← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 616 · 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 1/6 − (−2/5)? (a) 3/11 (b) 17/30 (c) −7/30 (d) −17/30
  2. 2.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) −3/1 (d) 1/3
  3. 3.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  4. 4.What is (−1/4) + 1/3? (a) 0 (b) −7/12 (c) −1/12 (d) 1/12
  5. 5.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of −1/9? (a) 9 (b) −1/9 (c) −9 (d) 1/9
  7. 7.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  8. 8.Which is bigger: −5/7 or −7/8? (a) −5/7 (b) −7/8
  9. 9.What is 5/6 + (−2/3)? (a) 3/2 (b) 1/3 (c) −1/6 (d) 1/6
  10. 10.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  11. 11.What is the additive inverse of −1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  12. 12.What is (−7/9) + 6/7? (a) −5/63 (b) −1/16 (c) −103/63 (d) 5/63
  13. 13.Which is bigger: −3/8 or 3/7? (a) 3/7 (b) −3/8
  14. 14.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −30/36 (c) 5/6 (d) −6/5
  15. 15.Which is bigger: −4/5 or 2/5? (a) 2/5 (b) −4/5
  16. 16.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  17. 17.Which is smaller: −4/5 or −1/2? (a) −1/2 (b) −4/5
  18. 18.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  19. 19.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  20. 20.What is the additive inverse of −7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  21. 21.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −4/20 (c) 1/5 (d) −1/5
  22. 22.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  23. 23.What is (−4/7) − 3/7? (a) 1 (b) −1/7 (c) −1 (d) −1/2
  24. 24.What is 1/9 + (−3/5)? (a) 32/45 (b) −22/45 (c) 22/45 (d) −1/7
  25. 25.Which is smaller: −1/8 or 4/9? (a) 4/9 (b) −1/8
  26. 26.Is −4/(−9) positive or negative? (a) Positive (b) Negative
  27. 27.Is 7/4 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−1/6) − 2/9? (a) −7/18 (b) 1/18 (c) −1/5 (d) 7/18
  29. 29.Which is bigger: −1/7 or 3/8? (a) −1/7 (b) 3/8
  30. 30.What is the additive inverse of 4/7? (a) 7/4 (b) −4/7 (c) 4/7 (d) −7/4
  31. 31.What is (−2/5) + 5/6? (a) 13/30 (b) 3/11 (c) −13/30 (d) −37/30
  32. 32.What is (−7/9) − (−5/7)? (a) −94/63 (b) 4/63 (c) −1/8 (d) −4/63
  33. 33.Write −15/25 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −15/25 (d) 3/5
  34. 34.What is (−1/5) + (−7/9)? (a) −4/7 (b) −44/45 (c) 26/45 (d) 44/45
  35. 35.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−2/9) + (−4/9)? (a) 2/9 (b) −2/3 (c) −1/3 (d) 2/3
  37. 37.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) 1/6 (d) −2/12
  38. 38.What is the additive inverse of −1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  39. 39.What is (−1/2) − (−5/7)? (a) 4/9 (b) 3/14 (c) −17/14 (d) −3/14
  40. 40.Which is smaller: −2/5 or −1/3? (a) −1/3 (b) −2/5

Answer key

  1. 17/30
  2. −1/3
  3. 8/5
  4. 1/12
  5. Negative
  6. −9
  7. −7/4
  8. −5/7
  9. 1/6
  10. Negative
  11. 1/5
  12. 5/63
  13. 3/7
  14. −5/6
  15. 2/5
  16. −3/2
  17. −4/5
  18. 7
  19. 7/5
  20. 7/8
  21. −1/5
  22. −8/7
  23. −1
  24. −22/45
  25. −1/8
  26. Positive
  27. Positive
  28. −7/18
  29. 3/8
  30. −4/7
  31. 13/30
  32. −4/63
  33. −3/5
  34. −44/45
  35. Negative
  36. −2/3
  37. −1/6
  38. 1/4
  39. 3/14
  40. −2/5

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