← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 808 · 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 5/3 positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −2/3 or 7/8? (a) 7/8 (b) −2/3
  3. 3.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  4. 4.What is (−1/8) − 5/8? (a) −3/8 (b) 1/2 (c) −3/4 (d) 3/4
  5. 5.Which is bigger: −1/9 or −1/8? (a) −1/8 (b) −1/9
  6. 6.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) −16/28 (d) 4/7
  7. 7.Which is smaller: −3/7 or 8/9? (a) 8/9 (b) −3/7
  8. 8.What is 6/7 − (−1/3)? (a) 11/21 (b) 25/21 (c) 7/10 (d) −25/21
  9. 9.What is (−2/5) + (−4/7)? (a) 34/35 (b) −1/2 (c) 6/35 (d) −34/35
  10. 10.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  11. 11.Which is bigger: −1/3 or −5/9? (a) −1/3 (b) −5/9
  12. 12.What is 4/7 + (−1/3)? (a) 3/10 (b) −5/21 (c) 5/21 (d) 19/21
  13. 13.Is 4/5 positive or negative? (a) Negative (b) Positive
  14. 14.What is 5/6 + (−5/9)? (a) 25/18 (b) 5/18 (c) −5/18 (d) 0
  15. 15.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  16. 16.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −6/18 (b) 1/3 (c) −3/1 (d) −1/3
  17. 17.What is (−7/8) − (−1/2)? (a) 3/8 (b) −11/8 (c) −3/5 (d) −3/8
  18. 18.What is (−7/8) + 1/2? (a) −11/8 (b) −3/5 (c) −3/8 (d) 3/8
  19. 19.Write −14/18 in standard form (lowest terms, positive denominator). (a) −14/18 (b) −7/9 (c) 7/9 (d) −9/7
  20. 20.Which is bigger: −2/3 or 2/9? (a) 2/9 (b) −2/3
  21. 21.What is 2/7 − (−7/8)? (a) 3/5 (b) 65/56 (c) −33/56 (d) −65/56
  22. 22.Which is bigger: −1/3 or 1/2? (a) 1/2 (b) −1/3
  23. 23.What is (−2/5) + (−5/8)? (a) −7/13 (b) 41/40 (c) −41/40 (d) 9/40
  24. 24.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  25. 25.Write −12/16 in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −4/3 (d) −12/16
  26. 26.Is −3/8 positive or negative? (a) Positive (b) Negative
  27. 27.Write −16/36 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −4/9 (d) −16/36
  28. 28.What is (−4/5) + 4/7? (a) −48/35 (b) 8/35 (c) 0 (d) −8/35
  29. 29.Write −24/42 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −24/42 (c) 4/7 (d) −4/7
  30. 30.What is (−3/7) + (−4/5)? (a) −43/35 (b) 13/35 (c) 43/35 (d) −7/12
  31. 31.Which is smaller: −3/4 or −5/9? (a) −3/4 (b) −5/9
  32. 32.What is 2/3 + (−1/2)? (a) 1/6 (b) 7/6 (c) 1/5 (d) −1/6
  33. 33.What is the additive inverse of 5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  34. 34.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) 3/8 (d) −18/48
  35. 35.What is 2/5 + (−5/8)? (a) 41/40 (b) 9/40 (c) −3/13 (d) −9/40
  36. 36.What is (−4/7) − 3/4? (a) −7/11 (b) 37/28 (c) −37/28 (d) 5/28
  37. 37.Which is smaller: −2/3 or −3/4? (a) −2/3 (b) −3/4
  38. 38.Is −9/2 positive or negative? (a) Positive (b) Negative
  39. 39.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −6/48 (d) −8/1
  40. 40.What is (−1/6) − (−5/9)? (a) −13/18 (b) −7/18 (c) 4/15 (d) 7/18

Answer key

  1. Positive
  2. −2/3
  3. −5/4
  4. −3/4
  5. −1/9
  6. −4/7
  7. −3/7
  8. 25/21
  9. −34/35
  10. Negative
  11. −1/3
  12. 5/21
  13. Positive
  14. 5/18
  15. Positive
  16. −1/3
  17. −3/8
  18. −3/8
  19. −7/9
  20. 2/9
  21. 65/56
  22. 1/2
  23. −41/40
  24. 5/3
  25. −3/4
  26. Negative
  27. −4/9
  28. −8/35
  29. −4/7
  30. −43/35
  31. −3/4
  32. 1/6
  33. −5/9
  34. −3/8
  35. −9/40
  36. −37/28
  37. −3/4
  38. Negative
  39. −1/8
  40. 7/18

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