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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 419 · 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 2/5 + (−5/6)? (a) 37/30 (b) 13/30 (c) −13/30 (d) −3/11
  2. 2.Is 3/5 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−1/8) + (−4/7)? (a) −1/3 (b) 39/56 (c) 25/56 (d) −39/56
  4. 4.What is (−5/6) − (−1/9)? (a) −4/15 (b) −13/18 (c) 13/18 (d) −17/18
  5. 5.Which is bigger: −5/6 or 1/3? (a) 1/3 (b) −5/6
  6. 6.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −6/54 (d) −1/9
  7. 7.What is (−3/7) + 3/8? (a) −45/56 (b) −3/56 (c) 3/56 (d) 0
  8. 8.What is (−5/6) − 2/3? (a) −1/6 (b) −7/9 (c) −3/2 (d) 3/2
  9. 9.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −4/24 (d) 1/6
  10. 10.What is (−1/6) + (−7/8)? (a) −25/24 (b) −4/7 (c) 25/24 (d) 17/24
  11. 11.Which is bigger: −2/3 or 2/9? (a) −2/3 (b) 2/9
  12. 12.What is 1/4 − (−4/7)? (a) −23/28 (b) −9/28 (c) 23/28 (d) 5/11
  13. 13.What is (−1/3) + (−3/8)? (a) 1/24 (b) −4/11 (c) 17/24 (d) −17/24
  14. 14.What is the additive inverse of 4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  15. 15.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −24/27
  16. 16.Is −5/9 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−6/7) + 3/7? (a) 3/7 (b) −9/7 (c) −3/14 (d) −3/7
  18. 18.What is (−1/4) + 6/7? (a) −17/28 (b) −31/28 (c) 5/11 (d) 17/28
  19. 19.Which is bigger: −4/7 or −7/8? (a) −4/7 (b) −7/8
  20. 20.Is −1/2 positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  22. 22.What is (−2/9) + 1/7? (a) −23/63 (b) −5/63 (c) 5/63 (d) −1/16
  23. 23.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  24. 24.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  25. 25.Which is bigger: −4/5 or −4/7? (a) −4/7 (b) −4/5
  26. 26.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  27. 27.What is 3/8 + (−3/8)? (a) 3/4 (b) 0
  28. 28.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  29. 29.Which is bigger: −2/5 or 1/8? (a) 1/8 (b) −2/5
  30. 30.What is 2/7 − (−5/6)? (a) −47/42 (b) 7/13 (c) 47/42 (d) −23/42
  31. 31.Is 8/(−6) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−4/5) − 4/9? (a) 56/45 (b) −16/45 (c) −4/7 (d) −56/45
  33. 33.Which is smaller: −3/4 or −2/3? (a) −3/4 (b) −2/3
  34. 34.What is the additive inverse of 8/9? (a) 9/8 (b) 8/9 (c) −8/9 (d) −9/8
  35. 35.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  36. 36.What is (−4/7) + 3/5? (a) 1/35 (b) −1/35 (c) −41/35 (d) −1/12
  37. 37.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  38. 38.Write −4/8 in standard form (lowest terms, positive denominator). (a) −4/8 (b) −2/1 (c) 1/2 (d) −1/2
  39. 39.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −10/25 (c) −2/5 (d) 2/5
  40. 40.Write −20/36 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −9/5 (d) −20/36

Answer key

  1. −13/30
  2. Positive
  3. −39/56
  4. −13/18
  5. 1/3
  6. −1/9
  7. −3/56
  8. −3/2
  9. −1/6
  10. −25/24
  11. 2/9
  12. 23/28
  13. −17/24
  14. −4/9
  15. −8/9
  16. Negative
  17. −3/7
  18. 17/28
  19. −4/7
  20. Negative
  21. 7/8
  22. −5/63
  23. 6
  24. 4/3
  25. −4/7
  26. Positive
  27. 0
  28. −5/6
  29. 1/8
  30. 47/42
  31. Negative
  32. −56/45
  33. −3/4
  34. −8/9
  35. 8/7
  36. 1/35
  37. 3/2
  38. −1/2
  39. −2/5
  40. −5/9

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