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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 780 · 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 (−7/9) + (−1/2)? (a) −8/11 (b) −5/18 (c) 23/18 (d) −23/18
  2. 2.What is 5/7 + (−2/7)? (a) 3/7 (b) 1 (c) −3/7 (d) 3/14
  3. 3.What is (−2/7) + 1/2? (a) −1/9 (b) −3/14 (c) 3/14 (d) −11/14
  4. 4.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −10/15 (c) −2/3 (d) −3/2
  5. 5.Which is smaller: −6/7 or −1/8? (a) −6/7 (b) −1/8
  6. 6.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −18/21 (c) −7/6 (d) −6/7
  7. 7.What is 1/9 − (−3/5)? (a) −22/45 (b) 32/45 (c) −32/45 (d) 2/7
  8. 8.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −5/20 (c) −1/4 (d) −4/1
  9. 9.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  10. 10.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −6/42 (b) −7/1 (c) 1/7 (d) −1/7
  11. 11.What is 5/8 − (−1/5)? (a) 6/13 (b) 33/40 (c) −33/40 (d) 17/40
  12. 12.What is (−1/3) + 5/7? (a) −22/21 (b) 2/5 (c) −8/21 (d) 8/21
  13. 13.What is 1/8 − (−7/8)? (a) −3/4 (b) 1 (c) 1/2 (d) −1
  14. 14.What is the additive inverse of 8/9? (a) −9/8 (b) 8/9 (c) −8/9 (d) 9/8
  15. 15.Which is smaller: −1/5 or −4/7? (a) −4/7 (b) −1/5
  16. 16.What is 4/9 + (−1/4)? (a) −7/36 (b) 25/36 (c) 3/13 (d) 7/36
  17. 17.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −7/9 (c) −9/7 (d) 9/7
  18. 18.Write −42/54 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −42/54 (c) −9/7 (d) −7/9
  19. 19.What is (−1/7) + (−2/3)? (a) −17/21 (b) 17/21 (c) −3/10 (d) 11/21
  20. 20.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −6/14 (c) −3/7 (d) 3/7
  21. 21.Which is bigger: −5/6 or −4/9? (a) −5/6 (b) −4/9
  22. 22.Is −7/8 positive or negative? (a) Negative (b) Positive
  23. 23.Which is smaller: −3/7 or −1/8? (a) −1/8 (b) −3/7
  24. 24.Is 8/9 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/6) − 1/2? (a) −2/3 (b) 2/3 (c) −1/4 (d) 1/3
  26. 26.What is the additive inverse of −4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  27. 27.Which is smaller: −2/7 or −4/5? (a) −2/7 (b) −4/5
  28. 28.What is 6/7 − (−2/3)? (a) 4/5 (b) −32/21 (c) 32/21 (d) 4/21
  29. 29.Which is bigger: −1/2 or −5/9? (a) −5/9 (b) −1/2
  30. 30.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/9 (b) −1/3 (c) 1/3 (d) −3/1
  31. 31.What is (−1/6) + 1/2? (a) −2/3 (b) −1/3 (c) 0 (d) 1/3
  32. 32.Is −1/(−2) positive or negative? (a) Positive (b) Negative
  33. 33.What is 5/6 − (−4/5)? (a) −49/30 (b) 1/30 (c) 9/11 (d) 49/30
  34. 34.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  35. 35.What is (−1/3) + (−5/9)? (a) 2/9 (b) 8/9 (c) −1/2 (d) −8/9
  36. 36.What is 5/6 + (−1/3)? (a) −1/2 (b) 4/9 (c) 7/6 (d) 1/2
  37. 37.Which is smaller: −3/7 or 2/9? (a) −3/7 (b) 2/9
  38. 38.Which is smaller: −1/5 or 1/8? (a) −1/5 (b) 1/8
  39. 39.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  40. 40.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −3/12 (d) 1/4

Answer key

  1. −23/18
  2. 3/7
  3. 3/14
  4. −2/3
  5. −6/7
  6. −6/7
  7. 32/45
  8. −1/4
  9. 9/8
  10. −1/7
  11. 33/40
  12. 8/21
  13. 1
  14. −8/9
  15. −4/7
  16. 7/36
  17. −9/7
  18. −7/9
  19. −17/21
  20. −3/7
  21. −4/9
  22. Negative
  23. −3/7
  24. Positive
  25. −2/3
  26. 4/9
  27. −4/5
  28. 32/21
  29. −1/2
  30. −1/3
  31. 1/3
  32. Positive
  33. 49/30
  34. 9/4
  35. −8/9
  36. 1/2
  37. −3/7
  38. −1/5
  39. Positive
  40. −1/4

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