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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 237 · 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.Which is bigger: −3/4 or 2/3? (a) −3/4 (b) 2/3
  2. 2.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −10/25 (d) 2/5
  3. 3.Which is bigger: −1/5 or −1/6? (a) −1/5 (b) −1/6
  4. 4.What is (−4/5) + (−4/9)? (a) 56/45 (b) −56/45 (c) −4/7 (d) −16/45
  5. 5.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −3/1 (d) −1/3
  6. 6.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  7. 7.What is (−2/3) − 1/2? (a) −3/5 (b) −7/6 (c) −1/6 (d) 7/6
  8. 8.Which is bigger: −3/5 or 3/8? (a) −3/5 (b) 3/8
  9. 9.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  10. 10.What is 1/8 − (−1/4)? (a) −3/8 (b) −1/8 (c) 1/6 (d) 3/8
  11. 11.Which is smaller: −1/3 or −4/9? (a) −4/9 (b) −1/3
  12. 12.What is (−3/4) − 4/7? (a) −7/11 (b) −5/28 (c) 37/28 (d) −37/28
  13. 13.Which is smaller: −1/8 or −7/8? (a) −7/8 (b) −1/8
  14. 14.What is (−1/3) + 4/5? (a) 3/8 (b) −17/15 (c) 7/15 (d) −7/15
  15. 15.What is (−2/5) − 1/7? (a) 19/35 (b) −9/35 (c) −1/4 (d) −19/35
  16. 16.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) −4/7 (c) 4/7 (d) −7/4
  17. 17.Is −2/6 positive or negative? (a) Positive (b) Negative
  18. 18.What is the additive inverse of −1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  19. 19.What is 5/7 + (−5/7)? (a) 0 (b) 10/7
  20. 20.Is −4/2 positive or negative? (a) Positive (b) Negative
  21. 21.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −30/35 (d) −6/7
  22. 22.What is (−7/9) − 8/9? (a) −5/6 (b) 5/3 (c) −5/3 (d) 1/9
  23. 23.Which is smaller: −5/6 or −2/7? (a) −5/6 (b) −2/7
  24. 24.What is 6/7 + (−3/8)? (a) 27/56 (b) 69/56 (c) −27/56 (d) 1/5
  25. 25.What is (−1/3) + (−1/3)? (a) 0 (b) −2/3 (c) 2/3 (d) −1/3
  26. 26.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  27. 27.What is (−1/4) + 3/7? (a) −5/28 (b) 5/28 (c) −19/28 (d) 2/11
  28. 28.What is (−2/5) + 7/8? (a) −51/40 (b) −19/40 (c) 5/13 (d) 19/40
  29. 29.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) −3/2 (c) 2/3 (d) −2/3
  30. 30.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  31. 31.Is −2/3 positive or negative? (a) Positive (b) Negative
  32. 32.What is 2/7 − (−3/8)? (a) −37/56 (b) −5/56 (c) 1/3 (d) 37/56
  33. 33.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −3/27 (d) −1/9
  34. 34.Which is bigger: −2/5 or −1/6? (a) −2/5 (b) −1/6
  35. 35.Which is smaller: −7/9 or 5/7? (a) −7/9 (b) 5/7
  36. 36.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −2/12 (d) −6/1
  37. 37.Write −5/25 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −5/25
  38. 38.Which is bigger: −1/9 or −2/9? (a) −2/9 (b) −1/9
  39. 39.Is 6/4 positive or negative? (a) Negative (b) Positive
  40. 40.What is 2/5 − (−2/5)? (a) 4/5 (b) 2/5 (c) −4/5 (d) 0

Answer key

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

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