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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 178 · 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 − (−3/7)? (a) 5/8 (b) 76/63 (c) 22/63 (d) −76/63
  2. 2.What is 2/7 − (−2/5)? (a) 24/35 (b) 1/3 (c) −4/35 (d) −24/35
  3. 3.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −1/4 or −2/3? (a) −2/3 (b) −1/4
  5. 5.Which is smaller: −5/6 or −5/9? (a) −5/6 (b) −5/9
  6. 6.Which is bigger: −2/3 or −2/5? (a) −2/5 (b) −2/3
  7. 7.What is (−5/7) + 5/9? (a) 10/63 (b) −80/63 (c) −10/63 (d) 0
  8. 8.What is the additive inverse of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2
  9. 9.Is 1/6 positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −1/3 or −8/9? (a) −8/9 (b) −1/3
  11. 11.What is the additive inverse of 1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  12. 12.Which is smaller: −1/3 or 1/4? (a) −1/3 (b) 1/4
  13. 13.What is 6/7 − (−7/8)? (a) −97/56 (b) 13/15 (c) −1/56 (d) 97/56
  14. 14.Which is bigger: −1/7 or 3/8? (a) 3/8 (b) −1/7
  15. 15.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−3/4) − 5/9? (a) −8/13 (b) 47/36 (c) −7/36 (d) −47/36
  17. 17.What is (−1/2) + 5/9? (a) −19/18 (b) 4/11 (c) −1/18 (d) 1/18
  18. 18.What is the additive inverse of −1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  19. 19.What is (−1/4) − 2/5? (a) −13/20 (b) 13/20 (c) 3/20 (d) −1/3
  20. 20.What is (−2/5) + 2/5? (a) −4/5 (b) 0
  21. 21.Which is smaller: −2/3 or −1/6? (a) −2/3 (b) −1/6
  22. 22.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/9 (b) −1/3 (c) −3/1 (d) 1/3
  23. 23.What is 5/9 − (−5/9)? (a) −10/9 (b) 5/9 (c) 0 (d) 10/9
  24. 24.Which is bigger: −2/7 or −1/3? (a) −2/7 (b) −1/3
  25. 25.Which is smaller: −3/4 or 4/7? (a) 4/7 (b) −3/4
  26. 26.Which is smaller: −4/5 or −5/6? (a) −5/6 (b) −4/5
  27. 27.Which is bigger: −4/9 or −1/5? (a) −1/5 (b) −4/9
  28. 28.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −10/15 (c) 2/3 (d) −3/2
  29. 29.What is (−1/9) + 6/7? (a) 5/16 (b) −61/63 (c) −47/63 (d) 47/63
  30. 30.What is (−1/6) + 3/4? (a) −7/12 (b) 7/12 (c) −11/12 (d) 1/5
  31. 31.What is 1/8 + (−3/5)? (a) 29/40 (b) −19/40 (c) −2/13 (d) 19/40
  32. 32.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −7/9 or 3/7? (a) −7/9 (b) 3/7
  34. 34.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −7/3 (c) −3/7 (d) 3/7
  35. 35.What is (−4/9) − (−7/9)? (a) −11/9 (b) −1/3 (c) 1/6 (d) 1/3
  36. 36.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −21/27
  37. 37.Which is smaller: −2/3 or −4/5? (a) −2/3 (b) −4/5
  38. 38.What is 8/9 − (−1/4)? (a) 23/36 (b) 41/36 (c) 9/13 (d) −41/36
  39. 39.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −24/27 (c) −9/8 (d) 8/9
  40. 40.What is (−1/9) + 3/4? (a) 23/36 (b) 2/13 (c) −23/36 (d) −31/36

Answer key

  1. 76/63
  2. 24/35
  3. Negative
  4. −2/3
  5. −5/6
  6. −2/5
  7. −10/63
  8. −2/5
  9. Positive
  10. −8/9
  11. −1/6
  12. −1/3
  13. 97/56
  14. 3/8
  15. Positive
  16. −47/36
  17. 1/18
  18. 1/7
  19. −13/20
  20. 0
  21. −2/3
  22. −1/3
  23. 10/9
  24. −2/7
  25. −3/4
  26. −5/6
  27. −1/5
  28. −2/3
  29. 47/63
  30. 7/12
  31. −19/40
  32. Positive
  33. 3/7
  34. 7/3
  35. 1/3
  36. −7/9
  37. −4/5
  38. 41/36
  39. −8/9
  40. 23/36

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