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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 756 · 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 1/6? (a) 1/6 (b) −5/7
  2. 2.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  3. 3.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  4. 4.What is (−1/4) − 3/8? (a) 5/8 (b) −1/3 (c) −5/8 (d) 1/8
  5. 5.What is (−1/7) + 1/8? (a) −15/56 (b) 1/56 (c) 0 (d) −1/56
  6. 6.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  7. 7.Is 4/5 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−5/8) + 3/5? (a) −1/40 (b) −49/40 (c) 1/40 (d) −2/13
  9. 9.Which is bigger: −6/7 or −3/7? (a) −3/7 (b) −6/7
  10. 10.What is 1/5 − (−5/8)? (a) 33/40 (b) 6/13 (c) −33/40 (d) −17/40
  11. 11.What is 5/6 − (−1/4)? (a) 7/12 (b) 3/5 (c) −13/12 (d) 13/12
  12. 12.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −3/9
  13. 13.What is (−5/6) + (−3/7)? (a) 53/42 (b) −8/13 (c) −53/42 (d) −17/42
  14. 14.What is 1/6 − (−1/7)? (a) 1/42 (b) 2/13 (c) 13/42 (d) −13/42
  15. 15.What is (−1/2) − 2/7? (a) 11/14 (b) −3/14 (c) −11/14 (d) −1/3
  16. 16.What is 3/7 − (−1/6)? (a) −25/42 (b) 25/42 (c) 11/42 (d) 4/13
  17. 17.What is 5/8 − (−1/2)? (a) 3/5 (b) 1/8 (c) −9/8 (d) 9/8
  18. 18.What is 3/5 + (−4/7)? (a) 41/35 (b) −1/35 (c) 1/35 (d) −1/12
  19. 19.What is (−2/5) + (−1/3)? (a) −3/8 (b) 11/15 (c) −1/15 (d) −11/15
  20. 20.What is the additive inverse of −5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  21. 21.What is 3/7 − (−2/7)? (a) 5/7 (b) 5/14 (c) −5/7 (d) 1/7
  22. 22.Which is smaller: −4/5 or 3/7? (a) −4/5 (b) 3/7
  23. 23.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −10/45 (c) 2/9 (d) −2/9
  24. 24.What is (−3/4) − 1/4? (a) 1 (b) −1/2 (c) −1
  25. 25.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −2/14
  26. 26.What is (−7/9) − 1/4? (a) −37/36 (b) −19/36 (c) −8/13 (d) 37/36
  27. 27.What is (−7/9) − 7/8? (a) 119/72 (b) −14/17 (c) 7/72 (d) −119/72
  28. 28.What is 1/7 + (−1/6)? (a) 0 (b) −1/42 (c) 13/42 (d) 1/42
  29. 29.What is the additive inverse of 2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  30. 30.Is 6/4 positive or negative? (a) Positive (b) Negative
  31. 31.Is −8/2 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−3/8) − (−1/9)? (a) −2/17 (b) −35/72 (c) 19/72 (d) −19/72
  33. 33.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.What is 5/6 + (−1/4)? (a) −7/12 (b) 7/12 (c) 13/12 (d) 2/5
  35. 35.Which is smaller: −5/8 or −2/9? (a) −5/8 (b) −2/9
  36. 36.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −5/3 (c) −3/5 (d) 3/5
  37. 37.Write −9/24 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −9/24 (c) 3/8 (d) −3/8
  38. 38.What is (−7/8) − (−5/7)? (a) −9/56 (b) −89/56 (c) −2/15 (d) 9/56
  39. 39.What is (−2/9) + (−5/8)? (a) −7/17 (b) 61/72 (c) −61/72 (d) 29/72
  40. 40.Which is smaller: −5/8 or −1/6? (a) −5/8 (b) −1/6

Answer key

  1. 1/6
  2. −8/3
  3. −3/5
  4. −5/8
  5. −1/56
  6. −5
  7. Positive
  8. −1/40
  9. −3/7
  10. 33/40
  11. 13/12
  12. −1/3
  13. −53/42
  14. 13/42
  15. −11/14
  16. 25/42
  17. 9/8
  18. 1/35
  19. −11/15
  20. 5/7
  21. 5/7
  22. −4/5
  23. −2/9
  24. −1
  25. −1/7
  26. −37/36
  27. −119/72
  28. −1/42
  29. −2/5
  30. Positive
  31. Negative
  32. −19/72
  33. Positive
  34. 7/12
  35. −5/8
  36. −3/5
  37. −3/8
  38. −9/56
  39. −61/72
  40. −5/8

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