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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 771 · 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: −5/7 or −4/5? (a) −5/7 (b) −4/5
  2. 2.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  3. 3.Which is bigger: −6/7 or −1/4? (a) −6/7 (b) −1/4
  4. 4.Which is smaller: −5/8 or −3/5? (a) −3/5 (b) −5/8
  5. 5.What is the additive inverse of −1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  6. 6.What is the additive inverse of −3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  7. 7.What is 4/7 − (−5/7)? (a) 9/7 (b) 9/14 (c) −1/7 (d) −9/7
  8. 8.What is (−1/3) − (−1/6)? (a) 1/6 (b) −1/6 (c) 0 (d) −1/2
  9. 9.Which is bigger: −4/5 or 3/5? (a) 3/5 (b) −4/5
  10. 10.What is the additive inverse of −5/7? (a) 5/7 (b) −5/7 (c) 7/5 (d) −7/5
  11. 11.What is (−3/7) − 2/7? (a) −1/7 (b) −5/7 (c) 5/7 (d) −5/14
  12. 12.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  13. 13.What is the additive inverse of −5/6? (a) 5/6 (b) −6/5 (c) 6/5 (d) −5/6
  14. 14.What is 5/6 − (−2/3)? (a) −3/2 (b) 7/9 (c) 1/6 (d) 3/2
  15. 15.What is (−3/4) + (−1/3)? (a) −5/12 (b) −4/7 (c) 13/12 (d) −13/12
  16. 16.Which is bigger: −5/8 or 5/7? (a) −5/8 (b) 5/7
  17. 17.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  18. 18.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  19. 19.What is (−2/9) + 4/9? (a) −2/3 (b) 2/9 (c) 1/9 (d) −2/9
  20. 20.Write −4/14 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −4/14 (d) −7/2
  21. 21.Which is bigger: −4/9 or 1/9? (a) −4/9 (b) 1/9
  22. 22.Is −6/3 positive or negative? (a) Negative (b) Positive
  23. 23.What is (−5/9) + (−4/7)? (a) 71/63 (b) −9/16 (c) 1/63 (d) −71/63
  24. 24.What is (−1/2) − 1/6? (a) −2/3 (b) −1/3 (c) 2/3 (d) −1/4
  25. 25.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −12/15 (c) −4/5 (d) 4/5
  26. 26.What is (−5/8) + 4/9? (a) −77/72 (b) −1/17 (c) −13/72 (d) 13/72
  27. 27.What is the additive inverse of 1/5? (a) 5 (b) −5 (c) 1/5 (d) −1/5
  28. 28.Write −20/24 in standard form (lowest terms, positive denominator). (a) −20/24 (b) 5/6 (c) −6/5 (d) −5/6
  29. 29.What is (−3/5) + (−8/9)? (a) 67/45 (b) −67/45 (c) 13/45 (d) −11/14
  30. 30.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  31. 31.What is 4/5 − (−3/4)? (a) −31/20 (b) 7/9 (c) 1/20 (d) 31/20
  32. 32.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) −1/7 (c) 1/7 (d) −7/1
  33. 33.Which is bigger: −3/7 or 1/8? (a) −3/7 (b) 1/8
  34. 34.Write −5/25 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/25 (c) −5/1 (d) 1/5
  35. 35.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  36. 36.What is the additive inverse of 4/9? (a) 9/4 (b) −9/4 (c) 4/9 (d) −4/9
  37. 37.What is the additive inverse of 1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  38. 38.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −20/35 (d) −4/7
  39. 39.Which is smaller: −1/6 or 1/4? (a) −1/6 (b) 1/4
  40. 40.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −25/35 (c) −5/7 (d) 5/7

Answer key

  1. −5/7
  2. −7/2
  3. −1/4
  4. −5/8
  5. 1/5
  6. 3/7
  7. 9/7
  8. −1/6
  9. 3/5
  10. 5/7
  11. −5/7
  12. Negative
  13. 5/6
  14. 3/2
  15. −13/12
  16. 5/7
  17. 5/2
  18. −9/7
  19. 2/9
  20. −2/7
  21. 1/9
  22. Negative
  23. −71/63
  24. −2/3
  25. −4/5
  26. −13/72
  27. −1/5
  28. −5/6
  29. −67/45
  30. Positive
  31. 31/20
  32. −1/7
  33. 1/8
  34. −1/5
  35. −7
  36. −4/9
  37. −1/8
  38. −4/7
  39. −1/6
  40. −5/7

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