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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 716 · 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.Which is bigger: −7/9 or 3/5? (a) −7/9 (b) 3/5
  2. 2.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  3. 3.What is 3/5 + (−1/9)? (a) 1/7 (b) 32/45 (c) −22/45 (d) 22/45
  4. 4.What is the additive inverse of 1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  5. 5.Which is bigger: −4/5 or 5/7? (a) 5/7 (b) −4/5
  6. 6.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −2/3 (d) −3/2
  7. 7.Which is bigger: −1/4 or 5/9? (a) 5/9 (b) −1/4
  8. 8.What is (−2/3) − (−5/7)? (a) −1/21 (b) 1/21 (c) 3/10 (d) −29/21
  9. 9.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−1/4) + 4/9? (a) −25/36 (b) 3/13 (c) −7/36 (d) 7/36
  11. 11.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −5/45
  12. 12.Is 4/2 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/8) − 5/7? (a) −2/5 (b) −47/56 (c) 47/56 (d) 33/56
  14. 14.Which is smaller: −2/7 or −1/7? (a) −2/7 (b) −1/7
  15. 15.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −5/15
  16. 16.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  17. 17.Which is bigger: −1/6 or 2/3? (a) −1/6 (b) 2/3
  18. 18.What is (−1/6) + 4/7? (a) 17/42 (b) −31/42 (c) 3/13 (d) −17/42
  19. 19.Write −16/18 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −16/18 (c) 8/9 (d) −9/8
  20. 20.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −12/15
  21. 21.Which is bigger: −5/9 or 6/7? (a) −5/9 (b) 6/7
  22. 22.What is (−3/7) − 4/7? (a) −1/2 (b) 1 (c) 1/7 (d) −1
  23. 23.What is (−2/5) + (−2/3)? (a) 4/15 (b) −1/2 (c) 16/15 (d) −16/15
  24. 24.What is 1/7 − (−4/5)? (a) −33/35 (b) 33/35 (c) −23/35 (d) 5/12
  25. 25.What is (−4/9) + 1/6? (a) 5/18 (b) −1/5 (c) −5/18 (d) −11/18
  26. 26.What is (−1/4) + 2/7? (a) −15/28 (b) 1/28 (c) −1/28 (d) 1/11
  27. 27.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5
  28. 28.What is the additive inverse of −5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  29. 29.Is 5/8 positive or negative? (a) Positive (b) Negative
  30. 30.Write −15/24 in standard form (lowest terms, positive denominator). (a) −15/24 (b) −8/5 (c) −5/8 (d) 5/8
  31. 31.What is (−1/7) + (−2/7)? (a) −3/14 (b) 3/7 (c) 1/7 (d) −3/7
  32. 32.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/9) − (−2/9)? (a) −1/9 (b) 1/18 (c) 1/9 (d) −1/3
  34. 34.What is (−4/9) − (−1/5)? (a) −29/45 (b) −3/14 (c) 11/45 (d) −11/45
  35. 35.Which is smaller: −1/4 or −5/8? (a) −1/4 (b) −5/8
  36. 36.What is (−3/5) − (−2/5)? (a) −1/10 (b) 1/5 (c) −1/5 (d) −1
  37. 37.What is (−4/7) − (−4/9)? (a) 8/63 (b) −64/63 (c) −8/63 (d) 0
  38. 38.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −3/6 (d) −1/2
  39. 39.Is −1/9 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −4/7 or 3/8? (a) −4/7 (b) 3/8

Answer key

  1. 3/5
  2. −9/7
  3. 22/45
  4. −1/8
  5. 5/7
  6. −2/3
  7. 5/9
  8. 1/21
  9. Negative
  10. 7/36
  11. −1/9
  12. Positive
  13. −47/56
  14. −2/7
  15. −1/3
  16. Positive
  17. 2/3
  18. 17/42
  19. −8/9
  20. −4/5
  21. 6/7
  22. −1
  23. −16/15
  24. 33/35
  25. −5/18
  26. 1/28
  27. 5
  28. 5/7
  29. Positive
  30. −5/8
  31. −3/7
  32. Positive
  33. 1/9
  34. −11/45
  35. −5/8
  36. −1/5
  37. −8/63
  38. −1/2
  39. Negative
  40. 3/8

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