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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 805 · 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 1/4 + (−4/5)? (a) 21/20 (b) 11/20 (c) −1/3 (d) −11/20
  2. 2.What is (−2/3) − 4/7? (a) 26/21 (b) −2/21 (c) −3/5 (d) −26/21
  3. 3.What is (−2/5) + 3/5? (a) −1 (b) 1/5 (c) −1/5 (d) 1/10
  4. 4.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  5. 5.What is (−3/4) − (−1/3)? (a) −2/7 (b) 5/12 (c) −5/12 (d) −13/12
  6. 6.What is (−7/9) − 5/6? (a) 1/18 (b) −4/5 (c) 29/18 (d) −29/18
  7. 7.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  8. 8.What is the additive inverse of −5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  9. 9.What is (−1/9) − (−2/9)? (a) −1/9 (b) 1/18 (c) 1/9 (d) −1/3
  10. 10.Is −8/2 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−6/7) − (−5/9)? (a) −19/63 (b) 19/63 (c) −89/63 (d) −1/16
  12. 12.Which is bigger: −1/4 or −1/2? (a) −1/2 (b) −1/4
  13. 13.Which is bigger: −2/7 or 4/9? (a) 4/9 (b) −2/7
  14. 14.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −5/6 (d) −6/5
  15. 15.What is the additive inverse of 4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  16. 16.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −14/16 (d) −7/8
  17. 17.Write −4/28 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −4/28 (c) 1/7 (d) −7/1
  18. 18.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) 5/6 (c) −5/6 (d) −6/5
  19. 19.What is 1/5 + (−5/8)? (a) 17/40 (b) −17/40 (c) −4/13 (d) 33/40
  20. 20.What is 5/9 − (−3/4)? (a) −47/36 (b) 47/36 (c) 8/13 (d) −7/36
  21. 21.Which is bigger: −4/7 or −1/2? (a) −4/7 (b) −1/2
  22. 22.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  23. 23.Is −5/9 positive or negative? (a) Positive (b) Negative
  24. 24.Which is smaller: −1/5 or 3/5? (a) −1/5 (b) 3/5
  25. 25.Which is bigger: −1/6 or −7/9? (a) −7/9 (b) −1/6
  26. 26.Which is smaller: −4/5 or 1/6? (a) 1/6 (b) −4/5
  27. 27.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) 2/7 (d) −7/2
  28. 28.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) 3/4 (c) −4/3 (d) −3/4
  29. 29.What is (−2/9) − 1/3? (a) 5/9 (b) −1/4 (c) 1/9 (d) −5/9
  30. 30.What is (−8/9) − 3/8? (a) −91/72 (b) −11/17 (c) −37/72 (d) 91/72
  31. 31.What is (−7/9) + (−1/7)? (a) −1/2 (b) 58/63 (c) −40/63 (d) −58/63
  32. 32.What is 3/7 + (−1/3)? (a) 1/5 (b) 16/21 (c) −2/21 (d) 2/21
  33. 33.Which is smaller: −5/9 or 4/7? (a) 4/7 (b) −5/9
  34. 34.What is (−2/3) + (−3/5)? (a) −1/15 (b) 19/15 (c) −5/8 (d) −19/15
  35. 35.What is (−1/5) − 5/9? (a) −3/7 (b) 16/45 (c) −34/45 (d) 34/45
  36. 36.Is −1/7 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−1/3) − 3/7? (a) 16/21 (b) −2/5 (c) 2/21 (d) −16/21
  38. 38.Is −8/(−2) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−1/8) + (−8/9)? (a) 73/72 (b) 55/72 (c) −9/17 (d) −73/72
  40. 40.Which is bigger: −1/8 or 2/7? (a) −1/8 (b) 2/7

Answer key

  1. −11/20
  2. −26/21
  3. 1/5
  4. −2
  5. −5/12
  6. −29/18
  7. −3/8
  8. 5/9
  9. 1/9
  10. Negative
  11. −19/63
  12. −1/4
  13. 4/9
  14. −5/6
  15. −4/5
  16. −7/8
  17. −1/7
  18. −5/6
  19. −17/40
  20. 47/36
  21. −1/2
  22. 7/3
  23. Negative
  24. −1/5
  25. −1/6
  26. −4/5
  27. −2/7
  28. −3/4
  29. −5/9
  30. −91/72
  31. −58/63
  32. 2/21
  33. −5/9
  34. −19/15
  35. −34/45
  36. Negative
  37. −16/21
  38. Positive
  39. −73/72
  40. 2/7

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