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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 576 · 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 −3/12 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −3/12 (c) 1/4 (d) −4/1
  2. 2.Which is smaller: −2/7 or −1/4? (a) −1/4 (b) −2/7
  3. 3.Which is smaller: −3/7 or 5/7? (a) 5/7 (b) −3/7
  4. 4.Which is bigger: −5/9 or −7/8? (a) −7/8 (b) −5/9
  5. 5.Which is bigger: −7/8 or 3/4? (a) 3/4 (b) −7/8
  6. 6.Which is smaller: −7/9 or −4/9? (a) −7/9 (b) −4/9
  7. 7.What is 3/5 − (−3/5)? (a) 0 (b) 3/5 (c) −6/5 (d) 6/5
  8. 8.Which is bigger: −1/2 or −1/4? (a) −1/4 (b) −1/2
  9. 9.What is (−1/8) + (−3/8)? (a) 1/2 (b) −1/2 (c) −1/4 (d) 1/4
  10. 10.What is 7/8 − (−3/7)? (a) 25/56 (b) 2/3 (c) −73/56 (d) 73/56
  11. 11.What is (−1/7) − (−3/4)? (a) 2/11 (b) 17/28 (c) −17/28 (d) −25/28
  12. 12.Is 5/9 positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of −1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  14. 14.What is 1/9 − (−3/4)? (a) −31/36 (b) 4/13 (c) 31/36 (d) −23/36
  15. 15.Which is smaller: −2/9 or −6/7? (a) −2/9 (b) −6/7
  16. 16.What is (−7/9) − (−2/3)? (a) −5/12 (b) −1/9 (c) 1/9 (d) −13/9
  17. 17.What is the additive inverse of 1/9? (a) −9 (b) 1/9 (c) −1/9 (d) 9
  18. 18.What is (−2/9) − (−2/5)? (a) −28/45 (b) 8/45 (c) −8/45 (d) 0
  19. 19.What is (−8/9) + 2/3? (a) 2/9 (b) −1/2 (c) −2/9 (d) −14/9
  20. 20.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −15/24 (c) −8/5 (d) 5/8
  21. 21.What is (−5/9) − 2/7? (a) 53/63 (b) −17/63 (c) −7/16 (d) −53/63
  22. 22.Is −2/6 positive or negative? (a) Negative (b) Positive
  23. 23.Which is smaller: −1/6 or −3/4? (a) −3/4 (b) −1/6
  24. 24.What is 4/5 − (−1/6)? (a) 5/11 (b) 29/30 (c) −29/30 (d) 19/30
  25. 25.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  26. 26.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −20/24 (b) 5/6 (c) −6/5 (d) −5/6
  27. 27.What is (−5/7) − (−6/7)? (a) 1/7 (b) 1/14 (c) −11/7 (d) −1/7
  28. 28.Which is smaller: −1/3 or −7/8? (a) −1/3 (b) −7/8
  29. 29.What is (−1/5) − (−6/7)? (a) 5/12 (b) −37/35 (c) 23/35 (d) −23/35
  30. 30.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  31. 31.What is (−1/5) − 1/5? (a) 2/5 (b) 0 (c) −1/5 (d) −2/5
  32. 32.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −20/25 (d) −5/4
  33. 33.What is (−5/7) − 3/7? (a) −8/7 (b) −2/7 (c) −4/7 (d) 8/7
  34. 34.What is (−6/7) − 1/2? (a) 19/14 (b) −19/14 (c) −7/9 (d) −5/14
  35. 35.What is 1/6 + (−1/4)? (a) 5/12 (b) −1/12 (c) 1/12 (d) 0
  36. 36.Write −48/54 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −48/54
  37. 37.Which is smaller: −1/3 or 1/9? (a) 1/9 (b) −1/3
  38. 38.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/16 (d) −4/1
  40. 40.What is (−2/9) + (−3/4)? (a) 35/36 (b) 19/36 (c) −35/36 (d) −5/13

Answer key

  1. −1/4
  2. −2/7
  3. −3/7
  4. −5/9
  5. 3/4
  6. −7/9
  7. 6/5
  8. −1/4
  9. −1/2
  10. 73/56
  11. 17/28
  12. Positive
  13. 1/8
  14. 31/36
  15. −6/7
  16. −1/9
  17. −1/9
  18. 8/45
  19. −2/9
  20. −5/8
  21. −53/63
  22. Negative
  23. −3/4
  24. 29/30
  25. −1/3
  26. −5/6
  27. 1/7
  28. −7/8
  29. 23/35
  30. 8/5
  31. −2/5
  32. −4/5
  33. −8/7
  34. −19/14
  35. −1/12
  36. −8/9
  37. −1/3
  38. Positive
  39. −1/4
  40. −35/36

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