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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 928 · 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 the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −4/9 (c) −9/4 (d) 4/9
  2. 2.What is 5/9 + (−3/4)? (a) 2/13 (b) 7/36 (c) 47/36 (d) −7/36
  3. 3.Write −4/12 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −4/12 (c) 1/3 (d) −3/1
  4. 4.Write −16/20 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −16/20 (d) −5/4
  5. 5.What is 4/5 + (−6/7)? (a) −1/6 (b) 58/35 (c) 2/35 (d) −2/35
  6. 6.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) 2/9 (d) −9/2
  7. 7.Which is smaller: −2/5 or −5/8? (a) −2/5 (b) −5/8
  8. 8.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −3/2 (c) 2/3 (d) −2/3
  9. 9.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  10. 10.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) 7/9 (c) −9/7 (d) −7/9
  11. 11.Which is smaller: −8/9 or −3/4? (a) −3/4 (b) −8/9
  12. 12.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  13. 13.What is 4/7 + (−2/5)? (a) 6/35 (b) −6/35 (c) 1/6 (d) 34/35
  14. 14.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −5/4 (d) −12/15
  15. 15.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  16. 16.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−4/7) + 2/5? (a) −34/35 (b) −6/35 (c) 6/35 (d) −1/6
  18. 18.Is −7/(−2) positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −3/7 or −1/2? (a) −3/7 (b) −1/2
  20. 20.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  21. 21.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −4/20
  22. 22.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7
  23. 23.Is 4/4 positive or negative? (a) Positive (b) Negative
  24. 24.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −4/12 (c) 1/3 (d) −1/3
  25. 25.Is −1/5 positive or negative? (a) Negative (b) Positive
  26. 26.Which is smaller: −8/9 or 3/8? (a) 3/8 (b) −8/9
  27. 27.What is (−3/7) + 3/5? (a) 6/35 (b) 0 (c) −6/35 (d) −36/35
  28. 28.Which is smaller: −5/8 or −3/8? (a) −5/8 (b) −3/8
  29. 29.What is (−1/6) + (−1/2)? (a) 1/3 (b) 2/3 (c) −1/4 (d) −2/3
  30. 30.Write −8/28 in standard form (lowest terms, positive denominator). (a) −8/28 (b) 2/7 (c) −2/7 (d) −7/2
  31. 31.Write −5/25 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/25 (d) −5/1
  32. 32.What is (−1/2) − 6/7? (a) −7/9 (b) −19/14 (c) 5/14 (d) 19/14
  33. 33.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  34. 34.Which is bigger: −1/3 or −4/7? (a) −4/7 (b) −1/3
  35. 35.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −15/18 (c) −6/5 (d) −5/6
  36. 36.What is the additive inverse of 5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  37. 37.What is (−5/8) + 2/7? (a) −51/56 (b) −19/56 (c) 19/56 (d) −1/5
  38. 38.Which is bigger: −1/5 or 1/2? (a) 1/2 (b) −1/5
  39. 39.Which is bigger: −5/6 or 7/8? (a) −5/6 (b) 7/8
  40. 40.Is 7/(−7) positive or negative? (a) Positive (b) Negative

Answer key

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

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