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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 862 · 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) − 6/7? (a) −43/42 (b) 43/42 (c) 29/42 (d) −7/13
  2. 2.Is 2/5 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−4/7) + (−3/8)? (a) −53/56 (b) −11/56 (c) 53/56 (d) −7/15
  4. 4.Which is bigger: −1/9 or 5/8? (a) −1/9 (b) 5/8
  5. 5.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  6. 6.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) 5/9 (d) −5/9
  7. 7.What is 4/7 − (−1/2)? (a) 5/9 (b) 1/14 (c) 15/14 (d) −15/14
  8. 8.What is (−1/4) + (−5/8)? (a) 7/8 (b) −7/8 (c) 3/8 (d) −1/2
  9. 9.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  10. 10.What is 3/8 − (−1/4)? (a) 1/8 (b) 1/3 (c) 5/8 (d) −5/8
  11. 11.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  12. 12.What is (−7/8) + 2/5? (a) −19/40 (b) −51/40 (c) −5/13 (d) 19/40
  13. 13.What is (−3/4) + 1/9? (a) 23/36 (b) −31/36 (c) −2/13 (d) −23/36
  14. 14.Which is smaller: −5/9 or −1/5? (a) −5/9 (b) −1/5
  15. 15.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −15/25 (d) −3/5
  16. 16.What is (−3/8) + (−1/8)? (a) −1/4 (b) −1/2 (c) 1/2
  17. 17.Is −3/9 positive or negative? (a) Positive (b) Negative
  18. 18.What is 5/6 + (−1/6)? (a) 1 (b) 2/3 (c) −2/3 (d) 1/3
  19. 19.What is (−1/6) + 4/7? (a) 3/13 (b) −31/42 (c) 17/42 (d) −17/42
  20. 20.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) −1/4 (c) 1/4 (d) −4
  21. 21.What is (−1/8) + 4/9? (a) 3/17 (b) −41/72 (c) −23/72 (d) 23/72
  22. 22.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  23. 23.Is −4/6 positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of −1/5? (a) 1/5 (b) −1/5 (c) −5 (d) 5
  25. 25.Which is bigger: −4/7 or −2/7? (a) −4/7 (b) −2/7
  26. 26.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −35/45 (d) −7/9
  27. 27.Write −15/35 in standard form (lowest terms, positive denominator). (a) −15/35 (b) 3/7 (c) −3/7 (d) −7/3
  28. 28.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  29. 29.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −12/42 (c) 2/7 (d) −2/7
  30. 30.What is (−3/5) + 2/9? (a) −37/45 (b) 17/45 (c) −17/45 (d) −1/14
  31. 31.What is (−2/7) − 2/7? (a) 4/7 (b) −4/7 (c) −2/7 (d) 0
  32. 32.Which is bigger: −1/7 or 8/9? (a) −1/7 (b) 8/9
  33. 33.What is 3/7 − (−1/2)? (a) 13/14 (b) −13/14 (c) −1/14 (d) 4/9
  34. 34.Which is bigger: −2/3 or −3/5? (a) −2/3 (b) −3/5
  35. 35.What is (−2/3) + (−4/7)? (a) −26/21 (b) −3/5 (c) 26/21 (d) −2/21
  36. 36.What is (−3/4) − (−2/9)? (a) −1/13 (b) −19/36 (c) −35/36 (d) 19/36
  37. 37.What is (−3/8) − 1/9? (a) −35/72 (b) −4/17 (c) 35/72 (d) −19/72
  38. 38.Is −1/9 positive or negative? (a) Positive (b) Negative
  39. 39.Is 8/9 positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −1/3 or 7/9? (a) −1/3 (b) 7/9

Answer key

  1. −43/42
  2. Positive
  3. −53/56
  4. 5/8
  5. 8
  6. −5/9
  7. 15/14
  8. −7/8
  9. 5/3
  10. 5/8
  11. −6
  12. −19/40
  13. −23/36
  14. −5/9
  15. −3/5
  16. −1/2
  17. Negative
  18. 2/3
  19. 17/42
  20. −4
  21. 23/72
  22. −5
  23. Negative
  24. 1/5
  25. −2/7
  26. −7/9
  27. −3/7
  28. Negative
  29. −2/7
  30. −17/45
  31. −4/7
  32. 8/9
  33. 13/14
  34. −3/5
  35. −26/21
  36. −19/36
  37. −35/72
  38. Negative
  39. Positive
  40. 7/9

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