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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 370 · 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 (−6/7) + 2/7? (a) −8/7 (b) 4/7 (c) −4/7 (d) −2/7
  2. 2.Is 7/9 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−3/5) − 8/9? (a) −11/14 (b) 67/45 (c) −67/45 (d) 13/45
  4. 4.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −8/12
  5. 5.What is (−5/7) + 2/3? (a) −3/10 (b) −1/21 (c) 1/21 (d) −29/21
  6. 6.Which is smaller: −7/9 or −3/4? (a) −3/4 (b) −7/9
  7. 7.Which is bigger: −5/8 or −2/7? (a) −2/7 (b) −5/8
  8. 8.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −2/8 (b) −4/1 (c) −1/4 (d) 1/4
  9. 9.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) −5/4 (d) 4/5
  10. 10.Write −5/30 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −5/30 (d) −1/6
  11. 11.What is (−1/5) + 7/9? (a) 26/45 (b) 3/7 (c) −44/45 (d) −26/45
  12. 12.Which is smaller: −3/8 or −8/9? (a) −3/8 (b) −8/9
  13. 13.What is 3/5 − (−1/8)? (a) −29/40 (b) 29/40 (c) 19/40 (d) 4/13
  14. 14.What is the reciprocal (multiplicative inverse) of −4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  15. 15.Which is smaller: −8/9 or 4/9? (a) 4/9 (b) −8/9
  16. 16.Which is bigger: −3/7 or −4/7? (a) −3/7 (b) −4/7
  17. 17.What is 4/9 + (−1/4)? (a) 25/36 (b) 7/36 (c) 3/13 (d) −7/36
  18. 18.Which is bigger: −4/5 or −2/5? (a) −4/5 (b) −2/5
  19. 19.Which is smaller: −5/9 or −1/5? (a) −5/9 (b) −1/5
  20. 20.Which is smaller: −3/7 or −2/9? (a) −3/7 (b) −2/9
  21. 21.What is (−1/4) − (−1/6)? (a) 1/12 (b) 0 (c) −1/12 (d) −5/12
  22. 22.What is 1/3 − (−1/9)? (a) −4/9 (b) 4/9 (c) 1/6 (d) 2/9
  23. 23.Is 8/5 positive or negative? (a) Positive (b) Negative
  24. 24.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −15/20
  25. 25.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  26. 26.Is 7/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  28. 28.Is −1/2 positive or negative? (a) Positive (b) Negative
  29. 29.What is 1/2 − (−2/9)? (a) 3/11 (b) 13/18 (c) −13/18 (d) 5/18
  30. 30.What is (−7/9) − (−1/2)? (a) −23/18 (b) −5/18 (c) −6/11 (d) 5/18
  31. 31.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  32. 32.What is (−3/5) + 2/3? (a) −1/15 (b) −1/8 (c) −19/15 (d) 1/15
  33. 33.Which is smaller: −1/4 or 4/7? (a) 4/7 (b) −1/4
  34. 34.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  36. 36.What is 1/2 + (−4/9)? (a) −3/11 (b) 17/18 (c) −1/18 (d) 1/18
  37. 37.Which is bigger: −2/3 or 5/6? (a) −2/3 (b) 5/6
  38. 38.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −4/16 (c) 1/4 (d) −1/4
  39. 39.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −5/1 (d) −1/5
  40. 40.Which is bigger: −1/7 or −2/5? (a) −1/7 (b) −2/5

Answer key

  1. −4/7
  2. Positive
  3. −67/45
  4. −2/3
  5. −1/21
  6. −7/9
  7. −2/7
  8. −1/4
  9. −5/4
  10. −1/6
  11. 26/45
  12. −8/9
  13. 29/40
  14. −7/4
  15. −8/9
  16. −3/7
  17. 7/36
  18. −2/5
  19. −5/9
  20. −3/7
  21. −1/12
  22. 4/9
  23. Positive
  24. −3/4
  25. 3/2
  26. Negative
  27. −3
  28. Negative
  29. 13/18
  30. −5/18
  31. −2
  32. 1/15
  33. −1/4
  34. Positive
  35. Positive
  36. 1/18
  37. 5/6
  38. −1/4
  39. −1/5
  40. −1/7

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