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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 517 · 40 sums
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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 (−4/7) − (−2/9)? (a) −22/63 (b) −50/63 (c) 22/63 (d) −1/8
  2. 2.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  3. 3.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −12/20
  4. 4.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  5. 5.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−1/4) − 3/4? (a) 1/2 (b) −1/2 (c) 1 (d) −1
  7. 7.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −6/48
  8. 8.What is 3/5 − (−2/3)? (a) −1/15 (b) −19/15 (c) 19/15 (d) 5/8
  9. 9.Which is bigger: −7/8 or 3/4? (a) −7/8 (b) 3/4
  10. 10.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  11. 11.What is the additive inverse of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  12. 12.Is 8/2 positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −5/9 or 4/5? (a) 4/5 (b) −5/9
  14. 14.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −3/2 (c) −2/3 (d) 2/3
  15. 15.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  16. 16.Is −5/6 positive or negative? (a) Negative (b) Positive
  17. 17.Write −24/54 in standard form (lowest terms, positive denominator). (a) −24/54 (b) −9/4 (c) 4/9 (d) −4/9
  18. 18.Which is bigger: −5/9 or −2/9? (a) −2/9 (b) −5/9
  19. 19.What is (−1/5) + 1/4? (a) −9/20 (b) 1/20 (c) 0 (d) −1/20
  20. 20.Is 7/5 positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −1/5 or 2/9? (a) −1/5 (b) 2/9
  22. 22.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  23. 23.Write −16/36 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) 4/9 (d) −16/36
  24. 24.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  25. 25.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) −2/3 (d) 2/3
  26. 26.Is 3/8 positive or negative? (a) Positive (b) Negative
  27. 27.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  28. 28.What is 2/3 − (−1/9)? (a) 7/9 (b) −7/9 (c) 1/4 (d) 5/9
  29. 29.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  30. 30.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  31. 31.What is (−1/7) − (−1/7)? (a) −2/7 (b) 0
  32. 32.Which is smaller: −4/5 or 2/7? (a) −4/5 (b) 2/7
  33. 33.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  34. 34.Which is smaller: −7/8 or −1/7? (a) −7/8 (b) −1/7
  35. 35.Which is smaller: −2/3 or −5/9? (a) −2/3 (b) −5/9
  36. 36.What is the additive inverse of 3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  37. 37.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −24/27 (c) −8/9 (d) 8/9
  38. 38.Is −5/5 positive or negative? (a) Positive (b) Negative
  39. 39.What is (−2/9) + 1/8? (a) −25/72 (b) 7/72 (c) −7/72 (d) −1/17
  40. 40.Is −5/(−3) positive or negative? (a) Positive (b) Negative

Answer key

  1. −22/63
  2. 3/2
  3. −3/5
  4. 8/5
  5. Positive
  6. −1
  7. −1/8
  8. 19/15
  9. 3/4
  10. Negative
  11. 5/6
  12. Positive
  13. −5/9
  14. −2/3
  15. Positive
  16. Negative
  17. −4/9
  18. −2/9
  19. 1/20
  20. Positive
  21. 2/9
  22. Negative
  23. −4/9
  24. −7/2
  25. −2/3
  26. Positive
  27. 5/3
  28. 7/9
  29. 2
  30. −2/5
  31. 0
  32. −4/5
  33. −5/3
  34. −7/8
  35. −2/3
  36. −3/8
  37. −8/9
  38. Negative
  39. −7/72
  40. Positive

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