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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 456 · 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.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −2/4 (d) −1/2
  2. 2.Which is smaller: −8/9 or −1/8? (a) −1/8 (b) −8/9
  3. 3.Which is smaller: −7/9 or 5/8? (a) −7/9 (b) 5/8
  4. 4.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  5. 5.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) 1/5 (d) −3/15
  6. 6.What is 1/4 + (−1/8)? (a) 0 (b) 3/8 (c) −1/8 (d) 1/8
  7. 7.Which is smaller: −3/8 or −3/7? (a) −3/8 (b) −3/7
  8. 8.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −3/4 (c) 3/4 (d) −4/3
  10. 10.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) −1/7 (c) 1/7 (d) −7/1
  11. 11.Write −12/21 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −12/21 (d) −7/4
  12. 12.What is 2/5 + (−1/4)? (a) 3/20 (b) −3/20 (c) 1/9 (d) 13/20
  13. 13.What is 4/7 + (−5/6)? (a) 11/42 (b) −1/13 (c) −11/42 (d) 59/42
  14. 14.What is (−4/9) − 6/7? (a) 82/63 (b) −5/8 (c) −82/63 (d) 26/63
  15. 15.What is 3/4 − (−3/8)? (a) −9/8 (b) 3/8 (c) 9/8 (d) 1/2
  16. 16.What is (−5/7) − (−3/4)? (a) −2/11 (b) −1/28 (c) 1/28 (d) −41/28
  17. 17.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  18. 18.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −6/27
  19. 19.What is (−4/9) + 1/9? (a) 1/3 (b) −1/6 (c) −5/9 (d) −1/3
  20. 20.What is (−4/5) − (−2/3)? (a) −2/15 (b) −1/4 (c) 2/15 (d) −22/15
  21. 21.Which is bigger: −5/6 or −4/9? (a) −5/6 (b) −4/9
  22. 22.What is 3/4 − (−1/6)? (a) 7/12 (b) −11/12 (c) 2/5 (d) 11/12
  23. 23.Which is smaller: −1/6 or −2/9? (a) −1/6 (b) −2/9
  24. 24.Which is smaller: −1/4 or −1/8? (a) −1/4 (b) −1/8
  25. 25.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −16/18 (d) 8/9
  26. 26.Which is bigger: −1/9 or 2/7? (a) 2/7 (b) −1/9
  27. 27.Is 6/3 positive or negative? (a) Positive (b) Negative
  28. 28.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −15/21 (d) −5/7
  29. 29.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−7/8) − 6/7? (a) −1/56 (b) 97/56 (c) −13/15 (d) −97/56
  31. 31.Which is bigger: −2/3 or 2/7? (a) 2/7 (b) −2/3
  32. 32.Is −9/4 positive or negative? (a) Negative (b) Positive
  33. 33.Is 1/5 positive or negative? (a) Positive (b) Negative
  34. 34.What is the additive inverse of −5/7? (a) −5/7 (b) −7/5 (c) 5/7 (d) 7/5
  35. 35.Write −4/6 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −4/6
  36. 36.Write −5/15 in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −5/15 (d) −3/1
  37. 37.Write −28/32 in standard form (lowest terms, positive denominator). (a) −28/32 (b) 7/8 (c) −8/7 (d) −7/8
  38. 38.What is (−1/4) − (−1/3)? (a) 1/12 (b) −1/12 (c) −7/12 (d) 0
  39. 39.Write −15/20 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −15/20 (c) −3/4 (d) 3/4
  40. 40.What is (−2/3) + (−2/5)? (a) 16/15 (b) −4/15 (c) −16/15 (d) −1/2

Answer key

  1. −1/2
  2. −8/9
  3. −7/9
  4. −7
  5. −1/5
  6. 1/8
  7. −3/7
  8. Positive
  9. −3/4
  10. −1/7
  11. −4/7
  12. 3/20
  13. −11/42
  14. −82/63
  15. 9/8
  16. 1/28
  17. Negative
  18. −2/9
  19. −1/3
  20. −2/15
  21. −4/9
  22. 11/12
  23. −2/9
  24. −1/4
  25. −8/9
  26. 2/7
  27. Positive
  28. −5/7
  29. Positive
  30. −97/56
  31. 2/7
  32. Negative
  33. Positive
  34. 5/7
  35. −2/3
  36. −1/3
  37. −7/8
  38. 1/12
  39. −3/4
  40. −16/15

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