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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 122 · 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 (−4/5) − 2/3? (a) −3/4 (b) −2/15 (c) 22/15 (d) −22/15
  2. 2.What is (−3/7) + 1/3? (a) −16/21 (b) −1/5 (c) −2/21 (d) 2/21
  3. 3.What is the additive inverse of −6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  4. 4.What is (−2/5) + (−2/9)? (a) −28/45 (b) −8/45 (c) 28/45 (d) −2/7
  5. 5.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  6. 6.Which is bigger: −5/7 or 5/8? (a) −5/7 (b) 5/8
  7. 7.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  8. 8.Which is smaller: −1/6 or −1/2? (a) −1/6 (b) −1/2
  9. 9.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 4/7 (c) 7/4 (d) −7/4
  10. 10.Is 4/9 positive or negative? (a) Positive (b) Negative
  11. 11.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  12. 12.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) 2/7 (c) −2/7 (d) −7/2
  13. 13.What is (−2/3) + 2/5? (a) 4/15 (b) −4/15 (c) −16/15 (d) 0
  14. 14.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −8/10 (d) −5/4
  15. 15.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) −2/9 (c) 2/9 (d) −9/2
  16. 16.Is 3/8 positive or negative? (a) Positive (b) Negative
  17. 17.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −5/20 (c) −4/1 (d) 1/4
  18. 18.Which is smaller: −5/6 or −5/7? (a) −5/7 (b) −5/6
  19. 19.What is (−7/8) + 7/8? (a) −7/4 (b) 0
  20. 20.What is 2/3 − (−5/6)? (a) 7/9 (b) 3/2 (c) −3/2 (d) −1/6
  21. 21.What is (−4/9) + (−1/8)? (a) 41/72 (b) −23/72 (c) −41/72 (d) −5/17
  22. 22.Write −5/40 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −5/40 (d) −8/1
  23. 23.Write −36/42 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −36/42 (d) −6/7
  24. 24.Which is smaller: −8/9 or −5/8? (a) −8/9 (b) −5/8
  25. 25.What is (−3/7) + 1/2? (a) −1/14 (b) −13/14 (c) −2/9 (d) 1/14
  26. 26.What is (−1/7) + 3/4? (a) −17/28 (b) 17/28 (c) 2/11 (d) −25/28
  27. 27.What is (−1/3) − 6/7? (a) 11/21 (b) −25/21 (c) 25/21 (d) −7/10
  28. 28.Write −16/36 in standard form (lowest terms, positive denominator). (a) −16/36 (b) 4/9 (c) −4/9 (d) −9/4
  29. 29.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) −5/8 (c) −8/5 (d) 5/8
  30. 30.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −16/36 (b) −4/9 (c) −9/4 (d) 4/9
  31. 31.What is (−6/7) − (−3/4)? (a) −3/28 (b) −45/28 (c) −3/11 (d) 3/28
  32. 32.What is the additive inverse of −3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  33. 33.Which is bigger: −1/2 or 1/4? (a) 1/4 (b) −1/2
  34. 34.Which is smaller: −1/2 or −2/3? (a) −2/3 (b) −1/2
  35. 35.Write −8/12 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −8/12 (c) −3/2 (d) −2/3
  36. 36.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  37. 37.What is (−5/6) − 5/8? (a) −5/7 (b) −35/24 (c) 35/24 (d) −5/24
  38. 38.What is (−1/7) + 2/5? (a) −19/35 (b) 9/35 (c) −9/35 (d) 1/12
  39. 39.Is −4/7 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −7/8 or −1/9? (a) −1/9 (b) −7/8

Answer key

  1. −22/15
  2. −2/21
  3. 6/7
  4. −28/45
  5. −4/3
  6. 5/8
  7. −6/7
  8. −1/2
  9. −7/4
  10. Positive
  11. −5/9
  12. −2/7
  13. −4/15
  14. −4/5
  15. 9/2
  16. Positive
  17. −1/4
  18. −5/6
  19. 0
  20. 3/2
  21. −41/72
  22. −1/8
  23. −6/7
  24. −8/9
  25. 1/14
  26. 17/28
  27. −25/21
  28. −4/9
  29. −5/8
  30. −4/9
  31. −3/28
  32. 3/7
  33. 1/4
  34. −2/3
  35. −2/3
  36. 5/8
  37. −35/24
  38. 9/35
  39. Negative
  40. −1/9

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