← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 29 · 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.Is 1/5 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−3/4) − 4/7? (a) −5/28 (b) −7/11 (c) −37/28 (d) 37/28
  3. 3.What is (−8/9) + 5/9? (a) −1/3 (b) −13/9 (c) −1/6 (d) 1/3
  4. 4.Which is bigger: −1/3 or −4/7? (a) −4/7 (b) −1/3
  5. 5.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−7/9) − 1/4? (a) 37/36 (b) −19/36 (c) −8/13 (d) −37/36
  7. 7.What is (−8/9) + 2/7? (a) −38/63 (b) −74/63 (c) 38/63 (d) −3/8
  8. 8.Which is bigger: −1/3 or 1/2? (a) −1/3 (b) 1/2
  9. 9.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  10. 10.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −4/6 (d) −2/3
  11. 11.Which is smaller: −7/9 or 2/3? (a) 2/3 (b) −7/9
  12. 12.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  13. 13.What is 3/5 + (−3/7)? (a) −6/35 (b) 0 (c) 36/35 (d) 6/35
  14. 14.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −6/10 (d) −3/5
  15. 15.Which is bigger: −1/3 or −7/9? (a) −1/3 (b) −7/9
  16. 16.What is (−1/6) − (−5/8)? (a) 11/24 (b) 2/7 (c) −11/24 (d) −19/24
  17. 17.What is (−1/8) − 2/7? (a) −1/5 (b) 23/56 (c) −23/56 (d) 9/56
  18. 18.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) 4/9 (c) −4/9 (d) −9/4
  19. 19.Which is bigger: −1/5 or −3/7? (a) −1/5 (b) −3/7
  20. 20.What is (−4/5) − (−5/8)? (a) 7/40 (b) −57/40 (c) 1/13 (d) −7/40
  21. 21.What is (−4/7) + (−8/9)? (a) −3/4 (b) 20/63 (c) 92/63 (d) −92/63
  22. 22.What is 2/7 − (−1/2)? (a) 1/3 (b) 11/14 (c) −11/14 (d) −3/14
  23. 23.What is (−5/6) + 8/9? (a) 1/5 (b) −1/18 (c) −31/18 (d) 1/18
  24. 24.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  25. 25.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  26. 26.What is the additive inverse of 2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  27. 27.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) 1/7 (d) −3/21
  28. 28.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4
  29. 29.What is (−1/4) − 4/7? (a) 9/28 (b) −23/28 (c) 23/28 (d) −5/11
  30. 30.What is 2/7 + (−1/6)? (a) 5/42 (b) −5/42 (c) 1/13 (d) 19/42
  31. 31.What is 1/4 + (−6/7)? (a) 31/28 (b) −17/28 (c) 17/28 (d) −5/11
  32. 32.What is (−8/9) + 1/2? (a) 7/18 (b) −7/11 (c) −7/18 (d) −25/18
  33. 33.Which is smaller: −5/9 or −7/9? (a) −5/9 (b) −7/9
  34. 34.Which is bigger: −1/3 or 4/9? (a) −1/3 (b) 4/9
  35. 35.What is 5/8 + (−2/3)? (a) 3/11 (b) 1/24 (c) −1/24 (d) 31/24
  36. 36.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −4/24 (d) −6/1
  37. 37.Is −1/5 positive or negative? (a) Positive (b) Negative
  38. 38.Is −7/3 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−5/6) + (−1/4)? (a) −13/12 (b) −7/12 (c) −3/5 (d) 13/12
  40. 40.What is the additive inverse of 5/9? (a) −5/9 (b) −9/5 (c) 5/9 (d) 9/5

Answer key

  1. Positive
  2. −37/28
  3. −1/3
  4. −1/3
  5. Negative
  6. −37/36
  7. −38/63
  8. 1/2
  9. Negative
  10. −2/3
  11. −7/9
  12. 3/8
  13. 6/35
  14. −3/5
  15. −1/3
  16. 11/24
  17. −23/56
  18. −4/9
  19. −1/5
  20. −7/40
  21. −92/63
  22. 11/14
  23. 1/18
  24. 4
  25. −1/2
  26. −2/3
  27. −1/7
  28. −9/4
  29. −23/28
  30. 5/42
  31. −17/28
  32. −7/18
  33. −7/9
  34. 4/9
  35. −1/24
  36. −1/6
  37. Negative
  38. Negative
  39. −13/12
  40. −5/9

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