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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 337 · 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 the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  2. 2.What is (−1/5) + 3/4? (a) −19/20 (b) −11/20 (c) 2/9 (d) 11/20
  3. 3.What is 1/9 − (−7/9)? (a) 4/9 (b) 8/9 (c) −8/9 (d) −2/3
  4. 4.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) −2/3 (c) 2/3 (d) −3/2
  5. 5.What is (−1/2) − 5/9? (a) 19/18 (b) −19/18 (c) −6/11 (d) 1/18
  6. 6.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −7/5 (d) −25/35
  7. 7.Is −1/9 positive or negative? (a) Negative (b) Positive
  8. 8.Is 1/6 positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  10. 10.What is (−8/9) + 3/7? (a) −29/63 (b) −83/63 (c) 29/63 (d) −5/16
  11. 11.Is −5/9 positive or negative? (a) Positive (b) Negative
  12. 12.Which is bigger: −6/7 or 7/8? (a) 7/8 (b) −6/7
  13. 13.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −8/36 (c) −9/2 (d) −2/9
  14. 14.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  15. 15.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) −9/8 (c) 8/9 (d) −8/9
  16. 16.What is (−1/8) + 1/3? (a) −11/24 (b) −5/24 (c) 0 (d) 5/24
  17. 17.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −2/8 (d) 1/4
  18. 18.Which is bigger: −1/5 or −5/7? (a) −1/5 (b) −5/7
  19. 19.Write −2/18 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −2/18 (d) 1/9
  20. 20.What is the additive inverse of 1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  21. 21.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  22. 22.Is 5/2 positive or negative? (a) Negative (b) Positive
  23. 23.What is (−4/5) + 1/9? (a) −3/14 (b) 31/45 (c) −41/45 (d) −31/45
  24. 24.Which is bigger: −2/5 or −4/9? (a) −4/9 (b) −2/5
  25. 25.Which is bigger: −2/9 or −3/5? (a) −2/9 (b) −3/5
  26. 26.What is 1/2 − (−5/6)? (a) −1/3 (b) 3/4 (c) −4/3 (d) 4/3
  27. 27.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −4/12
  28. 28.Is −4/3 positive or negative? (a) Negative (b) Positive
  29. 29.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −12/54 (c) −2/9 (d) −9/2
  30. 30.Which is bigger: −4/9 or −7/8? (a) −4/9 (b) −7/8
  31. 31.What is (−4/9) + 5/9? (a) −1/9 (b) 1/18 (c) 1/9 (d) −1
  32. 32.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  33. 33.What is 1/4 + (−3/5)? (a) 17/20 (b) 7/20 (c) −7/20 (d) −2/9
  34. 34.Is −3/8 positive or negative? (a) Positive (b) Negative
  35. 35.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  36. 36.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −1/2 (d) −2/1
  37. 37.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  38. 38.Which is bigger: −1/5 or −1/4? (a) −1/4 (b) −1/5
  39. 39.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −5/30 (b) −6/1 (c) −1/6 (d) 1/6
  40. 40.What is 7/8 − (−7/9)? (a) −119/72 (b) 7/72 (c) 119/72 (d) 14/17

Answer key

  1. 7/6
  2. 11/20
  3. 8/9
  4. −2/3
  5. −19/18
  6. −5/7
  7. Negative
  8. Positive
  9. −5/4
  10. −29/63
  11. Negative
  12. 7/8
  13. −2/9
  14. 8
  15. −8/9
  16. 5/24
  17. −1/4
  18. −1/5
  19. −1/9
  20. −1/8
  21. Negative
  22. Positive
  23. −31/45
  24. −2/5
  25. −2/9
  26. 4/3
  27. −1/3
  28. Negative
  29. −2/9
  30. −4/9
  31. 1/9
  32. 9/2
  33. −7/20
  34. Negative
  35. 7/2
  36. −1/2
  37. 5/2
  38. −1/5
  39. −1/6
  40. 119/72

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