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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 11 · 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 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −3/15 (c) 1/5 (d) −5/1
  2. 2.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  3. 3.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −25/35 (d) −7/5
  4. 4.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  5. 5.What is 4/9 + (−4/9)? (a) 8/9 (b) 0
  6. 6.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −8/36 (d) −2/9
  7. 7.Which is bigger: −5/8 or 2/5? (a) −5/8 (b) 2/5
  8. 8.What is 3/5 + (−3/8)? (a) 39/40 (b) 0 (c) 9/40 (d) −9/40
  9. 9.Is −1/6 positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of −1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7
  11. 11.What is 1/2 + (−5/7)? (a) −4/9 (b) 17/14 (c) 3/14 (d) −3/14
  12. 12.What is (−2/7) + 5/9? (a) 3/16 (b) 17/63 (c) −17/63 (d) −53/63
  13. 13.What is (−7/8) − 5/6? (a) −1/24 (b) 41/24 (c) −41/24 (d) −6/7
  14. 14.Which is bigger: −4/7 or 2/3? (a) 2/3 (b) −4/7
  15. 15.What is the additive inverse of 1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  16. 16.What is 1/5 − (−7/8)? (a) −43/40 (b) 43/40 (c) −27/40 (d) 8/13
  17. 17.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) 1/4 (c) −4/1 (d) −1/4
  18. 18.What is the reciprocal (multiplicative inverse) of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  19. 19.What is the additive inverse of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  20. 20.Which is smaller: −4/7 or −3/7? (a) −4/7 (b) −3/7
  21. 21.What is (−1/7) + (−4/9)? (a) 37/63 (b) 19/63 (c) −37/63 (d) −5/16
  22. 22.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  23. 23.Which is smaller: −2/7 or −5/8? (a) −5/8 (b) −2/7
  24. 24.What is 1/3 − (−3/7)? (a) −2/21 (b) −16/21 (c) 2/5 (d) 16/21
  25. 25.What is the additive inverse of 3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  26. 26.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  27. 27.What is (−1/2) + 3/4? (a) −1/4 (b) −5/4 (c) 1/3 (d) 1/4
  28. 28.What is (−5/8) + 3/4? (a) −11/8 (b) −1/6 (c) −1/8 (d) 1/8
  29. 29.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  30. 30.Which is bigger: −5/7 or 8/9? (a) 8/9 (b) −5/7
  31. 31.What is (−2/9) + 5/7? (a) −59/63 (b) −31/63 (c) 3/16 (d) 31/63
  32. 32.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −16/18 (c) 8/9 (d) −8/9
  33. 33.Is 1/5 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−3/8) − 3/7? (a) −45/56 (b) 45/56 (c) 3/56 (d) −2/5
  35. 35.What is 1/5 − (−7/9)? (a) −26/45 (b) 44/45 (c) 4/7 (d) −44/45
  36. 36.What is the additive inverse of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  37. 37.Write −12/42 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −12/42 (d) −2/7
  38. 38.Is 8/(−8) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−1/6) + (−1/7)? (a) −1/42 (b) −2/13 (c) 13/42 (d) −13/42
  40. 40.Which is bigger: −1/8 or 3/5? (a) 3/5 (b) −1/8

Answer key

  1. −1/5
  2. 8/7
  3. −5/7
  4. Negative
  5. 0
  6. −2/9
  7. 2/5
  8. 9/40
  9. Negative
  10. 1/7
  11. −3/14
  12. 17/63
  13. −41/24
  14. 2/3
  15. −1/2
  16. 43/40
  17. −1/4
  18. −6/5
  19. 1/8
  20. −4/7
  21. −37/63
  22. −1/6
  23. −5/8
  24. 16/21
  25. −3/8
  26. Negative
  27. 1/4
  28. 1/8
  29. Positive
  30. 8/9
  31. 31/63
  32. −8/9
  33. Positive
  34. −45/56
  35. 44/45
  36. −6/7
  37. −2/7
  38. Negative
  39. −13/42
  40. 3/5

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