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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 30 · 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 1/2 − (−1/9)? (a) 11/18 (b) −11/18 (c) 2/11 (d) 7/18
  2. 2.Which is bigger: −6/7 or −2/7? (a) −6/7 (b) −2/7
  3. 3.What is (−5/7) + 2/3? (a) −1/21 (b) −29/21 (c) 1/21 (d) −3/10
  4. 4.Which is bigger: −4/7 or −2/5? (a) −4/7 (b) −2/5
  5. 5.Which is bigger: −5/7 or 1/2? (a) 1/2 (b) −5/7
  6. 6.What is (−6/7) + 2/7? (a) 4/7 (b) −4/7 (c) −2/7 (d) −8/7
  7. 7.Write −4/14 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −4/14
  8. 8.What is (−1/3) − 1/9? (a) −2/9 (b) −1/6 (c) 4/9 (d) −4/9
  9. 9.Is 2/2 positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of −1/2? (a) 1/2 (b) 2 (c) −1/2 (d) −2
  11. 11.What is (−1/9) + 7/9? (a) −2/3 (b) −8/9 (c) 1/3 (d) 2/3
  12. 12.What is 1/4 + (−1/4)? (a) 1/2 (b) 0
  13. 13.Which is smaller: −1/8 or −1/5? (a) −1/8 (b) −1/5
  14. 14.What is (−1/2) − 2/7? (a) −11/14 (b) 11/14 (c) −3/14 (d) −1/3
  15. 15.Which is smaller: −1/9 or −1/3? (a) −1/9 (b) −1/3
  16. 16.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −8/18 (d) −9/4
  17. 17.Which is bigger: −1/3 or −4/5? (a) −4/5 (b) −1/3
  18. 18.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −4/12 (c) −1/3 (d) 1/3
  19. 19.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −20/36 (d) −9/5
  20. 20.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  21. 21.Is −4/6 positive or negative? (a) Positive (b) Negative
  22. 22.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −6/36 (d) −1/6
  23. 23.What is 5/7 + (−8/9)? (a) −3/16 (b) 101/63 (c) −11/63 (d) 11/63
  24. 24.Write −6/14 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −6/14 (c) 3/7 (d) −3/7
  25. 25.What is (−1/4) + 1/3? (a) 1/12 (b) −1/12 (c) 0 (d) −7/12
  26. 26.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −10/12 (c) −5/6 (d) 5/6
  27. 27.What is the additive inverse of 4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  28. 28.What is (−7/9) + 3/4? (a) −4/13 (b) 1/36 (c) −1/36 (d) −55/36
  29. 29.What is the additive inverse of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  30. 30.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −12/16
  31. 31.What is the additive inverse of 5/9? (a) −5/9 (b) 9/5 (c) −9/5 (d) 5/9
  32. 32.Write −20/32 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −20/32 (d) −5/8
  33. 33.Which is smaller: −1/5 or 1/9? (a) −1/5 (b) 1/9
  34. 34.What is (−3/5) + 8/9? (a) −13/45 (b) 13/45 (c) 5/14 (d) −67/45
  35. 35.Is 6/(−5) positive or negative? (a) Positive (b) Negative
  36. 36.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  37. 37.Write −6/48 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −6/48
  38. 38.What is 3/8 − (−1/5)? (a) −23/40 (b) 23/40 (c) 7/40 (d) 4/13
  39. 39.Is −9/6 positive or negative? (a) Negative (b) Positive
  40. 40.What is 5/7 − (−1/8)? (a) 2/5 (b) 33/56 (c) −47/56 (d) 47/56

Answer key

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

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