← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 123 · 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 1/7 − (−1/2)? (a) 9/14 (b) −5/14 (c) −9/14 (d) 2/9
  2. 2.Which is smaller: −4/7 or −1/3? (a) −1/3 (b) −4/7
  3. 3.What is the additive inverse of 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  4. 4.Which is bigger: −1/5 or −1/4? (a) −1/4 (b) −1/5
  5. 5.What is (−2/3) − (−5/8)? (a) −1/24 (b) 1/24 (c) 3/11 (d) −31/24
  6. 6.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.Which is smaller: −2/7 or 7/8? (a) 7/8 (b) −2/7
  8. 8.What is (−2/7) + (−8/9)? (a) 38/63 (b) −5/8 (c) −74/63 (d) 74/63
  9. 9.Write −4/12 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) 1/3 (d) −4/12
  10. 10.Which is bigger: −2/5 or −2/7? (a) −2/7 (b) −2/5
  11. 11.Which is smaller: −6/7 or 7/8? (a) 7/8 (b) −6/7
  12. 12.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  13. 13.Write −4/36 in standard form (lowest terms, positive denominator). (a) −4/36 (b) −9/1 (c) 1/9 (d) −1/9
  14. 14.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −5/30 (c) 1/6 (d) −1/6
  15. 15.Which is smaller: −2/9 or −1/2? (a) −1/2 (b) −2/9
  16. 16.What is (−2/9) − (−5/6)? (a) −19/18 (b) 11/18 (c) 1/5 (d) −11/18
  17. 17.Which is smaller: −2/5 or −1/6? (a) −1/6 (b) −2/5
  18. 18.Which is smaller: −3/5 or −2/3? (a) −3/5 (b) −2/3
  19. 19.What is (−5/7) + 1/6? (a) −37/42 (b) −4/13 (c) −23/42 (d) 23/42
  20. 20.Which is smaller: −5/9 or −4/7? (a) −4/7 (b) −5/9
  21. 21.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −24/27 (d) 8/9
  22. 22.What is the additive inverse of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  23. 23.Which is bigger: −3/7 or −5/7? (a) −3/7 (b) −5/7
  24. 24.What is the additive inverse of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  25. 25.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −15/35 (b) −3/7 (c) 3/7 (d) −7/3
  26. 26.Which is bigger: −1/6 or −4/7? (a) −4/7 (b) −1/6
  27. 27.What is (−1/2) − 3/8? (a) 7/8 (b) −7/8 (c) −2/5 (d) −1/8
  28. 28.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −4/16 (d) −1/4
  29. 29.What is 5/9 + (−1/3)? (a) 1/3 (b) 8/9 (c) 2/9 (d) −2/9
  30. 30.Is 4/3 positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of 5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  32. 32.Which is bigger: −1/9 or 4/5? (a) 4/5 (b) −1/9
  33. 33.Which is bigger: −1/5 or −2/3? (a) −2/3 (b) −1/5
  34. 34.What is 1/3 − (−1/9)? (a) 2/9 (b) −4/9 (c) 1/6 (d) 4/9
  35. 35.Is 6/3 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−5/8) + (−3/7)? (a) −8/15 (b) −59/56 (c) 59/56 (d) −11/56
  37. 37.What is (−1/6) + 1/6? (a) −1/3 (b) 0
  38. 38.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  39. 39.Which is bigger: −7/9 or −2/5? (a) −7/9 (b) −2/5
  40. 40.What is (−3/8) + (−3/5)? (a) −39/40 (b) 9/40 (c) −6/13 (d) 39/40

Answer key

  1. 9/14
  2. −4/7
  3. −1/7
  4. −1/5
  5. −1/24
  6. Positive
  7. −2/7
  8. −74/63
  9. −1/3
  10. −2/7
  11. −6/7
  12. 5/3
  13. −1/9
  14. −1/6
  15. −1/2
  16. 11/18
  17. −2/5
  18. −2/3
  19. −23/42
  20. −4/7
  21. −8/9
  22. −1/3
  23. −3/7
  24. −8/9
  25. −3/7
  26. −1/6
  27. −7/8
  28. −1/4
  29. 2/9
  30. Positive
  31. −5/9
  32. 4/5
  33. −1/5
  34. 4/9
  35. Positive
  36. −59/56
  37. 0
  38. 8/7
  39. −2/5
  40. −39/40

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