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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 937 · 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 −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) 8/9 (c) −8/9 (d) −9/8
  2. 2.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) 2/7 (d) −8/28
  3. 3.Write −10/35 in standard form (lowest terms, positive denominator). (a) −10/35 (b) −7/2 (c) −2/7 (d) 2/7
  4. 4.What is 4/9 − (−3/4)? (a) −11/36 (b) 43/36 (c) 7/13 (d) −43/36
  5. 5.Which is bigger: −1/6 or 1/2? (a) 1/2 (b) −1/6
  6. 6.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −10/12
  7. 7.Which is smaller: −3/4 or −6/7? (a) −6/7 (b) −3/4
  8. 8.What is (−1/3) + (−4/7)? (a) 5/21 (b) −1/2 (c) −19/21 (d) 19/21
  9. 9.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  10. 10.What is 1/3 − (−1/9)? (a) −4/9 (b) 1/6 (c) 4/9 (d) 2/9
  11. 11.Write −28/36 in standard form (lowest terms, positive denominator). (a) −28/36 (b) 7/9 (c) −9/7 (d) −7/9
  12. 12.What is 5/6 − (−3/5)? (a) 43/30 (b) 8/11 (c) 7/30 (d) −43/30
  13. 13.What is (−1/7) − 3/8? (a) −4/15 (b) 29/56 (c) 13/56 (d) −29/56
  14. 14.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) 9 (c) −1/9 (d) −9
  15. 15.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  16. 16.What is (−1/8) + 3/8? (a) 1/4 (b) −1/4 (c) 1/8 (d) −1/2
  17. 17.Which is smaller: −5/8 or −4/9? (a) −5/8 (b) −4/9
  18. 18.Is 8/4 positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −4/9 or 3/4? (a) 3/4 (b) −4/9
  20. 20.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −14/16 (b) −7/8 (c) −8/7 (d) 7/8
  21. 21.What is 6/7 − (−3/7)? (a) 3/7 (b) 9/14 (c) −9/7 (d) 9/7
  22. 22.Is 2/5 positive or negative? (a) Negative (b) Positive
  23. 23.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −6/18 (b) −1/3 (c) −3/1 (d) 1/3
  24. 24.Write −20/28 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −20/28 (c) −5/7 (d) 5/7
  25. 25.What is (−3/8) − 4/7? (a) −7/15 (b) 53/56 (c) 11/56 (d) −53/56
  26. 26.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  27. 27.What is (−3/5) − (−1/7)? (a) −26/35 (b) −1/6 (c) 16/35 (d) −16/35
  28. 28.Is −5/6 positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  30. 30.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  31. 31.Which is smaller: −2/5 or −5/8? (a) −2/5 (b) −5/8
  32. 32.What is (−1/7) − 1/3? (a) −1/5 (b) 4/21 (c) −10/21 (d) 10/21
  33. 33.What is (−1/9) − 5/6? (a) −17/18 (b) 13/18 (c) 17/18 (d) −2/5
  34. 34.What is 1/7 + (−4/5)? (a) −23/35 (b) 33/35 (c) −1/4 (d) 23/35
  35. 35.Which is bigger: −1/4 or −1/2? (a) −1/2 (b) −1/4
  36. 36.What is the additive inverse of 5/7? (a) −5/7 (b) 7/5 (c) 5/7 (d) −7/5
  37. 37.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) 8 (c) −8 (d) 1/8
  38. 38.What is the additive inverse of 2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2
  39. 39.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −12/14 (c) −7/6 (d) −6/7
  40. 40.What is (−1/8) + (−3/5)? (a) −4/13 (b) −29/40 (c) 19/40 (d) 29/40

Answer key

  1. −8/9
  2. −2/7
  3. −2/7
  4. 43/36
  5. 1/2
  6. −5/6
  7. −6/7
  8. −19/21
  9. Positive
  10. 4/9
  11. −7/9
  12. 43/30
  13. −29/56
  14. −9
  15. −7/9
  16. 1/4
  17. −5/8
  18. Positive
  19. 3/4
  20. −7/8
  21. 9/7
  22. Positive
  23. −1/3
  24. −5/7
  25. −53/56
  26. −1/3
  27. −16/35
  28. Negative
  29. 8/3
  30. −5/4
  31. −5/8
  32. −10/21
  33. −17/18
  34. −23/35
  35. −1/4
  36. −5/7
  37. −8
  38. −2/5
  39. −6/7
  40. −29/40

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