← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 395 · 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 −8/(−5) positive or negative? (a) Negative (b) Positive
  2. 2.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −6/15 (d) −2/5
  3. 3.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −36/42 (b) −7/6 (c) 6/7 (d) −6/7
  5. 5.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  6. 6.What is the additive inverse of −1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  7. 7.Write −21/24 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −21/24 (c) −8/7 (d) −7/8
  8. 8.Write −4/8 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −4/8 (c) 1/2 (d) −2/1
  9. 9.What is (−3/5) − (−7/8)? (a) −11/40 (b) 11/40 (c) −59/40 (d) 4/13
  10. 10.Which is smaller: −4/5 or 3/5? (a) 3/5 (b) −4/5
  11. 11.What is (−3/4) − (−6/7)? (a) −3/28 (b) 3/28 (c) −45/28 (d) 3/11
  12. 12.What is the additive inverse of 5/9? (a) 5/9 (b) −5/9 (c) −9/5 (d) 9/5
  13. 13.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  14. 14.What is (−5/8) − 4/5? (a) 57/40 (b) −9/13 (c) 7/40 (d) −57/40
  15. 15.Write −3/6 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −3/6 (c) 1/2 (d) −1/2
  16. 16.What is (−4/7) + (−1/4)? (a) −5/11 (b) −23/28 (c) −9/28 (d) 23/28
  17. 17.Which is bigger: −2/9 or −1/3? (a) −1/3 (b) −2/9
  18. 18.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  19. 19.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of −4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  21. 21.Write −18/21 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −18/21
  22. 22.What is (−2/9) − 7/8? (a) 47/72 (b) −79/72 (c) −9/17 (d) 79/72
  23. 23.What is 4/9 − (−1/9)? (a) 1/3 (b) 5/9 (c) −5/9 (d) 5/18
  24. 24.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  25. 25.Write −42/48 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −42/48
  26. 26.What is 1/2 + (−1/4)? (a) −1/4 (b) 1/4 (c) 0 (d) 3/4
  27. 27.What is (−1/7) + (−1/8)? (a) 15/56 (b) −2/15 (c) −15/56 (d) −1/56
  28. 28.Is 3/2 positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −5/8 or −1/9? (a) −1/9 (b) −5/8
  30. 30.Is 8/7 positive or negative? (a) Positive (b) Negative
  31. 31.Which is bigger: −3/7 or −2/5? (a) −3/7 (b) −2/5
  32. 32.What is (−1/7) + 2/9? (a) 1/16 (b) −5/63 (c) −23/63 (d) 5/63
  33. 33.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −7/2 (d) −2/7
  34. 34.Is 3/6 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−3/5) + 2/5? (a) −1/10 (b) 1/5 (c) −1 (d) −1/5
  36. 36.Is 9/6 positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −1/5 or −2/7? (a) −2/7 (b) −1/5
  38. 38.Is 1/6 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−1/2) − (−3/7)? (a) 2/9 (b) −1/14 (c) 1/14 (d) −13/14
  40. 40.Is 3/9 positive or negative? (a) Negative (b) Positive

Answer key

  1. Positive
  2. −2/5
  3. Negative
  4. −6/7
  5. Positive
  6. 1/5
  7. −7/8
  8. −1/2
  9. 11/40
  10. −4/5
  11. 3/28
  12. −5/9
  13. −2/5
  14. −57/40
  15. −1/2
  16. −23/28
  17. −2/9
  18. 7/5
  19. Negative
  20. 4/5
  21. −6/7
  22. −79/72
  23. 5/9
  24. Positive
  25. −7/8
  26. 1/4
  27. −15/56
  28. Positive
  29. −1/9
  30. Positive
  31. −2/5
  32. 5/63
  33. −2/7
  34. Positive
  35. −1/5
  36. Positive
  37. −1/5
  38. Positive
  39. −1/14
  40. Positive

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