← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 697 · 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.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  2. 2.What is 3/8 + (−1/4)? (a) 1/8 (b) 1/6 (c) −1/8 (d) 5/8
  3. 3.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −4/6 (d) 2/3
  4. 4.Which is bigger: −1/3 or 5/7? (a) 5/7 (b) −1/3
  5. 5.Which is bigger: −3/8 or −3/7? (a) −3/8 (b) −3/7
  6. 6.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) −5/6 (d) 5/6
  7. 7.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −18/24 (c) −3/4 (d) 3/4
  8. 8.Which is smaller: −2/5 or −2/3? (a) −2/3 (b) −2/5
  9. 9.What is (−1/4) − 4/5? (a) 11/20 (b) 21/20 (c) −5/9 (d) −21/20
  10. 10.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −16/18 (d) −8/9
  11. 11.Is 2/2 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −5/6 or 4/5? (a) 4/5 (b) −5/6
  13. 13.Which is bigger: −4/9 or 1/9? (a) 1/9 (b) −4/9
  14. 14.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −1/7 (c) 1/7 (d) −7
  15. 15.What is 3/8 + (−3/4)? (a) 9/8 (b) −3/8 (c) 3/8 (d) 0
  16. 16.What is (−7/9) + 1/9? (a) −8/9 (b) −1/3 (c) 2/3 (d) −2/3
  17. 17.What is (−1/5) − 1/7? (a) −12/35 (b) −1/6 (c) −2/35 (d) 12/35
  18. 18.What is 1/5 − (−1/5)? (a) −2/5 (b) 0 (c) 1/5 (d) 2/5
  19. 19.What is (−3/5) + (−1/6)? (a) −4/11 (b) −23/30 (c) 23/30 (d) −13/30
  20. 20.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) −1/8 (c) 1/8 (d) 8
  21. 21.Is 7/4 positive or negative? (a) Negative (b) Positive
  22. 22.What is (−2/5) + (−2/3)? (a) −1/2 (b) −16/15 (c) 4/15 (d) 16/15
  23. 23.Is −7/4 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−5/6) + 8/9? (a) 1/5 (b) −31/18 (c) −1/18 (d) 1/18
  25. 25.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −4/16
  26. 26.What is (−1/5) + 8/9? (a) −31/45 (b) −49/45 (c) 1/2 (d) 31/45
  27. 27.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/4 (d) −2/1
  28. 28.Is −7/(−9) positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  30. 30.What is (−2/9) + 5/8? (a) 29/72 (b) 3/17 (c) −61/72 (d) −29/72
  31. 31.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  32. 32.What is the additive inverse of −1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  33. 33.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −8/10 (c) −5/4 (d) −4/5
  34. 34.What is (−1/3) + 5/9? (a) −2/9 (b) 1/3 (c) −8/9 (d) 2/9
  35. 35.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −6/12 (c) −2/1 (d) −1/2
  36. 36.Which is bigger: −6/7 or 4/9? (a) 4/9 (b) −6/7
  37. 37.What is 1/5 − (−1/8)? (a) 13/40 (b) 2/13 (c) 3/40 (d) −13/40
  38. 38.What is 2/7 − (−2/3)? (a) −20/21 (b) 2/5 (c) 20/21 (d) −8/21
  39. 39.Is 8/8 positive or negative? (a) Positive (b) Negative
  40. 40.Which is smaller: −3/4 or −3/8? (a) −3/8 (b) −3/4

Answer key

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

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