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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 884 · 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.Which is bigger: −2/9 or 3/7? (a) 3/7 (b) −2/9
  2. 2.What is 1/7 + (−4/9)? (a) 19/63 (b) 37/63 (c) −19/63 (d) −3/16
  3. 3.Which is smaller: −3/7 or 1/6? (a) −3/7 (b) 1/6
  4. 4.What is (−1/4) − (−1/7)? (a) 3/28 (b) −3/28 (c) −11/28 (d) 0
  5. 5.Is −4/8 positive or negative? (a) Negative (b) Positive
  6. 6.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) 5/8 (c) −5/8 (d) −8/5
  7. 7.What is (−8/9) − 8/9? (a) 0 (b) 16/9 (c) −16/9 (d) −8/9
  8. 8.Which is smaller: −1/6 or 2/3? (a) −1/6 (b) 2/3
  9. 9.Is −3/8 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/7) − (−5/6)? (a) −29/42 (b) 4/13 (c) −41/42 (d) 29/42
  11. 11.What is (−2/5) + 1/4? (a) −13/20 (b) −3/20 (c) 3/20 (d) −1/9
  12. 12.Write −15/27 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −15/27 (d) −9/5
  13. 13.Which is bigger: −1/6 or 7/9? (a) 7/9 (b) −1/6
  14. 14.What is (−1/7) + 7/8? (a) 41/56 (b) 2/5 (c) −57/56 (d) −41/56
  15. 15.Which is bigger: −1/7 or −5/8? (a) −1/7 (b) −5/8
  16. 16.Which is bigger: −3/5 or 5/8? (a) −3/5 (b) 5/8
  17. 17.What is 1/9 − (−1/9)? (a) 1/9 (b) 0 (c) 2/9 (d) −2/9
  18. 18.What is the additive inverse of 4/5? (a) −4/5 (b) −5/4 (c) 5/4 (d) 4/5
  19. 19.Write −6/54 in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −6/54 (d) −1/9
  20. 20.Is 3/4 positive or negative? (a) Positive (b) Negative
  21. 21.What is (−1/8) + (−3/7)? (a) −31/56 (b) −4/15 (c) 17/56 (d) 31/56
  22. 22.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −2/8 (c) 1/4 (d) −1/4
  23. 23.What is 3/5 + (−4/5)? (a) −1/10 (b) 7/5 (c) −1/5 (d) 1/5
  24. 24.Is −1/6 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −2/3 or −5/8? (a) −5/8 (b) −2/3
  26. 26.What is (−3/7) − (−2/3)? (a) −5/21 (b) −23/21 (c) −1/10 (d) 5/21
  27. 27.Is −2/6 positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −5/6 or −2/5? (a) −2/5 (b) −5/6
  29. 29.What is (−2/9) + 1/2? (a) −13/18 (b) 5/18 (c) −1/11 (d) −5/18
  30. 30.Is 6/2 positive or negative? (a) Positive (b) Negative
  31. 31.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −9/8 (d) −8/9
  32. 32.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −20/24 (c) −5/6 (d) −6/5
  33. 33.What is (−4/9) − (−5/9)? (a) 1/9 (b) −1 (c) 1/18 (d) −1/9
  34. 34.Which is smaller: −1/2 or 1/7? (a) −1/2 (b) 1/7
  35. 35.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −7/9 or −7/8? (a) −7/8 (b) −7/9
  37. 37.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −3/5 or 2/9? (a) 2/9 (b) −3/5
  39. 39.What is (−2/7) + 3/5? (a) −11/35 (b) 11/35 (c) −31/35 (d) 1/12
  40. 40.What is (−1/3) − (−3/5)? (a) 4/15 (b) −4/15 (c) −14/15 (d) 1/4

Answer key

  1. 3/7
  2. −19/63
  3. −3/7
  4. −3/28
  5. Negative
  6. −5/8
  7. −16/9
  8. −1/6
  9. Negative
  10. 29/42
  11. −3/20
  12. −5/9
  13. 7/9
  14. 41/56
  15. −1/7
  16. 5/8
  17. 2/9
  18. −4/5
  19. −1/9
  20. Positive
  21. −31/56
  22. −1/4
  23. −1/5
  24. Negative
  25. −5/8
  26. 5/21
  27. Negative
  28. −2/5
  29. 5/18
  30. Positive
  31. −8/9
  32. −5/6
  33. 1/9
  34. −1/2
  35. Negative
  36. −7/9
  37. Negative
  38. −3/5
  39. 11/35
  40. 4/15

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