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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 914 · 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 bigger: −4/5 or −1/6? (a) −1/6 (b) −4/5
  2. 2.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  3. 3.What is 4/7 − (−2/3)? (a) 3/5 (b) −2/21 (c) 26/21 (d) −26/21
  4. 4.Which is smaller: −1/7 or −8/9? (a) −8/9 (b) −1/7
  5. 5.What is the additive inverse of −2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  6. 6.Which is smaller: −3/8 or 5/8? (a) −3/8 (b) 5/8
  7. 7.What is (−1/4) + 2/3? (a) 1/7 (b) 5/12 (c) −11/12 (d) −5/12
  8. 8.What is (−1/2) − 7/9? (a) 23/18 (b) 5/18 (c) −23/18 (d) −8/11
  9. 9.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −6/42 (d) −1/7
  10. 10.What is (−7/8) + (−4/9)? (a) 95/72 (b) −11/17 (c) −31/72 (d) −95/72
  11. 11.Which is bigger: −4/9 or 5/6? (a) 5/6 (b) −4/9
  12. 12.What is (−3/8) − 7/9? (a) 83/72 (b) −10/17 (c) 29/72 (d) −83/72
  13. 13.What is 1/8 − (−4/9)? (a) −23/72 (b) −41/72 (c) 5/17 (d) 41/72
  14. 14.What is the additive inverse of −3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  15. 15.Which is bigger: −4/5 or 1/5? (a) −4/5 (b) 1/5
  16. 16.What is 7/9 + (−1/5)? (a) 26/45 (b) 44/45 (c) 3/7 (d) −26/45
  17. 17.Which is smaller: −5/7 or 7/8? (a) −5/7 (b) 7/8
  18. 18.What is 1/8 − (−1/8)? (a) 0 (b) 1/8 (c) 1/4 (d) −1/4
  19. 19.What is (−2/3) − (−3/5)? (a) −19/15 (b) −1/15 (c) 1/15 (d) 1/8
  20. 20.Which is bigger: −1/8 or −1/2? (a) −1/2 (b) −1/8
  21. 21.What is (−1/2) − 5/9? (a) 19/18 (b) −6/11 (c) 1/18 (d) −19/18
  22. 22.Which is smaller: −3/4 or −1/6? (a) −3/4 (b) −1/6
  23. 23.What is 3/8 + (−5/8)? (a) −1/8 (b) 1/4 (c) −1/4 (d) 1
  24. 24.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  25. 25.Is 8/2 positive or negative? (a) Negative (b) Positive
  26. 26.What is 2/5 − (−8/9)? (a) 5/7 (b) 58/45 (c) −58/45 (d) −22/45
  27. 27.Which is smaller: −1/5 or −4/9? (a) −1/5 (b) −4/9
  28. 28.Which is bigger: −4/5 or −1/2? (a) −1/2 (b) −4/5
  29. 29.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −28/32 (c) −7/8 (d) −8/7
  30. 30.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  31. 31.Which is smaller: −4/9 or −1/7? (a) −4/9 (b) −1/7
  32. 32.What is 5/6 − (−1/3)? (a) 2/3 (b) −7/6 (c) 1/2 (d) 7/6
  33. 33.Which is smaller: −2/7 or −8/9? (a) −8/9 (b) −2/7
  34. 34.What is (−2/5) − (−1/7)? (a) −19/35 (b) −9/35 (c) −1/12 (d) 9/35
  35. 35.What is (−3/8) + 8/9? (a) 5/17 (b) −91/72 (c) −37/72 (d) 37/72
  36. 36.Is −2/2 positive or negative? (a) Negative (b) Positive
  37. 37.What is 5/7 + (−1/2)? (a) 4/9 (b) −3/14 (c) 17/14 (d) 3/14
  38. 38.What is (−4/9) + 6/7? (a) −26/63 (b) −82/63 (c) 1/8 (d) 26/63
  39. 39.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −18/42 (d) −7/3
  40. 40.What is (−8/9) − 5/6? (a) 31/18 (b) −1/18 (c) −13/15 (d) −31/18

Answer key

  1. −1/6
  2. 5/3
  3. 26/21
  4. −8/9
  5. 2/9
  6. −3/8
  7. 5/12
  8. −23/18
  9. −1/7
  10. −95/72
  11. 5/6
  12. −83/72
  13. 41/72
  14. 3/4
  15. 1/5
  16. 26/45
  17. −5/7
  18. 1/4
  19. −1/15
  20. −1/8
  21. −19/18
  22. −3/4
  23. −1/4
  24. −9/4
  25. Positive
  26. 58/45
  27. −4/9
  28. −1/2
  29. −7/8
  30. 1/4
  31. −4/9
  32. 7/6
  33. −8/9
  34. −9/35
  35. 37/72
  36. Negative
  37. 3/14
  38. 26/63
  39. −3/7
  40. −31/18

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