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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 583 · 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 (−7/8) + 2/7? (a) 33/56 (b) −33/56 (c) −1/3 (d) −65/56
  2. 2.What is (−1/6) − (−2/5)? (a) 7/30 (b) 1/11 (c) −17/30 (d) −7/30
  3. 3.Is 8/2 positive or negative? (a) Positive (b) Negative
  4. 4.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −6/8 (d) −3/4
  5. 5.What is 1/7 + (−5/9)? (a) 44/63 (b) 26/63 (c) −1/4 (d) −26/63
  6. 6.What is (−1/9) + 1/9? (a) 0 (b) −2/9
  7. 7.What is (−3/4) + (−8/9)? (a) 5/36 (b) −11/13 (c) −59/36 (d) 59/36
  8. 8.Which is bigger: −1/4 or −5/7? (a) −5/7 (b) −1/4
  9. 9.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) 3/5 (d) −3/5
  10. 10.Is 1/5 positive or negative? (a) Negative (b) Positive
  11. 11.What is 2/3 + (−4/7)? (a) −1/5 (b) 26/21 (c) 2/21 (d) −2/21
  12. 12.What is (−4/5) + 7/9? (a) 3/14 (b) −71/45 (c) 1/45 (d) −1/45
  13. 13.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  14. 14.Is 2/2 positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of −5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  16. 16.What is 2/3 + (−2/7)? (a) 0 (b) 8/21 (c) 20/21 (d) −8/21
  17. 17.What is (−1/8) − (−5/7)? (a) −47/56 (b) 4/15 (c) −33/56 (d) 33/56
  18. 18.What is 1/6 − (−4/5)? (a) −19/30 (b) 29/30 (c) 5/11 (d) −29/30
  19. 19.What is (−1/8) − 7/8? (a) 3/4 (b) 1 (c) −1 (d) −1/2
  20. 20.Which is bigger: −1/9 or 3/8? (a) 3/8 (b) −1/9
  21. 21.Which is bigger: −5/6 or 2/3? (a) −5/6 (b) 2/3
  22. 22.What is (−3/7) − 5/6? (a) 53/42 (b) −53/42 (c) 17/42 (d) −8/13
  23. 23.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −1/3 (c) 1/3 (d) −3/1
  24. 24.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −24/42
  25. 25.What is the additive inverse of 2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  26. 26.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) −1/5 (c) −5/1 (d) 1/5
  27. 27.Which is bigger: −5/7 or 3/8? (a) −5/7 (b) 3/8
  28. 28.Is −3/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.What is (−1/3) + 1/7? (a) −4/21 (b) −10/21 (c) 4/21 (d) 0
  30. 30.Which is smaller: −5/8 or −4/7? (a) −4/7 (b) −5/8
  31. 31.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  32. 32.Is −8/4 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/3) − (−1/9)? (a) 0 (b) −4/9 (c) 2/9 (d) −2/9
  34. 34.Which is bigger: −5/6 or 1/6? (a) −5/6 (b) 1/6
  35. 35.Which is bigger: −5/6 or 5/7? (a) −5/6 (b) 5/7
  36. 36.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) 3/7 (d) −7/3
  37. 37.Write −12/42 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −12/42 (d) 2/7
  38. 38.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −18/30 (b) 3/5 (c) −3/5 (d) −5/3
  39. 39.What is (−1/9) − (−3/7)? (a) 20/63 (b) 1/8 (c) −34/63 (d) −20/63
  40. 40.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −15/27 (b) −9/5 (c) −5/9 (d) 5/9

Answer key

  1. −33/56
  2. 7/30
  3. Positive
  4. −3/4
  5. −26/63
  6. 0
  7. −59/36
  8. −1/4
  9. −3/5
  10. Positive
  11. 2/21
  12. −1/45
  13. Negative
  14. Positive
  15. 5/6
  16. 8/21
  17. 33/56
  18. 29/30
  19. −1
  20. 3/8
  21. 2/3
  22. −53/42
  23. −1/3
  24. −4/7
  25. −2/3
  26. −1/5
  27. 3/8
  28. Positive
  29. −4/21
  30. −5/8
  31. Positive
  32. Negative
  33. −2/9
  34. 1/6
  35. 5/7
  36. −3/7
  37. −2/7
  38. −3/5
  39. 20/63
  40. −5/9

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