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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 879 · 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 smaller: −1/3 or 4/9? (a) −1/3 (b) 4/9
  2. 2.What is (−7/9) − 1/6? (a) −11/18 (b) 17/18 (c) −8/15 (d) −17/18
  3. 3.Which is bigger: −2/9 or −4/5? (a) −2/9 (b) −4/5
  4. 4.Write −3/21 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −3/21
  5. 5.Which is smaller: −4/7 or −1/3? (a) −1/3 (b) −4/7
  6. 6.Write −4/8 in standard form (lowest terms, positive denominator). (a) −4/8 (b) −2/1 (c) 1/2 (d) −1/2
  7. 7.What is (−1/7) − 6/7? (a) 1 (b) −1/2 (c) 5/7 (d) −1
  8. 8.What is (−3/4) + 5/8? (a) 1/6 (b) 1/8 (c) −1/8 (d) −11/8
  9. 9.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/7) + (−3/4)? (a) 17/28 (b) 25/28 (c) −4/11 (d) −25/28
  11. 11.What is 5/9 + (−2/9)? (a) −1/3 (b) 1/3 (c) 7/9 (d) 1/6
  12. 12.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  13. 13.Which is bigger: −4/5 or −1/4? (a) −1/4 (b) −4/5
  14. 14.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) −2/3 (d) 3/2
  15. 15.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) 1/4 (d) −1/4
  16. 16.What is (−1/6) − 3/5? (a) −23/30 (b) 13/30 (c) −4/11 (d) 23/30
  17. 17.What is 3/8 + (−1/5)? (a) 7/40 (b) 23/40 (c) 2/13 (d) −7/40
  18. 18.What is (−5/7) + (−3/5)? (a) −2/3 (b) −46/35 (c) 46/35 (d) −4/35
  19. 19.Is −1/7 positive or negative? (a) Negative (b) Positive
  20. 20.Which is bigger: −7/9 or 3/5? (a) 3/5 (b) −7/9
  21. 21.What is (−4/7) + 3/5? (a) −1/35 (b) −41/35 (c) −1/12 (d) 1/35
  22. 22.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  23. 23.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −3/15
  24. 24.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  25. 25.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −12/27 (c) −4/9 (d) 4/9
  26. 26.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  27. 27.Which is bigger: −5/7 or −1/9? (a) −1/9 (b) −5/7
  28. 28.What is (−5/9) + 4/9? (a) 1/9 (b) −1 (c) −1/9 (d) −1/18
  29. 29.What is (−5/8) + (−1/2)? (a) −3/5 (b) −9/8 (c) −1/8 (d) 9/8
  30. 30.Is −7/4 positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  32. 32.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  33. 33.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) −7/3 (d) 3/7
  34. 34.Write −20/45 in standard form (lowest terms, positive denominator). (a) −20/45 (b) −9/4 (c) −4/9 (d) 4/9
  35. 35.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −15/35 (d) 3/7
  36. 36.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  37. 37.What is (−7/9) + (−7/9)? (a) 0 (b) −7/9 (c) 14/9 (d) −14/9
  38. 38.What is (−2/9) − 5/9? (a) −7/18 (b) 7/9 (c) −7/9 (d) 1/3
  39. 39.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) −1/5 (d) 1/5
  40. 40.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) −7/3 (c) 7/3 (d) 3/7

Answer key

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

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