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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 624 · 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 (−1/3) − (−3/5)? (a) −14/15 (b) −4/15 (c) 1/4 (d) 4/15
  2. 2.What is (−7/9) − 3/7? (a) −22/63 (b) 76/63 (c) −76/63 (d) −5/8
  3. 3.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  4. 4.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  5. 5.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −3/9
  6. 6.What is (−1/8) + 3/5? (a) −29/40 (b) 2/13 (c) −19/40 (d) 19/40
  7. 7.Is 9/4 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−2/3) − 2/7? (a) 20/21 (b) −20/21 (c) −8/21 (d) −2/5
  9. 9.Write −4/14 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −4/14 (c) −7/2 (d) −2/7
  10. 10.What is 8/9 − (−3/8)? (a) 91/72 (b) −91/72 (c) 37/72 (d) 11/17
  11. 11.What is (−4/9) + 3/4? (a) −11/36 (b) −1/13 (c) 11/36 (d) −43/36
  12. 12.Is 1/7 positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  14. 14.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  15. 15.What is (−2/9) + 1/4? (a) −1/13 (b) −17/36 (c) 1/36 (d) −1/36
  16. 16.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) 3/8 (d) −18/48
  17. 17.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −4/24 (d) −6/1
  18. 18.Which is bigger: −2/5 or 5/7? (a) 5/7 (b) −2/5
  19. 19.What is (−5/8) + (−2/3)? (a) 31/24 (b) −7/11 (c) 1/24 (d) −31/24
  20. 20.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  21. 21.Which is bigger: −3/7 or 1/9? (a) −3/7 (b) 1/9
  22. 22.Which is bigger: −3/4 or −8/9? (a) −3/4 (b) −8/9
  23. 23.Which is smaller: −2/5 or −5/9? (a) −2/5 (b) −5/9
  24. 24.What is (−1/2) + 5/6? (a) 1/3 (b) −4/3 (c) −1/3 (d) 1/2
  25. 25.Which is bigger: −1/4 or −4/7? (a) −4/7 (b) −1/4
  26. 26.Which is smaller: −5/8 or 5/7? (a) 5/7 (b) −5/8
  27. 27.What is 3/8 − (−1/2)? (a) −7/8 (b) 2/5 (c) −1/8 (d) 7/8
  28. 28.What is the additive inverse of −5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  29. 29.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −30/54 (b) 5/9 (c) −5/9 (d) −9/5
  30. 30.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−6/7) + 4/9? (a) 26/63 (b) −82/63 (c) −1/8 (d) −26/63
  32. 32.Is −4/8 positive or negative? (a) Positive (b) Negative
  33. 33.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) 3/5 (c) −5/3 (d) −3/5
  34. 34.Which is bigger: −1/9 or 1/5? (a) −1/9 (b) 1/5
  35. 35.What is 8/9 − (−4/5)? (a) 76/45 (b) 4/45 (c) 6/7 (d) −76/45
  36. 36.What is 1/3 − (−1/2)? (a) −1/6 (b) 5/6 (c) −5/6 (d) 2/5
  37. 37.Which is smaller: −2/5 or −1/9? (a) −2/5 (b) −1/9
  38. 38.Which is smaller: −1/8 or −3/4? (a) −1/8 (b) −3/4
  39. 39.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) 1/4 (c) −4/1 (d) −1/4
  40. 40.Which is bigger: −1/5 or 8/9? (a) −1/5 (b) 8/9

Answer key

  1. 4/15
  2. −76/63
  3. −5/7
  4. Negative
  5. −1/3
  6. 19/40
  7. Positive
  8. −20/21
  9. −2/7
  10. 91/72
  11. 11/36
  12. Positive
  13. 4/3
  14. Negative
  15. 1/36
  16. −3/8
  17. −1/6
  18. 5/7
  19. −31/24
  20. Negative
  21. 1/9
  22. −3/4
  23. −5/9
  24. 1/3
  25. −1/4
  26. −5/8
  27. 7/8
  28. 5/9
  29. −5/9
  30. Positive
  31. −26/63
  32. Negative
  33. −3/5
  34. 1/5
  35. 76/45
  36. 5/6
  37. −2/5
  38. −3/4
  39. −1/4
  40. 8/9

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