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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 515 · 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 4/7 − (−7/8)? (a) 81/56 (b) 11/15 (c) −17/56 (d) −81/56
  2. 2.What is 2/5 + (−3/4)? (a) −7/20 (b) 23/20 (c) −1/9 (d) 7/20
  3. 3.Which is smaller: −3/7 or 1/2? (a) −3/7 (b) 1/2
  4. 4.What is (−1/6) + 7/8? (a) 3/7 (b) −25/24 (c) −17/24 (d) 17/24
  5. 5.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  6. 6.What is (−3/7) + 4/5? (a) −13/35 (b) −43/35 (c) 1/12 (d) 13/35
  7. 7.What is (−3/5) + (−6/7)? (a) −3/4 (b) 51/35 (c) 9/35 (d) −51/35
  8. 8.What is (−2/9) + 2/7? (a) −4/63 (b) 4/63 (c) −32/63 (d) 0
  9. 9.What is the additive inverse of −1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  10. 10.What is 4/9 − (−4/9)? (a) 0 (b) 8/9 (c) −8/9 (d) 4/9
  11. 11.What is (−1/7) − 7/9? (a) −1/2 (b) 58/63 (c) 40/63 (d) −58/63
  12. 12.What is the additive inverse of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  13. 13.Which is bigger: −7/9 or −2/5? (a) −7/9 (b) −2/5
  14. 14.Which is bigger: −3/8 or −4/7? (a) −3/8 (b) −4/7
  15. 15.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  16. 16.What is (−2/7) − (−7/8)? (a) 1/3 (b) 33/56 (c) −33/56 (d) −65/56
  17. 17.Is 1/7 positive or negative? (a) Positive (b) Negative
  18. 18.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  19. 19.Is 8/8 positive or negative? (a) Positive (b) Negative
  20. 20.What is 3/8 − (−6/7)? (a) −69/56 (b) −27/56 (c) 69/56 (d) 3/5
  21. 21.What is the additive inverse of −1/4? (a) −1/4 (b) 4 (c) 1/4 (d) −4
  22. 22.What is (−4/5) − (−4/7)? (a) 8/35 (b) −48/35 (c) −8/35 (d) 0
  23. 23.What is (−3/7) + (−3/8)? (a) 45/56 (b) −3/56 (c) −45/56 (d) −2/5
  24. 24.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) 5/7 (c) −7/5 (d) −5/7
  25. 25.Is −8/3 positive or negative? (a) Positive (b) Negative
  26. 26.Which is bigger: −2/3 or 5/8? (a) −2/3 (b) 5/8
  27. 27.What is (−5/7) + (−4/7)? (a) −1/7 (b) −9/14 (c) 9/7 (d) −9/7
  28. 28.Which is bigger: −2/5 or −1/4? (a) −2/5 (b) −1/4
  29. 29.What is (−1/9) + 1/3? (a) −4/9 (b) 0 (c) −2/9 (d) 2/9
  30. 30.What is (−3/7) − 2/3? (a) 23/21 (b) −1/2 (c) 5/21 (d) −23/21
  31. 31.Which is bigger: −2/9 or −5/6? (a) −2/9 (b) −5/6
  32. 32.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) −9 (c) 9 (d) 1/9
  33. 33.Is 9/9 positive or negative? (a) Positive (b) Negative
  34. 34.Is −2/(−6) positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −5/7 or 2/7? (a) 2/7 (b) −5/7
  36. 36.Is −1/5 positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −1/9 or 8/9? (a) −1/9 (b) 8/9
  38. 38.Which is bigger: −7/9 or 1/3? (a) −7/9 (b) 1/3
  39. 39.Which is smaller: −2/3 or 1/7? (a) 1/7 (b) −2/3
  40. 40.Write −12/27 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −12/27 (d) −9/4

Answer key

  1. 81/56
  2. −7/20
  3. −3/7
  4. 17/24
  5. −8/3
  6. 13/35
  7. −51/35
  8. 4/63
  9. 1/3
  10. 8/9
  11. −58/63
  12. −3/5
  13. −2/5
  14. −3/8
  15. 7/8
  16. 33/56
  17. Positive
  18. Positive
  19. Positive
  20. 69/56
  21. 1/4
  22. −8/35
  23. −45/56
  24. −5/7
  25. Negative
  26. 5/8
  27. −9/7
  28. −1/4
  29. 2/9
  30. −23/21
  31. −2/9
  32. 9
  33. Positive
  34. Positive
  35. −5/7
  36. Negative
  37. −1/9
  38. 1/3
  39. −2/3
  40. −4/9

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