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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 832 · 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 3/8 − (−4/9)? (a) 7/17 (b) 59/72 (c) −59/72 (d) −5/72
  2. 2.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  3. 3.What is 5/8 + (−2/7)? (a) 1/5 (b) 19/56 (c) 51/56 (d) −19/56
  4. 4.What is the additive inverse of 1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  5. 5.What is 3/4 + (−6/7)? (a) 45/28 (b) −3/28 (c) 3/28 (d) −3/11
  6. 6.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −15/25 (d) −3/5
  7. 7.What is (−5/8) + 1/3? (a) −4/11 (b) 7/24 (c) −7/24 (d) −23/24
  8. 8.What is (−3/7) + (−7/8)? (a) −2/3 (b) 25/56 (c) 73/56 (d) −73/56
  9. 9.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  11. 11.What is 2/7 + (−1/5)? (a) 1/12 (b) 17/35 (c) 3/35 (d) −3/35
  12. 12.Is 8/4 positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −4/9 or 2/9? (a) −4/9 (b) 2/9
  14. 14.What is (−1/2) + 3/8? (a) 1/5 (b) −1/8 (c) 1/8 (d) −7/8
  15. 15.What is (−1/7) + 2/3? (a) −17/21 (b) −11/21 (c) 1/10 (d) 11/21
  16. 16.Which is bigger: −5/6 or −2/7? (a) −2/7 (b) −5/6
  17. 17.Is −1/7 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−3/7) + 2/7? (a) −1/7 (b) −5/7 (c) −1/14 (d) 1/7
  19. 19.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  20. 20.What is (−1/4) + 1/2? (a) −3/4 (b) 0 (c) −1/4 (d) 1/4
  21. 21.Which is smaller: −1/3 or −8/9? (a) −1/3 (b) −8/9
  22. 22.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  23. 23.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −10/45 (c) 2/9 (d) −2/9
  24. 24.Which is smaller: −3/5 or −5/6? (a) −3/5 (b) −5/6
  25. 25.What is (−5/8) + 2/3? (a) 1/24 (b) −31/24 (c) −1/24 (d) −3/11
  26. 26.Write −4/32 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −4/32 (d) 1/8
  27. 27.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −4/6 (d) −3/2
  28. 28.Which is smaller: −5/8 or −2/3? (a) −5/8 (b) −2/3
  29. 29.Is 7/2 positive or negative? (a) Positive (b) Negative
  30. 30.Write −24/28 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −24/28
  31. 31.Which is smaller: −2/5 or 5/8? (a) −2/5 (b) 5/8
  32. 32.What is 1/9 − (−1/8)? (a) 2/17 (b) 17/72 (c) −1/72 (d) −17/72
  33. 33.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −6/15
  34. 34.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −15/24
  35. 35.What is the additive inverse of −2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  36. 36.Is −2/4 positive or negative? (a) Negative (b) Positive
  37. 37.What is 3/8 + (−1/3)? (a) −1/24 (b) 2/11 (c) 17/24 (d) 1/24
  38. 38.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  39. 39.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  40. 40.What is 4/5 − (−4/5)? (a) −8/5 (b) 0 (c) 4/5 (d) 8/5

Answer key

  1. 59/72
  2. Positive
  3. 19/56
  4. −1/7
  5. −3/28
  6. −3/5
  7. −7/24
  8. −73/56
  9. Positive
  10. −2/9
  11. 3/35
  12. Positive
  13. −4/9
  14. −1/8
  15. 11/21
  16. −2/7
  17. Negative
  18. −1/7
  19. −6/7
  20. 1/4
  21. −8/9
  22. 3
  23. −2/9
  24. −5/6
  25. 1/24
  26. −1/8
  27. −2/3
  28. −2/3
  29. Positive
  30. −6/7
  31. −2/5
  32. 17/72
  33. −2/5
  34. −5/8
  35. 2/9
  36. Negative
  37. 1/24
  38. Negative
  39. 8/3
  40. 8/5

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