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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 737 · 40 sums
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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 1/6 − (−3/5)? (a) −23/30 (b) 4/11 (c) −13/30 (d) 23/30
  2. 2.What is 4/7 − (−3/7)? (a) 1 (b) −1 (c) 1/7 (d) 1/2
  3. 3.What is (−1/3) + 2/7? (a) 1/21 (b) −1/21 (c) 1/10 (d) −13/21
  4. 4.Which is bigger: −1/7 or 3/5? (a) 3/5 (b) −1/7
  5. 5.Write −2/12 in standard form (lowest terms, positive denominator). (a) −2/12 (b) 1/6 (c) −1/6 (d) −6/1
  6. 6.Write −2/18 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) −2/18 (d) 1/9
  7. 7.What is 5/9 − (−1/3)? (a) 8/9 (b) 2/9 (c) −8/9 (d) 1/2
  8. 8.Write −18/21 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) 6/7 (d) −6/7
  9. 9.Is 2/9 positive or negative? (a) Negative (b) Positive
  10. 10.Is 7/4 positive or negative? (a) Negative (b) Positive
  11. 11.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −15/24 (c) −5/8 (d) −8/5
  12. 12.What is (−2/7) + 2/5? (a) −24/35 (b) −4/35 (c) 4/35 (d) 0
  13. 13.Which is smaller: −1/6 or 3/5? (a) −1/6 (b) 3/5
  14. 14.What is (−3/7) + 1/9? (a) −20/63 (b) 20/63 (c) −34/63 (d) −1/8
  15. 15.Which is bigger: −5/9 or −1/9? (a) −5/9 (b) −1/9
  16. 16.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  17. 17.What is 6/7 − (−4/7)? (a) 5/7 (b) 2/7 (c) −10/7 (d) 10/7
  18. 18.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 9/5 (c) 5/9 (d) −5/9
  19. 19.Which is smaller: −4/9 or −1/9? (a) −1/9 (b) −4/9
  20. 20.Is −7/2 positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −3/7 or 7/9? (a) 7/9 (b) −3/7
  22. 22.What is (−3/4) + (−1/2)? (a) −5/4 (b) −2/3 (c) 5/4 (d) −1/4
  23. 23.Is 6/4 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−3/4) + (−3/8)? (a) −3/8 (b) −1/2 (c) −9/8 (d) 9/8
  25. 25.What is the additive inverse of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  26. 26.What is (−7/8) + (−5/9)? (a) −103/72 (b) 103/72 (c) −12/17 (d) −23/72
  27. 27.What is (−1/4) − 1/3? (a) −2/7 (b) 1/12 (c) 7/12 (d) −7/12
  28. 28.What is (−3/7) − 4/7? (a) −1/2 (b) 1 (c) 1/7 (d) −1
  29. 29.Is −8/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−3/7) − 2/9? (a) −13/63 (b) 41/63 (c) −5/16 (d) −41/63
  31. 31.Is 3/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−4/5) + 3/8? (a) −47/40 (b) −17/40 (c) 17/40 (d) −1/13
  33. 33.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.Is 3/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.What is the additive inverse of −3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  36. 36.Which is smaller: −2/3 or −4/9? (a) −4/9 (b) −2/3
  37. 37.Is 4/6 positive or negative? (a) Negative (b) Positive
  38. 38.Is −9/9 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−2/5) − 4/7? (a) 34/35 (b) 6/35 (c) −1/2 (d) −34/35
  40. 40.Which is bigger: −3/4 or −1/4? (a) −3/4 (b) −1/4

Answer key

  1. 23/30
  2. 1
  3. −1/21
  4. 3/5
  5. −1/6
  6. −1/9
  7. 8/9
  8. −6/7
  9. Positive
  10. Positive
  11. −5/8
  12. 4/35
  13. −1/6
  14. −20/63
  15. −1/9
  16. Positive
  17. 10/7
  18. 9/5
  19. −4/9
  20. Negative
  21. 7/9
  22. −5/4
  23. Positive
  24. −9/8
  25. −1/4
  26. −103/72
  27. −7/12
  28. −1
  29. Positive
  30. −41/63
  31. Positive
  32. −17/40
  33. Positive
  34. Negative
  35. 3/8
  36. −2/3
  37. Positive
  38. Negative
  39. −34/35
  40. −1/4

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