) −4/7
  34. 34.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −30/48
  35. 35.What is (−8/9) − 2/3? (a) 14/9 (b) −5/6 (c) −14/9 (d) −2/9
  36. 36.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −12/16
  37. 37.What is the additive inverse of −1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  38. 38.Which is bigger: −1/6 or 7/8? (a) 7/8 (b) −1/6
  39. 39.Write −2/10 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −2/10
  40. 40.What is (−1/3) + (−5/8)? (a) 23/24 (b) −6/11 (c) 7/24 (d) −23/24

Answer key

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

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