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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 597 · 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 smaller: −5/6 or −5/8? (a) −5/6 (b) −5/8
  2. 2.What is (−3/4) + 1/4? (a) −1/4 (b) 1/2 (c) −1/2 (d) −1
  3. 3.What is the additive inverse of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  4. 4.What is (−3/8) + 4/5? (a) −17/40 (b) 17/40 (c) 1/13 (d) −47/40
  5. 5.Which is smaller: −2/3 or 1/5? (a) 1/5 (b) −2/3
  6. 6.What is 4/9 − (−2/5)? (a) 38/45 (b) −38/45 (c) 3/7 (d) 2/45
  7. 7.Write −18/42 in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −18/42 (d) −7/3
  8. 8.What is 3/8 − (−5/8)? (a) −1/4 (b) 1 (c) −1 (d) 1/2
  9. 9.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−3/8) − (−2/7)? (a) 5/56 (b) −5/56 (c) −1/15 (d) −37/56
  11. 11.What is (−2/5) − 2/3? (a) 4/15 (b) 16/15 (c) −1/2 (d) −16/15
  12. 12.Which is bigger: −3/8 or −1/4? (a) −3/8 (b) −1/4
  13. 13.What is 5/7 + (−7/8)? (a) 9/56 (b) 89/56 (c) −9/56 (d) −2/15
  14. 14.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  15. 15.Is −2/5 positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −2/9 or 2/3? (a) −2/9 (b) 2/3
  17. 17.Which is smaller: −6/7 or −4/5? (a) −4/5 (b) −6/7
  18. 18.Which is bigger: −4/7 or −1/9? (a) −1/9 (b) −4/7
  19. 19.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  20. 20.Which is bigger: −4/5 or −5/7? (a) −4/5 (b) −5/7
  21. 21.Which is smaller: −2/3 or −4/9? (a) −4/9 (b) −2/3
  22. 22.Which is bigger: −3/5 or −5/9? (a) −3/5 (b) −5/9
  23. 23.Write −48/54 in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −9/8 (d) −48/54
  24. 24.What is (−1/8) − 1/9? (a) −2/17 (b) −17/72 (c) 17/72 (d) −1/72
  25. 25.What is (−2/3) − 2/5? (a) −4/15 (b) −16/15 (c) −1/2 (d) 16/15
  26. 26.What is (−7/8) − (−2/7)? (a) −33/56 (b) −65/56 (c) −1/3 (d) 33/56
  27. 27.Which is bigger: −6/7 or 8/9? (a) −6/7 (b) 8/9
  28. 28.What is (−2/9) + 4/7? (a) −50/63 (b) 1/8 (c) −22/63 (d) 22/63
  29. 29.Which is bigger: −2/5 or 1/9? (a) 1/9 (b) −2/5
  30. 30.Is −4/(−9) positive or negative? (a) Positive (b) Negative
  31. 31.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  32. 32.What is 5/6 − (−2/9)? (a) 7/15 (b) 19/18 (c) −19/18 (d) 11/18
  33. 33.Which is smaller: −5/9 or −5/8? (a) −5/9 (b) −5/8
  34. 34.What is (−2/3) − (−7/9)? (a) −1/9 (b) −13/9 (c) 5/12 (d) 1/9
  35. 35.Which is smaller: −1/7 or −3/5? (a) −1/7 (b) −3/5
  36. 36.Which is bigger: −2/5 or −4/9? (a) −4/9 (b) −2/5
  37. 37.What is 4/9 + (−2/5)? (a) −2/45 (b) 1/7 (c) 2/45 (d) 38/45
  38. 38.What is the additive inverse of 5/7? (a) −7/5 (b) 5/7 (c) −5/7 (d) 7/5
  39. 39.Which is bigger: −5/8 or 8/9? (a) −5/8 (b) 8/9
  40. 40.What is (−1/2) + (−8/9)? (a) 7/18 (b) −9/11 (c) 25/18 (d) −25/18

Answer key

  1. −5/6
  2. −1/2
  3. 4/7
  4. 17/40
  5. −2/3
  6. 38/45
  7. −3/7
  8. 1
  9. Negative
  10. −5/56
  11. −16/15
  12. −1/4
  13. −9/56
  14. Negative
  15. Negative
  16. 2/3
  17. −6/7
  18. −1/9
  19. −2/5
  20. −5/7
  21. −2/3
  22. −5/9
  23. −8/9
  24. −17/72
  25. −16/15
  26. −33/56
  27. 8/9
  28. 22/63
  29. 1/9
  30. Positive
  31. Positive
  32. 19/18
  33. −5/8
  34. 1/9
  35. −3/5
  36. −2/5
  37. 2/45
  38. −5/7
  39. 8/9
  40. −25/18

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