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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 519 · 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: −1/8 or −5/7? (a) −1/8 (b) −5/7
  2. 2.What is (−1/5) + (−4/5)? (a) −1/2 (b) 1 (c) −1 (d) 3/5
  3. 3.What is (−5/6) − (−1/4)? (a) −13/12 (b) −2/5 (c) 7/12 (d) −7/12
  4. 4.Which is smaller: −1/3 or 3/5? (a) 3/5 (b) −1/3
  5. 5.What is (−4/9) − (−5/9)? (a) −1 (b) 1/9 (c) −1/9 (d) 1/18
  6. 6.Write −3/24 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −3/24 (c) −1/8 (d) −8/1
  7. 7.What is (−7/8) − (−5/8)? (a) 1/4 (b) −1/8 (c) −1/4 (d) −3/2
  8. 8.Write −15/40 in standard form (lowest terms, positive denominator). (a) −15/40 (b) 3/8 (c) −3/8 (d) −8/3
  9. 9.Which is bigger: −3/7 or −5/7? (a) −3/7 (b) −5/7
  10. 10.What is (−3/8) − 3/4? (a) 9/8 (b) −1/2 (c) 3/8 (d) −9/8
  11. 11.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  12. 12.Is −6/4 positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −8/9 or 2/3? (a) 2/3 (b) −8/9
  14. 14.What is the additive inverse of 1/7? (a) −1/7 (b) 7 (c) 1/7 (d) −7
  15. 15.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  16. 16.Is −5/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −7/8 or −1/4? (a) −7/8 (b) −1/4
  18. 18.What is (−3/8) + (−1/8)? (a) −1/4 (b) −1/2 (c) 1/2
  19. 19.What is (−1/2) − (−8/9)? (a) −25/18 (b) 7/18 (c) 7/11 (d) −7/18
  20. 20.What is 1/6 + (−1/6)? (a) 0 (b) 1/3
  21. 21.Which is bigger: −1/2 or −7/9? (a) −1/2 (b) −7/9
  22. 22.Is 1/8 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −7/9 or 1/6? (a) −7/9 (b) 1/6
  24. 24.What is 2/5 + (−2/3)? (a) 0 (b) 4/15 (c) 16/15 (d) −4/15
  25. 25.Write −30/36 in standard form (lowest terms, positive denominator). (a) −30/36 (b) −5/6 (c) 5/6 (d) −6/5
  26. 26.What is 3/5 − (−7/8)? (a) −11/40 (b) 10/13 (c) 59/40 (d) −59/40
  27. 27.Which is smaller: −2/5 or −4/7? (a) −4/7 (b) −2/5
  28. 28.What is (−2/9) + 3/7? (a) 1/16 (b) −13/63 (c) 13/63 (d) −41/63
  29. 29.What is (−4/7) + 3/4? (a) 5/28 (b) −1/11 (c) −37/28 (d) −5/28
  30. 30.What is (−2/5) − 1/2? (a) 1/10 (b) −3/7 (c) 9/10 (d) −9/10
  31. 31.Which is smaller: −5/7 or −1/3? (a) −1/3 (b) −5/7
  32. 32.What is (−2/3) − (−7/8)? (a) −37/24 (b) −5/24 (c) 5/24 (d) 5/11
  33. 33.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −6/15 (d) −2/5
  34. 34.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −2/12
  35. 35.Which is bigger: −1/2 or −2/9? (a) −1/2 (b) −2/9
  36. 36.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  37. 37.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) −1/3 (d) 1/3
  38. 38.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−1/3) − 3/5? (a) 14/15 (b) −1/2 (c) −14/15 (d) 4/15
  40. 40.What is (−2/9) + 1/2? (a) −1/11 (b) −5/18 (c) −13/18 (d) 5/18

Answer key

  1. −1/8
  2. −1
  3. −7/12
  4. −1/3
  5. 1/9
  6. −1/8
  7. −1/4
  8. −3/8
  9. −3/7
  10. −9/8
  11. Negative
  12. Negative
  13. −8/9
  14. −1/7
  15. Negative
  16. Positive
  17. −7/8
  18. −1/2
  19. 7/18
  20. 0
  21. −1/2
  22. Positive
  23. 1/6
  24. −4/15
  25. −5/6
  26. 59/40
  27. −4/7
  28. 13/63
  29. 5/28
  30. −9/10
  31. −5/7
  32. 5/24
  33. −2/5
  34. −1/6
  35. −2/9
  36. Negative
  37. −1/3
  38. Positive
  39. −14/15
  40. 5/18

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