← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 148 · 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 the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −8/3 (c) −3/8 (d) 3/8
  2. 2.Which is bigger: −1/5 or 3/4? (a) −1/5 (b) 3/4
  3. 3.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  4. 4.Which is bigger: −5/9 or 3/8? (a) −5/9 (b) 3/8
  5. 5.Write −28/36 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −28/36 (d) −7/9
  6. 6.Is −5/9 positive or negative? (a) Positive (b) Negative
  7. 7.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −30/48
  8. 8.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) −7 (d) 7
  9. 9.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 7/3 (c) 3/7 (d) −3/7
  10. 10.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) 4/7 (d) −4/7
  11. 11.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−5/8) + (−2/3)? (a) 31/24 (b) −7/11 (c) 1/24 (d) −31/24
  13. 13.What is (−3/5) − 1/8? (a) 29/40 (b) −4/13 (c) −29/40 (d) −19/40
  14. 14.What is 3/8 − (−1/4)? (a) 1/3 (b) −5/8 (c) 1/8 (d) 5/8
  15. 15.Write −2/12 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −2/12
  16. 16.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  17. 17.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  18. 18.What is (−7/8) − 6/7? (a) −13/15 (b) −97/56 (c) −1/56 (d) 97/56
  19. 19.Which is bigger: −4/7 or 7/8? (a) 7/8 (b) −4/7
  20. 20.Which is bigger: −2/7 or 5/8? (a) −2/7 (b) 5/8
  21. 21.What is 3/5 − (−2/3)? (a) −19/15 (b) 19/15 (c) 5/8 (d) −1/15
  22. 22.Which is bigger: −4/5 or 5/7? (a) 5/7 (b) −4/5
  23. 23.What is (−1/8) − (−4/7)? (a) 25/56 (b) −25/56 (c) 1/5 (d) −39/56
  24. 24.What is (−5/7) + 1/7? (a) −2/7 (b) −6/7 (c) 4/7 (d) −4/7
  25. 25.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/2) − (−5/7)? (a) −3/14 (b) −17/14 (c) 4/9 (d) 3/14
  27. 27.What is (−2/3) − 1/6? (a) −1/3 (b) −1/2 (c) 5/6 (d) −5/6
  28. 28.What is (−3/5) − 3/5? (a) −3/5 (b) 0 (c) 6/5 (d) −6/5
  29. 29.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) −7/9 (c) 7/9 (d) 9/7
  30. 30.What is (−7/8) − 4/9? (a) 95/72 (b) −11/17 (c) −31/72 (d) −95/72
  31. 31.Which is bigger: −1/7 or 1/5? (a) −1/7 (b) 1/5
  32. 32.Write −5/10 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −5/10 (d) −2/1
  33. 33.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  34. 34.What is (−4/9) − 8/9? (a) −2/3 (b) −4/3 (c) 4/9 (d) 4/3
  35. 35.What is (−1/5) + (−1/2)? (a) −7/10 (b) 7/10 (c) 3/10 (d) −2/7
  36. 36.What is 5/8 − (−1/7)? (a) 43/56 (b) 27/56 (c) −43/56 (d) 2/5
  37. 37.Is 8/(−4) positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −5/7 or 2/7? (a) −5/7 (b) 2/7
  39. 39.What is 1/2 + (−4/5)? (a) 3/10 (b) 13/10 (c) −3/10 (d) −3/7
  40. 40.Which is bigger: −2/5 or −4/7? (a) −2/5 (b) −4/7

Answer key

  1. −8/3
  2. 3/4
  3. 5
  4. 3/8
  5. −7/9
  6. Negative
  7. −5/8
  8. 7
  9. −7/3
  10. −4/7
  11. Negative
  12. −31/24
  13. −29/40
  14. 5/8
  15. −1/6
  16. 9/2
  17. −5/2
  18. −97/56
  19. 7/8
  20. 5/8
  21. 19/15
  22. 5/7
  23. 25/56
  24. −4/7
  25. Positive
  26. 3/14
  27. −5/6
  28. −6/5
  29. −9/7
  30. −95/72
  31. 1/5
  32. −1/2
  33. 7/4
  34. −4/3
  35. −7/10
  36. 43/56
  37. Negative
  38. −5/7
  39. −3/10
  40. −2/5

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