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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 642 · 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 the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −8/9 (c) −9/8 (d) 8/9
  2. 2.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −15/24 (d) −5/8
  3. 3.What is 1/8 + (−2/7)? (a) 9/56 (b) −1/15 (c) 23/56 (d) −9/56
  4. 4.What is 3/4 + (−1/4)? (a) 1/2 (b) −1/2 (c) 1 (d) 1/4
  5. 5.What is 5/7 − (−1/4)? (a) 13/28 (b) 6/11 (c) 27/28 (d) −27/28
  6. 6.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  7. 7.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −20/24 (c) −5/6 (d) 5/6
  8. 8.Which is bigger: −2/5 or −2/7? (a) −2/5 (b) −2/7
  9. 9.Is −6/5 positive or negative? (a) Positive (b) Negative
  10. 10.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −5/15 (d) −3/1
  11. 11.Is 5/3 positive or negative? (a) Negative (b) Positive
  12. 12.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −35/45 (d) 7/9
  13. 13.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  14. 14.Is 2/7 positive or negative? (a) Negative (b) Positive
  15. 15.Is −9/2 positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −3/5 or 3/7? (a) 3/7 (b) −3/5
  17. 17.What is (−4/9) + 8/9? (a) 4/9 (b) 2/9 (c) −4/3 (d) −4/9
  18. 18.What is (−5/9) + 5/9? (a) −10/9 (b) 0
  19. 19.What is the additive inverse of 1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  20. 20.What is the additive inverse of −1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  21. 21.Which is bigger: −1/2 or −7/9? (a) −1/2 (b) −7/9
  22. 22.Which is smaller: −2/5 or −2/9? (a) −2/9 (b) −2/5
  23. 23.Which is bigger: −2/9 or 3/5? (a) −2/9 (b) 3/5
  24. 24.Write −5/40 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −5/40 (d) −8/1
  25. 25.What is 6/7 + (−4/7)? (a) 1/7 (b) 2/7 (c) −2/7 (d) 10/7
  26. 26.What is (−5/9) − (−5/8)? (a) −85/72 (b) 0 (c) −5/72 (d) 5/72
  27. 27.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  28. 28.Is 1/5 positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  30. 30.Which is bigger: −3/8 or −1/4? (a) −1/4 (b) −3/8
  31. 31.What is (−1/4) − (−4/5)? (a) −11/20 (b) −21/20 (c) 1/3 (d) 11/20
  32. 32.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) −5/4 (c) 5/4 (d) −4/5
  33. 33.What is (−7/8) + 1/7? (a) −2/5 (b) −57/56 (c) −41/56 (d) 41/56
  34. 34.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  35. 35.What is (−3/8) − (−1/8)? (a) −1/2 (b) −1/4 (c) −1/8 (d) 1/4
  36. 36.Is −5/7 positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  38. 38.Which is bigger: −3/7 or 1/7? (a) −3/7 (b) 1/7
  39. 39.What is 2/3 + (−2/5)? (a) 16/15 (b) 0 (c) −4/15 (d) 4/15
  40. 40.Which is smaller: −3/7 or −2/7? (a) −3/7 (b) −2/7

Answer key

  1. 9/8
  2. −5/8
  3. −9/56
  4. 1/2
  5. 27/28
  6. −9/8
  7. −5/6
  8. −2/7
  9. Negative
  10. −1/3
  11. Positive
  12. −7/9
  13. 7/3
  14. Positive
  15. Negative
  16. −3/5
  17. 4/9
  18. 0
  19. −1/5
  20. 1/4
  21. −1/2
  22. −2/5
  23. 3/5
  24. −1/8
  25. 2/7
  26. 5/72
  27. 3/2
  28. Positive
  29. −7
  30. −1/4
  31. 11/20
  32. 5/4
  33. −41/56
  34. 7/6
  35. −1/4
  36. Negative
  37. −8/7
  38. 1/7
  39. 4/15
  40. −3/7

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