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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 584 · 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 (−3/4) + 1/2? (a) −5/4 (b) −1/3 (c) −1/4 (d) 1/4
  2. 2.Which is bigger: −2/5 or −5/7? (a) −5/7 (b) −2/5
  3. 3.What is (−3/4) + (−5/6)? (a) 19/12 (b) −4/5 (c) −19/12 (d) 1/12
  4. 4.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  5. 5.What is (−8/9) − (−1/3)? (a) −7/12 (b) −11/9 (c) 5/9 (d) −5/9
  6. 6.What is (−1/5) − (−3/7)? (a) −8/35 (b) 1/6 (c) −22/35 (d) 8/35
  7. 7.Which is smaller: −3/7 or 2/5? (a) −3/7 (b) 2/5
  8. 8.Write −10/25 in standard form (lowest terms, positive denominator). (a) −10/25 (b) −5/2 (c) 2/5 (d) −2/5
  9. 9.Which is bigger: −1/2 or −3/4? (a) −1/2 (b) −3/4
  10. 10.Write −42/54 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −42/54 (d) −7/9
  11. 11.What is (−4/5) + 1/3? (a) 7/15 (b) −3/8 (c) −7/15 (d) −17/15
  12. 12.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −1/5 (c) 1/5 (d) −5/1
  13. 13.What is (−8/9) + (−8/9)? (a) −16/9 (b) 16/9 (c) −8/9 (d) 0
  14. 14.Is 3/7 positive or negative? (a) Negative (b) Positive
  15. 15.Is 1/8 positive or negative? (a) Negative (b) Positive
  16. 16.Which is smaller: −4/9 or 3/7? (a) 3/7 (b) −4/9
  17. 17.Is 7/4 positive or negative? (a) Positive (b) Negative
  18. 18.What is 1/5 + (−2/3)? (a) 13/15 (b) −1/8 (c) 7/15 (d) −7/15
  19. 19.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  20. 20.Is −8/9 positive or negative? (a) Positive (b) Negative
  21. 21.Is 2/(−8) positive or negative? (a) Negative (b) Positive
  22. 22.Which is smaller: −7/9 or 4/5? (a) −7/9 (b) 4/5
  23. 23.Which is bigger: −1/4 or −1/2? (a) −1/2 (b) −1/4
  24. 24.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) 4/9 (c) −9/4 (d) −4/9
  25. 25.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −3/4 (c) 3/4 (d) −4/3
  26. 26.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −12/21
  27. 27.What is (−4/7) + 2/5? (a) −34/35 (b) −6/35 (c) 6/35 (d) −1/6
  28. 28.Which is bigger: −3/8 or −8/9? (a) −8/9 (b) −3/8
  29. 29.What is (−7/8) + 2/5? (a) −5/13 (b) 19/40 (c) −51/40 (d) −19/40
  30. 30.What is 1/3 − (−1/3)? (a) 1/3 (b) −2/3 (c) 2/3 (d) 0
  31. 31.What is (−1/5) − (−2/5)? (a) 1/5 (b) −3/5 (c) 1/10 (d) −1/5
  32. 32.Which is bigger: −5/7 or 4/9? (a) −5/7 (b) 4/9
  33. 33.Which is bigger: −3/5 or 1/2? (a) 1/2 (b) −3/5
  34. 34.Is −8/4 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−2/7) + 5/6? (a) −23/42 (b) 3/13 (c) 23/42 (d) −47/42
  36. 36.What is (−1/4) + 3/7? (a) −19/28 (b) −5/28 (c) 2/11 (d) 5/28
  37. 37.Which is smaller: −2/7 or −5/7? (a) −5/7 (b) −2/7
  38. 38.What is the additive inverse of 2/7? (a) 2/7 (b) 7/2 (c) −7/2 (d) −2/7
  39. 39.Is −8/6 positive or negative? (a) Positive (b) Negative
  40. 40.Is 4/2 positive or negative? (a) Positive (b) Negative

Answer key

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

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