← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 407 · 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 (−1/8) + 5/9? (a) −31/72 (b) −49/72 (c) 4/17 (d) 31/72
  2. 2.Which is bigger: −3/5 or −2/9? (a) −2/9 (b) −3/5
  3. 3.Is −3/6 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−4/7) − (−4/9)? (a) 8/63 (b) −8/63 (c) 0 (d) −64/63
  5. 5.What is (−4/5) + (−1/2)? (a) −3/10 (b) −5/7 (c) −13/10 (d) 13/10
  6. 6.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −36/42
  7. 7.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −8/18 (d) −4/9
  8. 8.What is 2/9 − (−3/4)? (a) 35/36 (b) −19/36 (c) −35/36 (d) 5/13
  9. 9.Write −12/18 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −12/18 (d) −2/3
  10. 10.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  11. 11.Is −1/3 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−3/4) − 1/7? (a) −4/11 (b) 25/28 (c) −17/28 (d) −25/28
  13. 13.What is (−5/6) + 3/7? (a) −17/42 (b) 17/42 (c) −2/13 (d) −53/42
  14. 14.What is (−1/9) − 2/9? (a) 1/9 (b) −1/3 (c) −1/6 (d) 1/3
  15. 15.Which is smaller: −2/9 or −2/5? (a) −2/5 (b) −2/9
  16. 16.What is 3/7 + (−3/8)? (a) 45/56 (b) 0 (c) −3/56 (d) 3/56
  17. 17.Write −48/54 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) 8/9 (d) −48/54
  18. 18.What is (−6/7) − 4/9? (a) −5/8 (b) 82/63 (c) −26/63 (d) −82/63
  19. 19.What is 7/9 − (−1/4)? (a) 8/13 (b) 19/36 (c) 37/36 (d) −37/36
  20. 20.What is 1/6 + (−1/4)? (a) 5/12 (b) 1/12 (c) −1/12 (d) 0
  21. 21.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) 4/7 (d) −8/14
  22. 22.What is (−3/5) − (−1/4)? (a) −17/20 (b) −7/20 (c) 7/20 (d) −2/9
  23. 23.What is the additive inverse of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  24. 24.What is (−5/9) − (−2/9)? (a) −1/3 (b) −1/6 (c) −7/9 (d) 1/3
  25. 25.What is (−5/9) + 3/5? (a) −52/45 (b) −1/7 (c) 2/45 (d) −2/45
  26. 26.Which is bigger: −3/5 or −1/4? (a) −1/4 (b) −3/5
  27. 27.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  28. 28.Is 4/8 positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  30. 30.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  32. 32.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  33. 33.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −35/45 (d) 7/9
  34. 34.Which is bigger: −5/7 or −4/9? (a) −5/7 (b) −4/9
  35. 35.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  36. 36.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) −3/5 (c) −5/3 (d) 3/5
  37. 37.What is the additive inverse of −6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  38. 38.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  40. 40.Write −9/21 in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −7/3 (d) −9/21

Answer key

  1. 31/72
  2. −2/9
  3. Negative
  4. −8/63
  5. −13/10
  6. −6/7
  7. −4/9
  8. 35/36
  9. −2/3
  10. Positive
  11. Negative
  12. −25/28
  13. −17/42
  14. −1/3
  15. −2/5
  16. 3/56
  17. −8/9
  18. −82/63
  19. 37/36
  20. −1/12
  21. −4/7
  22. −7/20
  23. −4/7
  24. −1/3
  25. 2/45
  26. −1/4
  27. Negative
  28. Positive
  29. −5/3
  30. Positive
  31. −5/6
  32. 5/8
  33. −7/9
  34. −4/9
  35. −3/2
  36. −3/5
  37. 6/7
  38. Positive
  39. 7/2
  40. −3/7

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