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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 913 · 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 (−1/8) + 2/3? (a) 1/11 (b) −19/24 (c) 13/24 (d) −13/24
  2. 2.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  3. 3.What is the additive inverse of −1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  4. 4.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −4/24 (d) 1/6
  5. 5.What is the additive inverse of 1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  6. 6.What is 1/4 + (−5/6)? (a) 13/12 (b) 7/12 (c) −7/12 (d) −2/5
  7. 7.Which is bigger: −1/7 or −5/8? (a) −1/7 (b) −5/8
  8. 8.Is 2/2 positive or negative? (a) Negative (b) Positive
  9. 9.What is 3/4 + (−5/8)? (a) −1/8 (b) 1/8 (c) 11/8 (d) −1/6
  10. 10.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) −2/1 (c) 1/2 (d) −1/2
  11. 11.Write −30/36 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −30/36
  12. 12.Which is smaller: −2/5 or −4/7? (a) −4/7 (b) −2/5
  13. 13.What is 6/7 − (−4/7)? (a) 5/7 (b) −10/7 (c) 10/7 (d) 2/7
  14. 14.What is the additive inverse of 6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  15. 15.Is −7/5 positive or negative? (a) Positive (b) Negative
  16. 16.Is −3/2 positive or negative? (a) Positive (b) Negative
  17. 17.Which is bigger: −1/4 or −1/3? (a) −1/3 (b) −1/4
  18. 18.What is (−3/5) + (−1/4)? (a) −17/20 (b) 17/20 (c) −7/20 (d) −4/9
  19. 19.Write −5/30 in standard form (lowest terms, positive denominator). (a) −5/30 (b) 1/6 (c) −6/1 (d) −1/6
  20. 20.What is (−2/5) + 1/8? (a) −21/40 (b) −1/13 (c) 11/40 (d) −11/40
  21. 21.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  22. 22.Which is smaller: −5/7 or −2/7? (a) −2/7 (b) −5/7
  23. 23.What is 1/6 − (−1/3)? (a) −1/6 (b) 1/2 (c) 2/9 (d) −1/2
  24. 24.Which is smaller: −3/8 or −1/3? (a) −3/8 (b) −1/3
  25. 25.What is (−5/9) + (−5/6)? (a) 5/18 (b) 25/18 (c) −25/18 (d) −2/3
  26. 26.Which is bigger: −3/8 or −7/8? (a) −3/8 (b) −7/8
  27. 27.What is (−3/8) + 1/3? (a) −1/24 (b) −2/11 (c) −17/24 (d) 1/24
  28. 28.Which is smaller: −1/2 or −1/4? (a) −1/2 (b) −1/4
  29. 29.What is 3/4 − (−1/6)? (a) 2/5 (b) −11/12 (c) 7/12 (d) 11/12
  30. 30.What is 4/7 + (−2/9)? (a) −22/63 (b) 1/8 (c) 22/63 (d) 50/63
  31. 31.What is (−5/9) + (−1/4)? (a) −29/36 (b) 29/36 (c) −11/36 (d) −6/13
  32. 32.Which is smaller: −1/6 or 8/9? (a) −1/6 (b) 8/9
  33. 33.Is 2/6 positive or negative? (a) Negative (b) Positive
  34. 34.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  35. 35.What is the additive inverse of 5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  36. 36.Which is bigger: −3/7 or 1/2? (a) 1/2 (b) −3/7
  37. 37.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  38. 38.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  39. 39.Which is smaller: −3/8 or 1/4? (a) 1/4 (b) −3/8
  40. 40.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −2/12 (c) −6/1 (d) 1/6

Answer key

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

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