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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 946 · 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.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −24/54 (d) −9/4
  2. 2.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −18/21
  3. 3.What is 1/9 − (−2/3)? (a) −5/9 (b) 1/4 (c) −7/9 (d) 7/9
  4. 4.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −15/21
  5. 5.What is (−1/8) + (−1/5)? (a) 13/40 (b) −2/13 (c) 3/40 (d) −13/40
  6. 6.What is 5/8 − (−1/6)? (a) 3/7 (b) −19/24 (c) 19/24 (d) 11/24
  7. 7.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  8. 8.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −9/12 (c) −3/4 (d) 3/4
  9. 9.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  10. 10.What is (−1/5) + (−2/3)? (a) 7/15 (b) −13/15 (c) −3/8 (d) 13/15
  11. 11.What is (−1/2) − (−2/5)? (a) 1/10 (b) 1/7 (c) −1/10 (d) −9/10
  12. 12.Which is bigger: −5/6 or −5/9? (a) −5/9 (b) −5/6
  13. 13.Write −12/18 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −12/18 (d) −3/2
  14. 14.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  15. 15.What is (−3/5) + (−5/6)? (a) −8/11 (b) 7/30 (c) −43/30 (d) 43/30
  16. 16.Write −15/24 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −15/24 (d) −8/5
  17. 17.What is (−2/7) + 1/4? (a) −15/28 (b) 1/28 (c) −1/11 (d) −1/28
  18. 18.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −10/35 (c) 2/7 (d) −7/2
  19. 19.What is (−5/7) − 5/7? (a) 0 (b) −10/7 (c) 10/7 (d) −5/7
  20. 20.Which is bigger: −2/9 or −3/4? (a) −3/4 (b) −2/9
  21. 21.Is −6/6 positive or negative? (a) Negative (b) Positive
  22. 22.Is 1/8 positive or negative? (a) Positive (b) Negative
  23. 23.Which is smaller: −3/7 or −5/8? (a) −3/7 (b) −5/8
  24. 24.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  25. 25.Which is smaller: −5/7 or 3/5? (a) 3/5 (b) −5/7
  26. 26.Is −2/6 positive or negative? (a) Negative (b) Positive
  27. 27.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  28. 28.Is 1/5 positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −2/7 or 2/9? (a) −2/7 (b) 2/9
  30. 30.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  31. 31.What is 1/4 + (−1/3)? (a) 0 (b) 1/12 (c) 7/12 (d) −1/12
  32. 32.Write −10/25 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −10/25 (c) −5/2 (d) 2/5
  33. 33.What is 7/8 + (−1/2)? (a) 11/8 (b) 3/5 (c) 3/8 (d) −3/8
  34. 34.Is 3/7 positive or negative? (a) Positive (b) Negative
  35. 35.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −20/24 (d) −6/5
  36. 36.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  37. 37.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −3/18 (c) 1/6 (d) −1/6
  38. 38.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −25/45 (b) 5/9 (c) −5/9 (d) −9/5
  39. 39.Which is bigger: −5/8 or 4/7? (a) 4/7 (b) −5/8
  40. 40.What is (−1/4) + (−2/7)? (a) 1/28 (b) −3/11 (c) −15/28 (d) 15/28

Answer key

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

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