← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 77 · 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 bigger: −5/7 or −5/8? (a) −5/8 (b) −5/7
  2. 2.What is 3/8 + (−7/8)? (a) −1/2 (b) 1/2 (c) −1/4 (d) 5/4
  3. 3.Is 4/5 positive or negative? (a) Negative (b) Positive
  4. 4.What is 2/7 + (−5/7)? (a) −3/7 (b) −3/14 (c) 1 (d) 3/7
  5. 5.What is (−1/4) − 5/7? (a) −6/11 (b) −27/28 (c) 13/28 (d) 27/28
  6. 6.What is (−1/4) + 2/7? (a) 1/11 (b) −1/28 (c) −15/28 (d) 1/28
  7. 7.Which is bigger: −4/7 or −7/9? (a) −4/7 (b) −7/9
  8. 8.Is −9/4 positive or negative? (a) Negative (b) Positive
  9. 9.Which is smaller: −7/8 or 4/5? (a) −7/8 (b) 4/5
  10. 10.Which is bigger: −2/5 or −2/3? (a) −2/3 (b) −2/5
  11. 11.Which is bigger: −4/7 or −3/4? (a) −4/7 (b) −3/4
  12. 12.Which is bigger: −2/3 or 8/9? (a) 8/9 (b) −2/3
  13. 13.What is (−1/2) + 5/8? (a) −9/8 (b) 1/8 (c) −1/8 (d) 2/5
  14. 14.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −4/8
  15. 15.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −8/9 (c) 8/9 (d) −9/8
  16. 16.What is 3/5 + (−2/5)? (a) 1/5 (b) 1 (c) −1/5 (d) 1/10
  17. 17.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −15/21
  18. 18.What is 2/3 − (−2/3)? (a) −4/3 (b) 0 (c) 4/3 (d) 2/3
  19. 19.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  20. 20.What is (−1/2) + 2/3? (a) −7/6 (b) −1/6 (c) 1/6 (d) 1/5
  21. 21.Which is smaller: −7/8 or −3/7? (a) −7/8 (b) −3/7
  22. 22.What is the reciprocal (multiplicative inverse) of −2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5
  23. 23.What is (−5/8) + (−1/7)? (a) −43/56 (b) −27/56 (c) −2/5 (d) 43/56
  24. 24.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  25. 25.Which is bigger: −4/9 or 2/3? (a) −4/9 (b) 2/3
  26. 26.Which is bigger: −1/7 or −4/7? (a) −4/7 (b) −1/7
  27. 27.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  28. 28.What is 7/8 + (−7/8)? (a) 0 (b) 7/4
  29. 29.What is (−4/9) − 3/4? (a) −43/36 (b) 11/36 (c) 43/36 (d) −7/13
  30. 30.What is (−1/2) − 1/4? (a) −1/4 (b) −3/4 (c) −1/3 (d) 3/4
  31. 31.What is (−3/8) − (−2/5)? (a) −1/13 (b) 1/40 (c) −31/40 (d) −1/40
  32. 32.Write −6/21 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −6/21 (c) −7/2 (d) −2/7
  33. 33.What is (−1/5) − 2/3? (a) 13/15 (b) −3/8 (c) 7/15 (d) −13/15
  34. 34.Is −9/2 positive or negative? (a) Negative (b) Positive
  35. 35.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −2/10 (d) 1/5
  36. 36.Which is bigger: −7/9 or 5/9? (a) 5/9 (b) −7/9
  37. 37.What is (−3/8) + (−3/7)? (a) −45/56 (b) 45/56 (c) 3/56 (d) −2/5
  38. 38.Is 2/2 positive or negative? (a) Negative (b) Positive
  39. 39.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −2/3 (c) −3/2 (d) 2/3
  40. 40.What is (−5/7) + (−4/5)? (a) 3/35 (b) −53/35 (c) 53/35 (d) −3/4

Answer key

  1. −5/8
  2. −1/2
  3. Positive
  4. −3/7
  5. −27/28
  6. 1/28
  7. −4/7
  8. Negative
  9. −7/8
  10. −2/5
  11. −4/7
  12. 8/9
  13. 1/8
  14. −1/2
  15. −9/8
  16. 1/5
  17. −5/7
  18. 4/3
  19. 8/3
  20. 1/6
  21. −7/8
  22. −5/2
  23. −43/56
  24. 5/6
  25. 2/3
  26. −1/7
  27. 1/6
  28. 0
  29. −43/36
  30. −3/4
  31. 1/40
  32. −2/7
  33. −13/15
  34. Negative
  35. −1/5
  36. 5/9
  37. −45/56
  38. Positive
  39. −2/3
  40. −53/35

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