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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 129 · 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.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) 7/9 (d) −14/18
  2. 2.Which is bigger: −8/9 or 7/8? (a) 7/8 (b) −8/9
  3. 3.Write −9/21 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −9/21 (d) 3/7
  4. 4.What is (−7/9) − (−5/9)? (a) −1/9 (b) −2/9 (c) 2/9 (d) −4/3
  5. 5.What is the additive inverse of 5/7? (a) −5/7 (b) 5/7 (c) −7/5 (d) 7/5
  6. 6.Is 1/7 positive or negative? (a) Negative (b) Positive
  7. 7.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  8. 8.Which is smaller: −7/8 or 3/8? (a) 3/8 (b) −7/8
  9. 9.What is the additive inverse of 7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  10. 10.Write −20/35 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −20/35 (c) 4/7 (d) −4/7
  11. 11.What is (−3/4) − (−2/7)? (a) −29/28 (b) 13/28 (c) −1/11 (d) −13/28
  12. 12.What is (−3/5) + 5/7? (a) −46/35 (b) −4/35 (c) 4/35 (d) 1/6
  13. 13.Which is bigger: −2/9 or 5/6? (a) 5/6 (b) −2/9
  14. 14.What is (−2/3) − (−1/3)? (a) −1/6 (b) 1/3 (c) −1 (d) −1/3
  15. 15.What is (−3/4) − (−7/9)? (a) −55/36 (b) 1/36 (c) 4/13 (d) −1/36
  16. 16.What is 5/7 − (−3/4)? (a) −1/28 (b) 8/11 (c) −41/28 (d) 41/28
  17. 17.What is (−1/2) + 2/9? (a) 1/11 (b) 5/18 (c) −13/18 (d) −5/18
  18. 18.Which is bigger: −1/3 or −1/7? (a) −1/7 (b) −1/3
  19. 19.Which is bigger: −4/9 or 1/5? (a) −4/9 (b) 1/5
  20. 20.Which is bigger: −5/7 or −1/7? (a) −5/7 (b) −1/7
  21. 21.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  22. 22.Is −3/(−8) positive or negative? (a) Negative (b) Positive
  23. 23.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −5/7 or −2/7? (a) −5/7 (b) −2/7
  25. 25.Is 7/3 positive or negative? (a) Positive (b) Negative
  26. 26.What is 1/3 + (−5/7)? (a) −8/21 (b) 8/21 (c) −2/5 (d) 22/21
  27. 27.What is (−2/7) + 5/8? (a) 1/5 (b) −19/56 (c) 19/56 (d) −51/56
  28. 28.What is the additive inverse of 5/6? (a) 5/6 (b) 6/5 (c) −5/6 (d) −6/5
  29. 29.What is (−4/5) − 1/5? (a) −3/5 (b) −1/2 (c) 1 (d) −1
  30. 30.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  31. 31.What is (−1/3) + 1/7? (a) 0 (b) 4/21 (c) −10/21 (d) −4/21
  32. 32.What is 6/7 + (−1/5)? (a) 37/35 (b) −23/35 (c) 23/35 (d) 5/12
  33. 33.Which is bigger: −2/9 or −4/9? (a) −4/9 (b) −2/9
  34. 34.What is (−4/5) + 3/7? (a) 13/35 (b) −1/12 (c) −13/35 (d) −43/35
  35. 35.What is (−7/8) − (−7/8)? (a) 0 (b) −7/4
  36. 36.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −6/14 (d) −3/7
  37. 37.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −8/10 (c) 4/5 (d) −4/5
  38. 38.What is (−5/7) − 3/5? (a) −4/35 (b) −2/3 (c) 46/35 (d) −46/35
  39. 39.What is (−3/8) − (−7/9)? (a) −83/72 (b) 4/17 (c) −29/72 (d) 29/72
  40. 40.Which is smaller: −2/3 or −1/5? (a) −1/5 (b) −2/3

Answer key

  1. −7/9
  2. 7/8
  3. −3/7
  4. −2/9
  5. −5/7
  6. Positive
  7. −5/9
  8. −7/8
  9. −7/9
  10. −4/7
  11. −13/28
  12. 4/35
  13. 5/6
  14. −1/3
  15. 1/36
  16. 41/28
  17. −5/18
  18. −1/7
  19. 1/5
  20. −1/7
  21. 5/2
  22. Positive
  23. Negative
  24. −2/7
  25. Positive
  26. −8/21
  27. 19/56
  28. −5/6
  29. −1
  30. 6/5
  31. −4/21
  32. 23/35
  33. −2/9
  34. −13/35
  35. 0
  36. −3/7
  37. −4/5
  38. −46/35
  39. 29/72
  40. −2/3

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