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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 125 · 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.Write −5/20 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −5/20 (c) −1/4 (d) −4/1
  2. 2.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −10/25
  3. 3.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −30/48 (d) −5/8
  4. 4.Write −12/18 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −12/18 (d) −2/3
  5. 5.What is (−1/4) + 2/9? (a) −17/36 (b) −1/36 (c) 1/36 (d) 1/13
  6. 6.What is 1/8 + (−1/4)? (a) 3/8 (b) 1/8 (c) 0 (d) −1/8
  7. 7.Which is bigger: −5/8 or −7/9? (a) −5/8 (b) −7/9
  8. 8.What is the additive inverse of 6/7? (a) 6/7 (b) 7/6 (c) −6/7 (d) −7/6
  9. 9.Which is smaller: −7/8 or 1/8? (a) 1/8 (b) −7/8
  10. 10.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  11. 11.Write −3/15 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −3/15 (c) −1/5 (d) −5/1
  12. 12.What is 4/5 + (−3/8)? (a) 17/40 (b) 47/40 (c) 1/13 (d) −17/40
  13. 13.Is −3/2 positive or negative? (a) Positive (b) Negative
  14. 14.Is −8/8 positive or negative? (a) Negative (b) Positive
  15. 15.Write −3/24 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −3/24 (c) 1/8 (d) −8/1
  16. 16.What is (−2/5) − (−1/4)? (a) −13/20 (b) 3/20 (c) −1/9 (d) −3/20
  17. 17.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  18. 18.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −28/36 (d) 7/9
  19. 19.Which is smaller: −1/5 or 2/7? (a) −1/5 (b) 2/7
  20. 20.What is 2/3 + (−7/8)? (a) −5/24 (b) 5/24 (c) −5/11 (d) 37/24
  21. 21.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  22. 22.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −48/54
  23. 23.Which is bigger: −2/3 or −1/4? (a) −1/4 (b) −2/3
  24. 24.What is (−1/3) + 3/8? (a) 2/11 (b) −17/24 (c) −1/24 (d) 1/24
  25. 25.What is 3/7 − (−1/9)? (a) 20/63 (b) −34/63 (c) 34/63 (d) 1/4
  26. 26.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −3/5 or 1/7? (a) −3/5 (b) 1/7
  28. 28.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  29. 29.What is 3/4 − (−2/7)? (a) 29/28 (b) −29/28 (c) 13/28 (d) 5/11
  30. 30.Is −2/4 positive or negative? (a) Negative (b) Positive
  31. 31.Is −7/3 positive or negative? (a) Positive (b) Negative
  32. 32.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  33. 33.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  34. 34.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −25/40 (c) 5/8 (d) −5/8
  35. 35.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  37. 37.What is the additive inverse of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  38. 38.What is 2/9 + (−7/8)? (a) −5/17 (b) 79/72 (c) 47/72 (d) −47/72
  39. 39.What is 4/5 + (−2/9)? (a) 46/45 (b) 1/7 (c) 26/45 (d) −26/45
  40. 40.Which is bigger: −2/5 or −2/9? (a) −2/9 (b) −2/5

Answer key

  1. −1/4
  2. −2/5
  3. −5/8
  4. −2/3
  5. −1/36
  6. −1/8
  7. −5/8
  8. −6/7
  9. −7/8
  10. Negative
  11. −1/5
  12. 17/40
  13. Negative
  14. Negative
  15. −1/8
  16. −3/20
  17. Positive
  18. −7/9
  19. −1/5
  20. −5/24
  21. Negative
  22. −8/9
  23. −1/4
  24. 1/24
  25. 34/63
  26. Positive
  27. 1/7
  28. 3
  29. 29/28
  30. Negative
  31. Negative
  32. −2/7
  33. Positive
  34. −5/8
  35. Negative
  36. −3/2
  37. −7/8
  38. −47/72
  39. 26/45
  40. −2/9

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