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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 923 · 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) + 7/9? (a) −29/72 (b) −83/72 (c) 4/17 (d) 29/72
  2. 2.What is (−5/6) − 1/3? (a) 7/6 (b) −1/2 (c) −7/6 (d) −2/3
  3. 3.What is 7/9 + (−2/5)? (a) 53/45 (b) 5/14 (c) 17/45 (d) −17/45
  4. 4.Which is smaller: −3/4 or −3/5? (a) −3/5 (b) −3/4
  5. 5.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −12/54
  6. 6.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −12/14 (c) −6/7 (d) −7/6
  7. 7.What is 7/9 + (−1/6)? (a) 2/5 (b) 11/18 (c) 17/18 (d) −11/18
  8. 8.Write −3/12 in standard form (lowest terms, positive denominator). (a) −3/12 (b) −4/1 (c) −1/4 (d) 1/4
  9. 9.What is 5/6 − (−2/7)? (a) 23/42 (b) 7/13 (c) −47/42 (d) 47/42
  10. 10.Write −12/20 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −12/20 (d) −3/5
  11. 11.Write −6/24 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −6/24
  12. 12.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  13. 13.What is 7/9 − (−1/2)? (a) −23/18 (b) 8/11 (c) 5/18 (d) 23/18
  14. 14.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −4/24
  15. 15.Is 7/3 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−1/3) + (−1/2)? (a) −5/6 (b) 5/6 (c) 1/6 (d) −2/5
  17. 17.Which is smaller: −1/9 or −1/8? (a) −1/9 (b) −1/8
  18. 18.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  19. 19.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −6/8 (b) 3/4 (c) −4/3 (d) −3/4
  20. 20.What is 3/4 − (−2/7)? (a) 5/11 (b) −29/28 (c) 29/28 (d) 13/28
  21. 21.What is the additive inverse of −4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  22. 22.What is 1/7 − (−2/9)? (a) 3/16 (b) −5/63 (c) 23/63 (d) −23/63
  23. 23.What is 7/9 − (−6/7)? (a) 103/63 (b) −103/63 (c) −5/63 (d) 13/16
  24. 24.Write −12/14 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) 6/7 (d) −6/7
  25. 25.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  26. 26.What is (−5/7) − 3/4? (a) 1/28 (b) −8/11 (c) 41/28 (d) −41/28
  27. 27.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) 3/8 (d) −12/32
  28. 28.What is (−1/8) − (−2/3)? (a) −13/24 (b) 1/11 (c) −19/24 (d) 13/24
  29. 29.What is (−5/7) − 3/8? (a) −19/56 (b) −8/15 (c) 61/56 (d) −61/56
  30. 30.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  31. 31.What is 4/7 − (−4/5)? (a) 2/3 (b) 48/35 (c) −48/35 (d) −8/35
  32. 32.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  33. 33.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −30/54 (d) 5/9
  34. 34.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) 3/7 (d) −18/42
  35. 35.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3
  36. 36.Is 2/3 positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −5/8 or 5/6? (a) −5/8 (b) 5/6
  38. 38.Is −2/8 positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  40. 40.Is −2/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. 29/72
  2. −7/6
  3. 17/45
  4. −3/4
  5. −2/9
  6. −6/7
  7. 11/18
  8. −1/4
  9. 47/42
  10. −3/5
  11. −1/4
  12. −4/3
  13. 23/18
  14. −1/6
  15. Positive
  16. −5/6
  17. −1/8
  18. Positive
  19. −3/4
  20. 29/28
  21. 4/5
  22. 23/63
  23. 103/63
  24. −6/7
  25. 7/6
  26. −41/28
  27. −3/8
  28. 13/24
  29. −61/56
  30. −1/4
  31. 48/35
  32. 9/8
  33. −5/9
  34. −3/7
  35. −3/5
  36. Positive
  37. 5/6
  38. Negative
  39. 2/3
  40. Negative

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