← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 985 · 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 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −5/2 (d) −2/5
  2. 2.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −7/2 (d) −2/7
  3. 3.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −5/8 (d) −30/48
  4. 4.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−5/9) − 3/5? (a) 52/45 (b) 2/45 (c) −4/7 (d) −52/45
  6. 6.Which is bigger: −3/7 or 6/7? (a) 6/7 (b) −3/7
  7. 7.What is 2/3 + (−5/8)? (a) −1/24 (b) 1/24 (c) −3/11 (d) 31/24
  8. 8.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  10. 10.What is (−2/3) + 3/7? (a) −23/21 (b) 1/10 (c) −5/21 (d) 5/21
  11. 11.Is −1/5 positive or negative? (a) Positive (b) Negative
  12. 12.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −9/15
  13. 13.Which is bigger: −2/7 or −2/5? (a) −2/7 (b) −2/5
  14. 14.What is (−4/9) + 5/9? (a) −1 (b) −1/9 (c) 1/18 (d) 1/9
  15. 15.Which is bigger: −1/4 or −7/9? (a) −7/9 (b) −1/4
  16. 16.What is 4/7 + (−1/2)? (a) 15/14 (b) 1/14 (c) 1/3 (d) −1/14
  17. 17.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−1/4) + (−3/8)? (a) 1/8 (b) 5/8 (c) −5/8 (d) −1/3
  19. 19.What is (−1/5) − 1/2? (a) −7/10 (b) −2/7 (c) 3/10 (d) 7/10
  20. 20.Which is smaller: −1/9 or −1/4? (a) −1/4 (b) −1/9
  21. 21.Which is bigger: −2/9 or −8/9? (a) −2/9 (b) −8/9
  22. 22.Write −4/10 in standard form (lowest terms, positive denominator). (a) −4/10 (b) −5/2 (c) −2/5 (d) 2/5
  23. 23.Is 1/9 positive or negative? (a) Negative (b) Positive
  24. 24.Write −15/18 in standard form (lowest terms, positive denominator). (a) −15/18 (b) −6/5 (c) −5/6 (d) 5/6
  25. 25.What is (−1/5) + (−5/6)? (a) −6/11 (b) 19/30 (c) −31/30 (d) 31/30
  26. 26.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  27. 27.Which is smaller: −4/9 or −6/7? (a) −4/9 (b) −6/7
  28. 28.Which is smaller: −4/5 or −1/9? (a) −4/5 (b) −1/9
  29. 29.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  30. 30.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −18/30 (c) 3/5 (d) −3/5
  31. 31.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −3/7 or −1/6? (a) −1/6 (b) −3/7
  33. 33.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) −5/1 (c) 1/5 (d) −1/5
  34. 34.Which is bigger: −2/3 or −5/9? (a) −5/9 (b) −2/3
  35. 35.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −16/28 (d) −4/7
  36. 36.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  37. 37.What is the additive inverse of −2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  38. 38.Which is bigger: −2/9 or −3/5? (a) −3/5 (b) −2/9
  39. 39.Which is bigger: −8/9 or 5/9? (a) −8/9 (b) 5/9
  40. 40.What is (−2/7) − 1/8? (a) −9/56 (b) −23/56 (c) 23/56 (d) −1/5

Answer key

  1. −2/5
  2. −2/7
  3. −5/8
  4. Negative
  5. −52/45
  6. 6/7
  7. 1/24
  8. Negative
  9. 3/2
  10. −5/21
  11. Negative
  12. −3/5
  13. −2/7
  14. 1/9
  15. −1/4
  16. 1/14
  17. Positive
  18. −5/8
  19. −7/10
  20. −1/4
  21. −2/9
  22. −2/5
  23. Positive
  24. −5/6
  25. −31/30
  26. 5/3
  27. −6/7
  28. −4/5
  29. 1/3
  30. −3/5
  31. Negative
  32. −1/6
  33. −1/5
  34. −5/9
  35. −4/7
  36. 4/3
  37. 2/3
  38. −2/9
  39. 5/9
  40. −23/56

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