← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 248 · 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.Which is smaller: −2/7 or 1/7? (a) −2/7 (b) 1/7
  2. 2.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −1/5 or −3/5? (a) −1/5 (b) −3/5
  4. 4.Write −4/24 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −4/24 (d) −1/6
  5. 5.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  6. 6.What is (−7/9) − 1/2? (a) 23/18 (b) −23/18 (c) −8/11 (d) −5/18
  7. 7.What is 5/9 − (−3/7)? (a) 62/63 (b) 8/63 (c) −62/63 (d) 1/2
  8. 8.Which is smaller: −4/5 or 1/6? (a) −4/5 (b) 1/6
  9. 9.Is −3/5 positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of 4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  11. 11.What is (−4/9) + 5/9? (a) 1/18 (b) −1 (c) −1/9 (d) 1/9
  12. 12.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  13. 13.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.Write −25/35 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −25/35 (c) −5/7 (d) 5/7
  15. 15.What is 5/6 + (−3/4)? (a) 19/12 (b) 1/5 (c) 1/12 (d) −1/12
  16. 16.What is (−6/7) + 3/8? (a) −1/5 (b) 27/56 (c) −69/56 (d) −27/56
  17. 17.What is 1/2 − (−4/9)? (a) 1/18 (b) 5/11 (c) −17/18 (d) 17/18
  18. 18.Is 4/(−2) positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of 1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  20. 20.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  21. 21.Write −36/42 in standard form (lowest terms, positive denominator). (a) −36/42 (b) −6/7 (c) −7/6 (d) 6/7
  22. 22.What is (−3/5) − 3/4? (a) 27/20 (b) 3/20 (c) −2/3 (d) −27/20
  23. 23.What is the additive inverse of −2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  24. 24.Which is smaller: −7/8 or −3/4? (a) −7/8 (b) −3/4
  25. 25.What is (−7/9) + (−8/9)? (a) 5/3 (b) 1/9 (c) −5/6 (d) −5/3
  26. 26.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  27. 27.What is 7/9 + (−3/7)? (a) 76/63 (b) −22/63 (c) 22/63 (d) 1/4
  28. 28.What is the additive inverse of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  29. 29.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  30. 30.Is 8/6 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −7/8 or 1/9? (a) −7/8 (b) 1/9
  32. 32.Which is bigger: −1/6 or −3/4? (a) −1/6 (b) −3/4
  33. 33.What is (−1/7) + 1/3? (a) −10/21 (b) 4/21 (c) −4/21 (d) 0
  34. 34.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.What is 2/5 − (−1/7)? (a) 9/35 (b) 1/4 (c) 19/35 (d) −19/35
  36. 36.What is the additive inverse of 3/5? (a) 3/5 (b) −3/5 (c) −5/3 (d) 5/3
  37. 37.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  38. 38.What is 2/3 + (−7/8)? (a) 5/24 (b) −5/24 (c) 37/24 (d) −5/11
  39. 39.Which is bigger: −1/6 or −4/9? (a) −1/6 (b) −4/9
  40. 40.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −3/24 (c) −8/1 (d) 1/8

Answer key

  1. −2/7
  2. Negative
  3. −1/5
  4. −1/6
  5. −3/2
  6. −23/18
  7. 62/63
  8. −4/5
  9. Negative
  10. −4/9
  11. 1/9
  12. −3
  13. Negative
  14. −5/7
  15. 1/12
  16. −27/56
  17. 17/18
  18. Negative
  19. −1/4
  20. −9/8
  21. −6/7
  22. −27/20
  23. 2/7
  24. −7/8
  25. −5/3
  26. Positive
  27. 22/63
  28. −8/9
  29. 5/7
  30. Positive
  31. 1/9
  32. −1/6
  33. 4/21
  34. Negative
  35. 19/35
  36. −3/5
  37. 5/2
  38. −5/24
  39. −1/6
  40. −1/8

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