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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 686 · 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 2/5 + (−2/9)? (a) 8/45 (b) 0 (c) −8/45 (d) 28/45
  2. 2.Write −5/45 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −5/45 (c) −9/1 (d) −1/9
  3. 3.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) −9/8 (c) −8/9 (d) 8/9
  4. 4.Which is bigger: −5/7 or 1/6? (a) 1/6 (b) −5/7
  5. 5.Which is bigger: −1/8 or 4/9? (a) 4/9 (b) −1/8
  6. 6.What is (−5/7) − (−1/2)? (a) −17/14 (b) −4/9 (c) 3/14 (d) −3/14
  7. 7.What is (−3/8) − (−5/7)? (a) −61/56 (b) 19/56 (c) 2/15 (d) −19/56
  8. 8.Is 8/5 positive or negative? (a) Positive (b) Negative
  9. 9.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −8/18 (c) −9/4 (d) −4/9
  10. 10.Which is bigger: −1/7 or −5/6? (a) −5/6 (b) −1/7
  11. 11.What is (−7/9) + (−1/4)? (a) −19/36 (b) −8/13 (c) −37/36 (d) 37/36
  12. 12.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −6/24
  13. 13.Which is smaller: −1/8 or −5/8? (a) −5/8 (b) −1/8
  14. 14.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  15. 15.What is 1/5 − (−3/8)? (a) −7/40 (b) 23/40 (c) 4/13 (d) −23/40
  16. 16.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−3/7) + 7/9? (a) 1/4 (b) −22/63 (c) 22/63 (d) −76/63
  18. 18.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −18/24 (c) −3/4 (d) −4/3
  19. 19.Is −4/9 positive or negative? (a) Negative (b) Positive
  20. 20.What is 2/7 − (−2/3)? (a) −8/21 (b) −20/21 (c) 2/5 (d) 20/21
  21. 21.Which is smaller: −4/7 or −2/9? (a) −2/9 (b) −4/7
  22. 22.What is (−3/5) + 2/7? (a) −31/35 (b) −11/35 (c) −1/12 (d) 11/35
  23. 23.Is 1/3 positive or negative? (a) Negative (b) Positive
  24. 24.Which is smaller: −4/9 or −3/4? (a) −4/9 (b) −3/4
  25. 25.What is (−5/6) + (−1/4)? (a) −7/12 (b) −13/12 (c) 13/12 (d) −3/5
  26. 26.What is 4/7 − (−1/7)? (a) 5/7 (b) −5/7 (c) 3/7 (d) 5/14
  27. 27.What is 5/6 + (−3/5)? (a) 43/30 (b) 7/30 (c) 2/11 (d) −7/30
  28. 28.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.What is 1/8 + (−3/4)? (a) −5/8 (b) 7/8 (c) −1/6 (d) 5/8
  30. 30.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −5/3 (d) −3/5
  31. 31.What is (−2/3) + 1/3? (a) −1/6 (b) −1/3 (c) −1 (d) 1/3
  32. 32.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  33. 33.What is the additive inverse of −5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  34. 34.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −2/8
  35. 35.Which is bigger: −1/3 or 1/4? (a) 1/4 (b) −1/3
  36. 36.Which is smaller: −2/5 or 2/3? (a) −2/5 (b) 2/3
  37. 37.What is (−1/5) − (−4/7)? (a) −13/35 (b) 13/35 (c) −27/35 (d) 1/4
  38. 38.Which is bigger: −1/3 or 7/9? (a) −1/3 (b) 7/9
  39. 39.Is 7/9 positive or negative? (a) Positive (b) Negative
  40. 40.Is −5/4 positive or negative? (a) Positive (b) Negative

Answer key

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

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