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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 509 · 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 (−5/9) − 1/5? (a) −16/45 (b) 34/45 (c) −34/45 (d) −3/7
  2. 2.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −21/27
  3. 3.What is (−5/6) − 2/3? (a) −7/9 (b) −1/6 (c) −3/2 (d) 3/2
  4. 4.What is (−2/3) + 2/9? (a) −4/9 (b) −8/9 (c) 0 (d) 4/9
  5. 5.What is (−1/7) − (−2/5)? (a) 9/35 (b) −9/35 (c) 1/12 (d) −19/35
  6. 6.What is (−1/7) + (−5/9)? (a) −44/63 (b) 44/63 (c) −3/8 (d) 26/63
  7. 7.What is (−2/9) − 8/9? (a) 10/9 (b) −10/9 (c) 2/3 (d) −5/9
  8. 8.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  10. 10.Which is bigger: −8/9 or 1/7? (a) −8/9 (b) 1/7
  11. 11.Which is bigger: −1/4 or −1/9? (a) −1/4 (b) −1/9
  12. 12.What is (−1/9) + (−3/7)? (a) −1/4 (b) 20/63 (c) 34/63 (d) −34/63
  13. 13.What is (−1/3) − (−1/2)? (a) −1/6 (b) 0 (c) −5/6 (d) 1/6
  14. 14.Is −6/4 positive or negative? (a) Positive (b) Negative
  15. 15.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  16. 16.What is (−8/9) − 6/7? (a) 110/63 (b) −2/63 (c) −110/63 (d) −7/8
  17. 17.What is (−4/5) − 5/8? (a) 57/40 (b) −9/13 (c) −57/40 (d) −7/40
  18. 18.What is (−1/8) − (−7/9)? (a) −47/72 (b) −65/72 (c) 6/17 (d) 47/72
  19. 19.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  20. 20.What is (−2/3) + 4/9? (a) −2/9 (b) −10/9 (c) 1/6 (d) 2/9
  21. 21.Which is smaller: −2/5 or 1/2? (a) −2/5 (b) 1/2
  22. 22.Write −4/14 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −4/14
  23. 23.What is 5/9 − (−1/3)? (a) 1/2 (b) 2/9 (c) 8/9 (d) −8/9
  24. 24.What is (−1/7) − 3/5? (a) 16/35 (b) −1/3 (c) −26/35 (d) 26/35
  25. 25.Is −6/9 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/7) − 3/7? (a) 4/7 (b) 2/7 (c) −2/7 (d) −4/7
  27. 27.Is −3/3 positive or negative? (a) Negative (b) Positive
  28. 28.What is the additive inverse of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  29. 29.What is (−3/7) + 1/2? (a) −2/9 (b) −1/14 (c) 1/14 (d) −13/14
  30. 30.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −9/12 (d) 3/4
  31. 31.Is −8/9 positive or negative? (a) Negative (b) Positive
  32. 32.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  33. 33.What is the additive inverse of −7/8? (a) −8/7 (b) 8/7 (c) −7/8 (d) 7/8
  34. 34.What is 1/8 − (−2/3)? (a) 3/11 (b) −13/24 (c) −19/24 (d) 19/24
  35. 35.Which is smaller: −7/9 or −5/8? (a) −7/9 (b) −5/8
  36. 36.What is 1/9 − (−3/7)? (a) 34/63 (b) −34/63 (c) 1/4 (d) −20/63
  37. 37.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  38. 38.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −4/8 (d) −1/2
  39. 39.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  40. 40.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −12/16 (d) −4/3

Answer key

  1. −34/45
  2. −7/9
  3. −3/2
  4. −4/9
  5. 9/35
  6. −44/63
  7. −10/9
  8. Positive
  9. Negative
  10. 1/7
  11. −1/9
  12. −34/63
  13. 1/6
  14. Negative
  15. 4/3
  16. −110/63
  17. −57/40
  18. 47/72
  19. −3
  20. −2/9
  21. −2/5
  22. −2/7
  23. 8/9
  24. −26/35
  25. Negative
  26. −4/7
  27. Negative
  28. −1/3
  29. 1/14
  30. −3/4
  31. Negative
  32. Negative
  33. 7/8
  34. 19/24
  35. −7/9
  36. 34/63
  37. Positive
  38. −1/2
  39. −9/2
  40. −3/4

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