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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 709 · 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: −3/7 or 3/5? (a) −3/7 (b) 3/5
  2. 2.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) 4/9 (c) −9/4 (d) −4/9
  3. 3.Is −8/8 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−1/8) − 2/3? (a) 19/24 (b) 13/24 (c) −3/11 (d) −19/24
  5. 5.What is (−1/6) + 2/3? (a) 1/9 (b) 1/2 (c) −1/2 (d) −5/6
  6. 6.What is (−5/6) + 8/9? (a) 1/5 (b) −1/18 (c) 1/18 (d) −31/18
  7. 7.Which is smaller: −5/9 or 2/7? (a) −5/9 (b) 2/7
  8. 8.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −3/24 (b) −8/1 (c) −1/8 (d) 1/8
  9. 9.Is −1/6 positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −4/7 or 3/8? (a) −4/7 (b) 3/8
  11. 11.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  12. 12.What is 7/8 + (−7/9)? (a) 119/72 (b) −7/72 (c) 0 (d) 7/72
  13. 13.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  14. 14.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −9/12 (c) −4/3 (d) 3/4
  15. 15.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  16. 16.What is (−1/3) − 4/7? (a) −1/2 (b) 5/21 (c) −19/21 (d) 19/21
  17. 17.What is (−3/8) + 1/4? (a) −1/6 (b) −5/8 (c) 1/8 (d) −1/8
  18. 18.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −24/28 (c) −7/6 (d) 6/7
  19. 19.What is (−5/9) + (−1/6)? (a) −2/5 (b) −7/18 (c) 13/18 (d) −13/18
  20. 20.What is 1/6 + (−7/8)? (a) −3/7 (b) −17/24 (c) 25/24 (d) 17/24
  21. 21.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) −3/1 (c) 1/3 (d) −1/3
  22. 22.What is the additive inverse of −3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  23. 23.What is 1/5 − (−2/5)? (a) −1/5 (b) 3/5 (c) 3/10 (d) −3/5
  24. 24.What is 1/4 − (−7/9)? (a) 8/13 (b) −37/36 (c) −19/36 (d) 37/36
  25. 25.What is 5/9 + (−1/2)? (a) 19/18 (b) −1/18 (c) 4/11 (d) 1/18
  26. 26.What is (−7/8) − 1/5? (a) 43/40 (b) −8/13 (c) −27/40 (d) −43/40
  27. 27.What is 7/8 − (−3/7)? (a) −73/56 (b) 2/3 (c) 73/56 (d) 25/56
  28. 28.Which is bigger: −5/7 or 7/8? (a) −5/7 (b) 7/8
  29. 29.Write −20/45 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −20/45 (d) 4/9
  30. 30.What is 3/8 + (−1/3)? (a) 17/24 (b) 2/11 (c) −1/24 (d) 1/24
  31. 31.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) 2/5 (c) −5/2 (d) −2/5
  32. 32.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 7 (c) 1/7 (d) −7
  33. 33.Which is smaller: −3/4 or −5/9? (a) −3/4 (b) −5/9
  34. 34.What is 4/7 − (−8/9)? (a) 3/4 (b) −20/63 (c) −92/63 (d) 92/63
  35. 35.Which is bigger: −2/9 or −3/4? (a) −3/4 (b) −2/9
  36. 36.Which is smaller: −4/7 or 1/2? (a) 1/2 (b) −4/7
  37. 37.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) 3/4 (d) −3/4
  38. 38.What is (−3/8) − (−7/9)? (a) −83/72 (b) 4/17 (c) 29/72 (d) −29/72
  39. 39.Is 2/7 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−2/5) + 3/8? (a) 1/13 (b) −31/40 (c) −1/40 (d) 1/40

Answer key

  1. −3/7
  2. −4/9
  3. Negative
  4. −19/24
  5. 1/2
  6. 1/18
  7. −5/9
  8. −1/8
  9. Negative
  10. −4/7
  11. −9/8
  12. 7/72
  13. 9/8
  14. −3/4
  15. 6/5
  16. −19/21
  17. −1/8
  18. −6/7
  19. −13/18
  20. −17/24
  21. −1/3
  22. 3/8
  23. 3/5
  24. 37/36
  25. 1/18
  26. −43/40
  27. 73/56
  28. 7/8
  29. −4/9
  30. 1/24
  31. −2/5
  32. 7
  33. −3/4
  34. 92/63
  35. −2/9
  36. −4/7
  37. −3/4
  38. 29/72
  39. Positive
  40. −1/40

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