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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 381 · 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.Which is smaller: −7/9 or 5/9? (a) −7/9 (b) 5/9
  2. 2.Write −14/16 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −14/16 (d) −7/8
  3. 3.What is (−5/6) + (−2/9)? (a) −11/18 (b) −19/18 (c) 19/18 (d) −7/15
  4. 4.What is (−5/8) + 3/8? (a) −1/4 (b) −1/8 (c) 1/4 (d) −1
  5. 5.Which is smaller: −4/7 or −1/9? (a) −1/9 (b) −4/7
  6. 6.What is 3/8 + (−1/9)? (a) 19/72 (b) 35/72 (c) −19/72 (d) 2/17
  7. 7.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  8. 8.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −2/5 (c) 2/5 (d) −5/2
  9. 9.Is −3/4 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−1/2) + (−3/4)? (a) 1/4 (b) −2/3 (c) −5/4 (d) 5/4
  11. 11.What is (−7/8) − 4/9? (a) 95/72 (b) −95/72 (c) −31/72 (d) −11/17
  12. 12.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −6/27 (c) 2/9 (d) −2/9
  13. 13.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −12/54 (d) −2/9
  14. 14.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −6/8 (d) −3/4
  15. 15.What is 2/3 − (−1/9)? (a) 5/9 (b) 7/9 (c) −7/9 (d) 1/4
  16. 16.What is (−1/9) + (−3/8)? (a) 19/72 (b) 35/72 (c) −4/17 (d) −35/72
  17. 17.What is (−1/9) + 1/3? (a) −2/9 (b) 2/9 (c) 0 (d) −4/9
  18. 18.What is (−1/7) − 3/5? (a) −1/3 (b) 26/35 (c) −26/35 (d) 16/35
  19. 19.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  20. 20.Which is bigger: −3/5 or −5/9? (a) −5/9 (b) −3/5
  21. 21.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −5/45 (b) −1/9 (c) −9/1 (d) 1/9
  22. 22.Which is bigger: −2/9 or 1/2? (a) 1/2 (b) −2/9
  23. 23.Is 5/5 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/9) + 2/3? (a) 5/9 (b) −5/9 (c) 1/12 (d) −7/9
  25. 25.Which is bigger: −1/5 or 1/2? (a) 1/2 (b) −1/5
  26. 26.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) −12/18 (d) 2/3
  27. 27.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −5/1 (c) −1/5 (d) 1/5
  28. 28.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  29. 29.Is −2/9 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−3/4) + (−2/5)? (a) −5/9 (b) −23/20 (c) 23/20 (d) −7/20
  31. 31.Write −12/32 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −12/32 (c) 3/8 (d) −8/3
  32. 32.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) 2/3 (c) −3/2 (d) −2/3
  33. 33.What is (−8/9) + (−3/4)? (a) −11/13 (b) −5/36 (c) −59/36 (d) 59/36
  34. 34.What is the additive inverse of −1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  35. 35.Which is smaller: −1/8 or −1/4? (a) −1/8 (b) −1/4
  36. 36.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  37. 37.What is 8/9 − (−8/9)? (a) 16/9 (b) 8/9 (c) −16/9 (d) 0
  38. 38.Which is smaller: −1/4 or −2/5? (a) −1/4 (b) −2/5
  39. 39.What is (−5/8) − 1/5? (a) 33/40 (b) −33/40 (c) −6/13 (d) −17/40
  40. 40.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8

Answer key

  1. −7/9
  2. −7/8
  3. −19/18
  4. −1/4
  5. −4/7
  6. 19/72
  7. Positive
  8. −2/5
  9. Negative
  10. −5/4
  11. −95/72
  12. −2/9
  13. −2/9
  14. −3/4
  15. 7/9
  16. −35/72
  17. 2/9
  18. −26/35
  19. 7/2
  20. −5/9
  21. −1/9
  22. 1/2
  23. Positive
  24. 5/9
  25. 1/2
  26. −2/3
  27. −1/5
  28. Negative
  29. Negative
  30. −23/20
  31. −3/8
  32. −2/3
  33. −59/36
  34. 1/6
  35. −1/4
  36. −2
  37. 16/9
  38. −2/5
  39. −33/40
  40. −3/8

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