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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 778 · 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 the additive inverse of 1/4? (a) −1/4 (b) 1/4 (c) 4 (d) −4
  2. 2.What is (−2/5) + (−5/8)? (a) 9/40 (b) 41/40 (c) −7/13 (d) −41/40
  3. 3.Which is smaller: −7/9 or −2/3? (a) −7/9 (b) −2/3
  4. 4.What is 2/5 − (−2/7)? (a) 4/35 (b) 1/3 (c) 24/35 (d) −24/35
  5. 5.Which is bigger: −5/7 or −1/9? (a) −5/7 (b) −1/9
  6. 6.Which is bigger: −1/2 or −1/6? (a) −1/6 (b) −1/2
  7. 7.What is 3/7 + (−1/4)? (a) 2/11 (b) −5/28 (c) 19/28 (d) 5/28
  8. 8.What is 1/7 − (−2/3)? (a) −17/21 (b) −11/21 (c) 17/21 (d) 3/10
  9. 9.What is (−1/4) − 5/6? (a) 13/12 (b) −3/5 (c) 7/12 (d) −13/12
  10. 10.What is 5/9 + (−1/5)? (a) −16/45 (b) 16/45 (c) 34/45 (d) 2/7
  11. 11.Which is bigger: −3/8 or −1/6? (a) −1/6 (b) −3/8
  12. 12.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −30/42
  13. 13.Is −1/3 positive or negative? (a) Negative (b) Positive
  14. 14.Is 7/9 positive or negative? (a) Positive (b) Negative
  15. 15.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −18/24 (d) −4/3
  16. 16.What is (−1/9) + (−3/5)? (a) 22/45 (b) 32/45 (c) −32/45 (d) −2/7
  17. 17.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  18. 18.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −7/6 (c) 6/7 (d) −36/42
  19. 19.Which is bigger: −2/9 or 3/4? (a) −2/9 (b) 3/4
  20. 20.Which is smaller: −4/7 or −2/5? (a) −2/5 (b) −4/7
  21. 21.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  22. 22.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) −12/28 (d) 3/7
  23. 23.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) 3/8 (d) −15/40
  24. 24.Write −30/36 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −30/36 (c) −5/6 (d) 5/6
  25. 25.Which is bigger: −4/9 or −1/8? (a) −1/8 (b) −4/9
  26. 26.Write −42/54 in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −9/7 (d) −42/54
  27. 27.What is (−7/8) + (−3/7)? (a) −73/56 (b) −2/3 (c) 73/56 (d) −25/56
  28. 28.Write −18/24 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −18/24 (c) 3/4 (d) −3/4
  29. 29.What is (−1/2) − 1/9? (a) −7/18 (b) −11/18 (c) 11/18 (d) −2/11
  30. 30.Which is smaller: −5/8 or −5/7? (a) −5/8 (b) −5/7
  31. 31.What is (−2/7) − 3/4? (a) 13/28 (b) 29/28 (c) −5/11 (d) −29/28
  32. 32.What is (−2/7) + 3/4? (a) 1/11 (b) 13/28 (c) −29/28 (d) −13/28
  33. 33.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  34. 34.What is 3/4 − (−4/9)? (a) 43/36 (b) 11/36 (c) −43/36 (d) 7/13
  35. 35.What is the additive inverse of −5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  36. 36.What is (−1/7) + 5/7? (a) 2/7 (b) −4/7 (c) 4/7 (d) −6/7
  37. 37.Which is bigger: −2/9 or −5/8? (a) −5/8 (b) −2/9
  38. 38.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  39. 39.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  40. 40.What is the additive inverse of −1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8

Answer key

  1. −1/4
  2. −41/40
  3. −7/9
  4. 24/35
  5. −1/9
  6. −1/6
  7. 5/28
  8. 17/21
  9. −13/12
  10. 16/45
  11. −1/6
  12. −5/7
  13. Negative
  14. Positive
  15. −3/4
  16. −32/45
  17. Negative
  18. −6/7
  19. 3/4
  20. −4/7
  21. Positive
  22. −3/7
  23. −3/8
  24. −5/6
  25. −1/8
  26. −7/9
  27. −73/56
  28. −3/4
  29. −11/18
  30. −5/7
  31. −29/28
  32. 13/28
  33. 5/2
  34. 43/36
  35. 5/8
  36. 4/7
  37. −2/9
  38. −7/5
  39. Negative
  40. 1/8

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