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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 751 · 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 3/4 − (−5/9)? (a) 7/36 (b) 47/36 (c) 8/13 (d) −47/36
  2. 2.Which is bigger: −1/5 or 1/9? (a) −1/5 (b) 1/9
  3. 3.What is (−1/3) + 1/6? (a) −1/2 (b) 1/6 (c) −1/6 (d) 0
  4. 4.Is −4/7 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−5/8) − 1/2? (a) −9/8 (b) 9/8 (c) −1/8 (d) −3/5
  6. 6.Which is bigger: −2/5 or −4/7? (a) −4/7 (b) −2/5
  7. 7.Which is bigger: −4/5 or 2/3? (a) −4/5 (b) 2/3
  8. 8.What is (−3/8) + 1/4? (a) −1/6 (b) 1/8 (c) −1/8 (d) −5/8
  9. 9.What is the additive inverse of 2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  10. 10.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −4/20 (d) −1/5
  11. 11.Which is bigger: −1/3 or −3/7? (a) −3/7 (b) −1/3
  12. 12.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  13. 13.What is 1/5 + (−5/8)? (a) 17/40 (b) −4/13 (c) −17/40 (d) 33/40
  14. 14.Is −3/2 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−7/8) + 5/9? (a) −2/17 (b) −23/72 (c) 23/72 (d) −103/72
  16. 16.Is −9/4 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−5/9) − 3/4? (a) 7/36 (b) −8/13 (c) 47/36 (d) −47/36
  18. 18.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) 8/5 (d) −8/5
  19. 19.What is the additive inverse of −2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  20. 20.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) −5/3 (c) 3/5 (d) −3/5
  21. 21.What is (−1/6) + 1/2? (a) −2/3 (b) 0 (c) 1/3 (d) −1/3
  22. 22.What is (−4/5) + (−3/7)? (a) −13/35 (b) −7/12 (c) 43/35 (d) −43/35
  23. 23.Is 8/8 positive or negative? (a) Positive (b) Negative
  24. 24.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  25. 25.Which is bigger: −4/9 or −1/5? (a) −1/5 (b) −4/9
  26. 26.Which is smaller: −1/2 or −3/5? (a) −3/5 (b) −1/2
  27. 27.What is (−3/8) + (−1/9)? (a) −4/17 (b) −19/72 (c) −35/72 (d) 35/72
  28. 28.Which is bigger: −5/7 or −4/7? (a) −4/7 (b) −5/7
  29. 29.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  30. 30.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  31. 31.What is 1/3 + (−1/5)? (a) 0 (b) 2/15 (c) −2/15 (d) 8/15
  32. 32.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) −5/1 (c) −1/5 (d) 1/5
  33. 33.Which is bigger: −1/7 or −7/8? (a) −1/7 (b) −7/8
  34. 34.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  35. 35.Which is smaller: −7/8 or −4/9? (a) −7/8 (b) −4/9
  36. 36.What is 5/7 + (−5/9)? (a) −10/63 (b) 80/63 (c) 0 (d) 10/63
  37. 37.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  38. 38.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  39. 39.What is (−1/3) + 5/9? (a) 1/3 (b) 2/9 (c) −8/9 (d) −2/9
  40. 40.Write −25/35 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −25/35 (d) −5/7

Answer key

  1. 47/36
  2. 1/9
  3. −1/6
  4. Negative
  5. −9/8
  6. −2/5
  7. 2/3
  8. −1/8
  9. −2/3
  10. −1/5
  11. −1/3
  12. 7/5
  13. −17/40
  14. Negative
  15. −23/72
  16. Negative
  17. −47/36
  18. 8/5
  19. 2/5
  20. −3/5
  21. 1/3
  22. −43/35
  23. Positive
  24. −9/7
  25. −1/5
  26. −3/5
  27. −35/72
  28. −4/7
  29. Positive
  30. −2/5
  31. 2/15
  32. −1/5
  33. −1/7
  34. 5/3
  35. −7/8
  36. 10/63
  37. Negative
  38. 3/2
  39. 2/9
  40. −5/7

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