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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 333 · 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 + (−1/4)? (a) 31/28 (b) 17/28 (c) 5/11 (d) −17/28
  2. 2.What is the additive inverse of 4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  3. 3.What is 1/7 + (−4/9)? (a) −3/16 (b) 19/63 (c) 37/63 (d) −19/63
  4. 4.Which is smaller: −3/7 or −5/7? (a) −5/7 (b) −3/7
  5. 5.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −18/24
  6. 6.Which is bigger: −7/9 or −1/5? (a) −7/9 (b) −1/5
  7. 7.What is (−4/5) − (−3/4)? (a) −1/9 (b) −31/20 (c) −1/20 (d) 1/20
  8. 8.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  9. 9.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −5/40
  10. 10.What is (−4/9) − 2/3? (a) 2/9 (b) −1/2 (c) −10/9 (d) 10/9
  11. 11.What is 7/9 − (−1/5)? (a) −44/45 (b) 44/45 (c) 4/7 (d) 26/45
  12. 12.Which is bigger: −3/5 or −1/9? (a) −1/9 (b) −3/5
  13. 13.Is 2/(−6) positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −2/9 or 1/3? (a) 1/3 (b) −2/9
  15. 15.What is the additive inverse of 3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  16. 16.What is the additive inverse of 1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  17. 17.Is 6/5 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−4/9) − 1/5? (a) −11/45 (b) 29/45 (c) −5/14 (d) −29/45
  19. 19.Which is smaller: −5/9 or 8/9? (a) 8/9 (b) −5/9
  20. 20.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  21. 21.What is (−5/8) − 1/5? (a) −6/13 (b) −17/40 (c) −33/40 (d) 33/40
  22. 22.What is (−1/4) − (−5/7)? (a) −13/28 (b) −27/28 (c) 4/11 (d) 13/28
  23. 23.Which is smaller: −5/9 or 1/4? (a) 1/4 (b) −5/9
  24. 24.What is (−7/9) + 5/6? (a) 1/18 (b) −1/18 (c) −2/15 (d) −29/18
  25. 25.Is 5/4 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−3/4) − (−5/8)? (a) −11/8 (b) 1/8 (c) −1/8 (d) 1/6
  27. 27.What is (−1/3) − 1/3? (a) 2/3 (b) −1/3 (c) −2/3 (d) 0
  28. 28.What is 7/9 − (−3/7)? (a) 5/8 (b) −76/63 (c) 22/63 (d) 76/63
  29. 29.Which is bigger: −2/7 or 1/4? (a) −2/7 (b) 1/4
  30. 30.Which is smaller: −2/7 or −7/9? (a) −7/9 (b) −2/7
  31. 31.Which is smaller: −1/3 or 3/4? (a) 3/4 (b) −1/3
  32. 32.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  33. 33.Is 1/7 positive or negative? (a) Negative (b) Positive
  34. 34.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −3/12
  35. 35.What is 5/6 + (−5/9)? (a) −5/18 (b) 5/18 (c) 0 (d) 25/18
  36. 36.What is 2/5 + (−1/3)? (a) 1/15 (b) −1/15 (c) 1/8 (d) 11/15
  37. 37.What is (−4/5) + 3/7? (a) 13/35 (b) −1/12 (c) −43/35 (d) −13/35
  38. 38.What is (−7/9) − (−2/3)? (a) −13/9 (b) −1/9 (c) 1/9 (d) −5/12
  39. 39.What is (−1/5) − (−3/4)? (a) 11/20 (b) 2/9 (c) −11/20 (d) −19/20
  40. 40.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −6/15 (d) −2/5

Answer key

  1. 17/28
  2. −4/5
  3. −19/63
  4. −5/7
  5. −3/4
  6. −1/5
  7. −1/20
  8. 4/3
  9. −1/8
  10. −10/9
  11. 44/45
  12. −1/9
  13. Negative
  14. 1/3
  15. −3/4
  16. −1/5
  17. Positive
  18. −29/45
  19. −5/9
  20. 2/9
  21. −33/40
  22. 13/28
  23. −5/9
  24. 1/18
  25. Positive
  26. −1/8
  27. −2/3
  28. 76/63
  29. 1/4
  30. −7/9
  31. −1/3
  32. Negative
  33. Positive
  34. −1/4
  35. 5/18
  36. 1/15
  37. −13/35
  38. −1/9
  39. 11/20
  40. −2/5

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