← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 60 · 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 additive inverse of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  2. 2.What is 3/4 + (−7/9)? (a) 55/36 (b) −4/13 (c) −1/36 (d) 1/36
  3. 3.Which is smaller: −6/7 or 1/5? (a) 1/5 (b) −6/7
  4. 4.Which is smaller: −4/7 or −3/4? (a) −3/4 (b) −4/7
  5. 5.Is −7/6 positive or negative? (a) Positive (b) Negative
  6. 6.Is 4/2 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−4/9) − (−7/8)? (a) 3/17 (b) −31/72 (c) −95/72 (d) 31/72
  8. 8.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  9. 9.Which is smaller: −1/9 or 7/8? (a) −1/9 (b) 7/8
  10. 10.What is (−2/9) + 1/3? (a) −1/12 (b) 1/9 (c) −1/9 (d) −5/9
  11. 11.What is (−1/8) + 1/2? (a) −5/8 (b) 0 (c) −3/8 (d) 3/8
  12. 12.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −5/1 (c) 1/5 (d) −1/5
  13. 13.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −10/14 (b) 5/7 (c) −5/7 (d) −7/5
  14. 14.Which is bigger: −6/7 or −1/3? (a) −6/7 (b) −1/3
  15. 15.What is 4/9 − (−3/5)? (a) −7/45 (b) 1/2 (c) −47/45 (d) 47/45
  16. 16.Is −3/3 positive or negative? (a) Negative (b) Positive
  17. 17.Which is smaller: −7/9 or 5/7? (a) 5/7 (b) −7/9
  18. 18.Is 7/(−7) positive or negative? (a) Negative (b) Positive
  19. 19.What is the additive inverse of −1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  20. 20.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  21. 21.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  23. 23.What is the additive inverse of −4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4
  24. 24.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  25. 25.What is (−1/9) − 5/9? (a) −1/3 (b) 4/9 (c) −2/3 (d) 2/3
  26. 26.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  27. 27.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−3/4) + (−1/4)? (a) −1/2 (b) 1 (c) −1
  29. 29.What is 8/9 − (−4/5)? (a) 76/45 (b) 6/7 (c) 4/45 (d) −76/45
  30. 30.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −9/12 (d) −3/4
  31. 31.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −6/8 (c) −3/4 (d) −4/3
  32. 32.What is 1/2 + (−8/9)? (a) −7/11 (b) 7/18 (c) −7/18 (d) 25/18
  33. 33.What is 3/4 + (−1/2)? (a) 1/3 (b) 1/4 (c) −1/4 (d) 5/4
  34. 34.Which is bigger: −3/7 or 5/6? (a) 5/6 (b) −3/7
  35. 35.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  36. 36.Which is bigger: −3/8 or −5/9? (a) −3/8 (b) −5/9
  37. 37.Which is bigger: −6/7 or 1/4? (a) −6/7 (b) 1/4
  38. 38.What is 1/8 − (−3/5)? (a) 4/13 (b) 29/40 (c) −29/40 (d) −19/40
  39. 39.What is 1/7 − (−2/9)? (a) 3/16 (b) −23/63 (c) −5/63 (d) 23/63
  40. 40.Which is smaller: −1/5 or −2/3? (a) −1/5 (b) −2/3

Answer key

  1. 1/7
  2. −1/36
  3. −6/7
  4. −3/4
  5. Negative
  6. Positive
  7. 31/72
  8. 8/5
  9. −1/9
  10. 1/9
  11. 3/8
  12. −1/5
  13. −5/7
  14. −1/3
  15. 47/45
  16. Negative
  17. −7/9
  18. Negative
  19. 1/6
  20. Negative
  21. Positive
  22. 3/2
  23. 4/9
  24. 2/5
  25. −2/3
  26. −8/5
  27. Positive
  28. −1
  29. 76/45
  30. −3/4
  31. −3/4
  32. −7/18
  33. 1/4
  34. 5/6
  35. 5
  36. −3/8
  37. 1/4
  38. 29/40
  39. 23/63
  40. −2/3

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