← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 968 · 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 12/(−30) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −12/30 (d) −2/5
  2. 2.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4
  3. 3.Which is bigger: −3/7 or −1/7? (a) −3/7 (b) −1/7
  4. 4.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −1/7 (d) −7/1
  5. 5.Is 3/6 positive or negative? (a) Negative (b) Positive
  6. 6.Is −7/5 positive or negative? (a) Positive (b) Negative
  7. 7.What is 5/7 − (−3/5)? (a) −46/35 (b) 2/3 (c) 46/35 (d) 4/35
  8. 8.Which is bigger: −7/9 or −7/8? (a) −7/9 (b) −7/8
  9. 9.What is (−1/6) − 3/7? (a) −4/13 (b) 25/42 (c) −25/42 (d) 11/42
  10. 10.Is −2/5 positive or negative? (a) Negative (b) Positive
  11. 11.What is 2/3 − (−1/9)? (a) −7/9 (b) 5/9 (c) 1/4 (d) 7/9
  12. 12.Which is smaller: −2/9 or −2/5? (a) −2/9 (b) −2/5
  13. 13.Write −4/6 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −4/6 (c) 2/3 (d) −2/3
  14. 14.What is 3/4 − (−1/7)? (a) 4/11 (b) 17/28 (c) 25/28 (d) −25/28
  15. 15.What is (−1/8) − 2/5? (a) 11/40 (b) −21/40 (c) −3/13 (d) 21/40
  16. 16.Which is bigger: −4/9 or 3/5? (a) −4/9 (b) 3/5
  17. 17.Is 5/2 positive or negative? (a) Positive (b) Negative
  18. 18.What is 1/6 + (−5/7)? (a) −23/42 (b) −4/13 (c) 37/42 (d) 23/42
  19. 19.What is (−1/3) + 2/3? (a) −1 (b) 1/6 (c) 1/3 (d) −1/3
  20. 20.What is the additive inverse of −1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  21. 21.What is (−1/3) − 5/7? (a) −3/5 (b) 8/21 (c) −22/21 (d) 22/21
  22. 22.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −3/6 (b) −2/1 (c) −1/2 (d) 1/2
  24. 24.Which is bigger: −1/6 or −5/9? (a) −1/6 (b) −5/9
  25. 25.Which is bigger: −2/9 or −5/9? (a) −5/9 (b) −2/9
  26. 26.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −2/16 (d) −1/8
  27. 27.Is 8/3 positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −4/5 or −1/4? (a) −1/4 (b) −4/5
  29. 29.What is (−3/5) − 4/9? (a) 47/45 (b) −47/45 (c) −7/45 (d) −1/2
  30. 30.What is (−4/9) + 2/3? (a) −2/9 (b) −10/9 (c) 2/9 (d) −1/6
  31. 31.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) −7/9 (d) 7/9
  32. 32.What is (−5/7) − (−3/5)? (a) 4/35 (b) −4/35 (c) −1/6 (d) −46/35
  33. 33.Is −8/(−2) positive or negative? (a) Positive (b) Negative
  34. 34.Which is smaller: −7/9 or 2/3? (a) −7/9 (b) 2/3
  35. 35.What is 1/3 − (−2/7)? (a) 13/21 (b) 3/10 (c) 1/21 (d) −13/21
  36. 36.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 2/7 (c) 7/2 (d) −7/2
  37. 37.Write −8/18 in standard form (lowest terms, positive denominator). (a) −8/18 (b) 4/9 (c) −4/9 (d) −9/4
  38. 38.What is (−2/7) − 3/4? (a) −5/11 (b) 13/28 (c) −29/28 (d) 29/28
  39. 39.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −16/18 (c) −8/9 (d) 8/9
  40. 40.What is (−4/7) + (−1/2)? (a) −1/14 (b) 15/14 (c) −15/14 (d) −5/9

Answer key

  1. −2/5
  2. −9/4
  3. −1/7
  4. −1/7
  5. Positive
  6. Negative
  7. 46/35
  8. −7/9
  9. −25/42
  10. Negative
  11. 7/9
  12. −2/5
  13. −2/3
  14. 25/28
  15. −21/40
  16. 3/5
  17. Positive
  18. −23/42
  19. 1/3
  20. 1/8
  21. −22/21
  22. Negative
  23. −1/2
  24. −1/6
  25. −2/9
  26. −1/8
  27. Positive
  28. −4/5
  29. −47/45
  30. 2/9
  31. −7/9
  32. −4/35
  33. Positive
  34. −7/9
  35. 13/21
  36. 7/2
  37. −4/9
  38. −29/28
  39. −8/9
  40. −15/14

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