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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 336 · 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 1/7 − (−2/7)? (a) 3/7 (b) −1/7 (c) −3/7 (d) 3/14
  2. 2.What is (−1/4) + 4/9? (a) −25/36 (b) 7/36 (c) 3/13 (d) −7/36
  3. 3.What is (−2/3) + 5/8? (a) 1/24 (b) −31/24 (c) 3/11 (d) −1/24
  4. 4.Is 7/4 positive or negative? (a) Positive (b) Negative
  5. 5.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −16/20 (d) −4/5
  6. 6.What is (−1/9) − 4/5? (a) 31/45 (b) 41/45 (c) −5/14 (d) −41/45
  7. 7.What is 5/9 + (−2/9)? (a) 1/3 (b) −1/3 (c) 1/6 (d) 7/9
  8. 8.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  9. 9.Is −8/8 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−2/7) − 3/7? (a) 5/7 (b) 1/7 (c) −5/14 (d) −5/7
  11. 11.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −5/1 (d) −1/5
  12. 12.What is (−1/2) + 1/6? (a) 1/3 (b) −2/3 (c) 0 (d) −1/3
  13. 13.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −10/25 (c) −2/5 (d) −5/2
  14. 14.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −4/7 or −5/9? (a) −4/7 (b) −5/9
  16. 16.What is the additive inverse of −7/9? (a) −7/9 (b) −9/7 (c) 9/7 (d) 7/9
  17. 17.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  18. 18.Write −12/42 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −12/42 (d) −7/2
  19. 19.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) −1/7 (c) 1/7 (d) −7/1
  20. 20.What is 1/3 + (−5/7)? (a) 22/21 (b) −8/21 (c) 8/21 (d) −2/5
  21. 21.What is (−6/7) − (−2/5)? (a) −44/35 (b) −1/3 (c) −16/35 (d) 16/35
  22. 22.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  23. 23.What is 1/3 − (−1/4)? (a) 2/7 (b) −7/12 (c) 7/12 (d) 1/12
  24. 24.What is 1/8 + (−2/5)? (a) 21/40 (b) −1/13 (c) 11/40 (d) −11/40
  25. 25.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −12/14 (c) 6/7 (d) −7/6
  26. 26.What is 3/5 + (−6/7)? (a) −1/4 (b) −9/35 (c) 9/35 (d) 51/35
  27. 27.What is (−2/3) + 7/8? (a) −37/24 (b) 5/11 (c) −5/24 (d) 5/24
  28. 28.Write −6/48 in standard form (lowest terms, positive denominator). (a) −6/48 (b) 1/8 (c) −1/8 (d) −8/1
  29. 29.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 7/6 (c) 6/7 (d) −7/6
  31. 31.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  32. 32.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  33. 33.What is (−2/9) − 4/9? (a) 2/3 (b) 2/9 (c) −1/3 (d) −2/3
  34. 34.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  35. 35.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  36. 36.Which is smaller: −5/6 or 4/5? (a) −5/6 (b) 4/5
  37. 37.Which is bigger: −2/3 or 5/9? (a) −2/3 (b) 5/9
  38. 38.Write −5/35 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −5/35 (c) −1/7 (d) 1/7
  39. 39.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −21/27 (d) −9/7
  40. 40.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −9/4 (d) −8/18

Answer key

  1. 3/7
  2. 7/36
  3. −1/24
  4. Positive
  5. −4/5
  6. −41/45
  7. 1/3
  8. 7/4
  9. Negative
  10. −5/7
  11. −1/5
  12. −1/3
  13. −2/5
  14. Negative
  15. −5/9
  16. 7/9
  17. −9/2
  18. −2/7
  19. −1/7
  20. −8/21
  21. −16/35
  22. 6/7
  23. 7/12
  24. −11/40
  25. −6/7
  26. −9/35
  27. 5/24
  28. −1/8
  29. Negative
  30. −7/6
  31. −5/8
  32. −7/2
  33. −2/3
  34. 9/2
  35. Positive
  36. −5/6
  37. 5/9
  38. −1/7
  39. −7/9
  40. −4/9

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