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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 897 · 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.Which is smaller: −5/7 or 3/5? (a) −5/7 (b) 3/5
  2. 2.Write −12/20 in standard form (lowest terms, positive denominator). (a) −12/20 (b) −5/3 (c) 3/5 (d) −3/5
  3. 3.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) 8/9 (c) −8/9 (d) −9/8
  4. 4.What is 1/6 + (−1/9)? (a) 5/18 (b) 1/18 (c) −1/18 (d) 0
  5. 5.What is (−4/9) + (−2/3)? (a) 2/9 (b) 10/9 (c) −10/9 (d) −1/2
  6. 6.What is (−1/2) + 2/3? (a) 1/5 (b) −1/6 (c) 1/6 (d) −7/6
  7. 7.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  8. 8.Which is bigger: −8/9 or −5/9? (a) −8/9 (b) −5/9
  9. 9.Which is smaller: −2/5 or −4/5? (a) −2/5 (b) −4/5
  10. 10.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  11. 11.Is 3/3 positive or negative? (a) Negative (b) Positive
  12. 12.Which is smaller: −5/6 or 2/7? (a) 2/7 (b) −5/6
  13. 13.Is −5/(−2) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−4/5) − (−1/3)? (a) −3/8 (b) −17/15 (c) 7/15 (d) −7/15
  15. 15.What is 3/5 − (−3/8)? (a) −39/40 (b) 9/40 (c) 6/13 (d) 39/40
  16. 16.Is −2/5 positive or negative? (a) Negative (b) Positive
  17. 17.Which is smaller: −4/7 or 1/2? (a) 1/2 (b) −4/7
  18. 18.What is (−1/8) − (−5/7)? (a) −47/56 (b) −33/56 (c) 33/56 (d) 4/15
  19. 19.Which is bigger: −5/8 or 5/6? (a) 5/6 (b) −5/8
  20. 20.Write −6/48 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −6/48 (c) −1/8 (d) −8/1
  21. 21.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −2/4 (d) −1/2
  22. 22.What is (−1/7) + 6/7? (a) −1 (b) 5/14 (c) −5/7 (d) 5/7
  23. 23.What is the additive inverse of −2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  24. 24.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −5/4 (d) −20/25
  25. 25.Which is bigger: −3/8 or −5/6? (a) −5/6 (b) −3/8
  26. 26.What is (−3/4) − 1/3? (a) −5/12 (b) −13/12 (c) −4/7 (d) 13/12
  27. 27.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −30/35 (d) −6/7
  28. 28.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  29. 29.Write −15/40 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −15/40 (d) −8/3
  30. 30.What is the additive inverse of 3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  31. 31.What is 2/9 − (−3/7)? (a) 5/16 (b) −41/63 (c) −13/63 (d) 41/63
  32. 32.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −5/6 or 2/5? (a) −5/6 (b) 2/5
  34. 34.Which is bigger: −1/8 or 3/7? (a) −1/8 (b) 3/7
  35. 35.What is the additive inverse of −3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  36. 36.Write −35/40 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −35/40
  37. 37.What is (−3/4) + (−4/5)? (a) −31/20 (b) 31/20 (c) 1/20 (d) −7/9
  38. 38.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −5/45 (d) −1/9
  39. 39.What is (−3/5) + 1/4? (a) −2/9 (b) 7/20 (c) −17/20 (d) −7/20
  40. 40.What is 2/3 − (−4/7)? (a) 3/5 (b) 2/21 (c) −26/21 (d) 26/21

Answer key

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

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