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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 265 · 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 (−3/7) − 4/9? (a) 1/63 (b) 55/63 (c) −7/16 (d) −55/63
  2. 2.What is (−5/6) − (−6/7)? (a) −1/42 (b) 1/42 (c) −71/42 (d) 1/13
  3. 3.What is (−4/9) − 7/8? (a) 31/72 (b) 95/72 (c) −95/72 (d) −11/17
  4. 4.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −2/16 (c) −8/1 (d) −1/8
  5. 5.What is the additive inverse of −3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  6. 6.Which is smaller: −1/6 or −1/8? (a) −1/8 (b) −1/6
  7. 7.What is (−3/4) − 3/8? (a) 9/8 (b) −9/8 (c) −1/2 (d) −3/8
  8. 8.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) 4/5 (c) −4/5 (d) 5/4
  9. 9.What is (−1/2) − 1/6? (a) −1/3 (b) −1/4 (c) −2/3 (d) 2/3
  10. 10.Which is bigger: −3/5 or −2/9? (a) −2/9 (b) −3/5
  11. 11.What is 1/3 − (−2/7)? (a) 13/21 (b) 1/21 (c) 3/10 (d) −13/21
  12. 12.Which is bigger: −5/6 or 1/8? (a) 1/8 (b) −5/6
  13. 13.Which is smaller: −2/3 or 2/5? (a) −2/3 (b) 2/5
  14. 14.What is (−1/9) + 7/8? (a) 6/17 (b) −71/72 (c) 55/72 (d) −55/72
  15. 15.What is (−2/3) + 2/5? (a) −16/15 (b) 4/15 (c) −4/15 (d) 0
  16. 16.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −7/1 (d) −1/7
  17. 17.What is 7/8 − (−8/9)? (a) −1/72 (b) −127/72 (c) 15/17 (d) 127/72
  18. 18.What is the additive inverse of 1/4? (a) 1/4 (b) 4 (c) −4 (d) −1/4
  19. 19.What is (−1/4) − 1/5? (a) −1/20 (b) −2/9 (c) 9/20 (d) −9/20
  20. 20.Which is bigger: −5/9 or 1/4? (a) −5/9 (b) 1/4
  21. 21.Is 9/2 positive or negative? (a) Positive (b) Negative
  22. 22.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 5/7 (c) −7/5 (d) 7/5
  23. 23.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  24. 24.What is 4/5 + (−1/4)? (a) −11/20 (b) 1/3 (c) 11/20 (d) 21/20
  25. 25.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  26. 26.Write −6/16 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −6/16 (c) −3/8 (d) 3/8
  27. 27.Which is bigger: −3/5 or 2/5? (a) 2/5 (b) −3/5
  28. 28.Is 2/2 positive or negative? (a) Positive (b) Negative
  29. 29.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  30. 30.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) 1/2 (d) −4/8
  31. 31.Which is bigger: −6/7 or −7/8? (a) −6/7 (b) −7/8
  32. 32.Which is bigger: −5/7 or 2/7? (a) −5/7 (b) 2/7
  33. 33.Which is smaller: −2/7 or −3/5? (a) −2/7 (b) −3/5
  34. 34.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −6/7 or −5/6? (a) −5/6 (b) −6/7
  36. 36.What is 3/7 − (−2/7)? (a) 5/7 (b) 1/7 (c) 5/14 (d) −5/7
  37. 37.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −35/40 (d) −7/8
  38. 38.Write −8/28 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −7/2 (d) −8/28
  39. 39.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  40. 40.Which is smaller: −3/4 or −1/6? (a) −3/4 (b) −1/6

Answer key

  1. −55/63
  2. 1/42
  3. −95/72
  4. −1/8
  5. 3/4
  6. −1/6
  7. −9/8
  8. −5/4
  9. −2/3
  10. −2/9
  11. 13/21
  12. 1/8
  13. −2/3
  14. 55/72
  15. −4/15
  16. −1/7
  17. 127/72
  18. −1/4
  19. −9/20
  20. 1/4
  21. Positive
  22. 7/5
  23. Positive
  24. 11/20
  25. −2/3
  26. −3/8
  27. 2/5
  28. Positive
  29. −1/3
  30. −1/2
  31. −6/7
  32. 2/7
  33. −3/5
  34. Positive
  35. −6/7
  36. 5/7
  37. −7/8
  38. −2/7
  39. 3/5
  40. −3/4

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