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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 103 · 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 (−4/7) + 4/9? (a) 8/63 (b) −8/63 (c) 0 (d) −64/63
  2. 2.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  3. 3.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  4. 4.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −18/30 (c) −5/3 (d) −3/5
  5. 5.Which is smaller: −1/9 or −2/5? (a) −1/9 (b) −2/5
  6. 6.What is (−4/7) + 1/8? (a) 25/56 (b) −25/56 (c) −39/56 (d) −1/5
  7. 7.Write −2/12 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −2/12 (d) −1/6
  8. 8.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −12/27 (d) −4/9
  9. 9.Which is bigger: −1/4 or 4/9? (a) 4/9 (b) −1/4
  10. 10.Which is bigger: −5/6 or −1/2? (a) −5/6 (b) −1/2
  11. 11.Which is bigger: −3/7 or 1/2? (a) −3/7 (b) 1/2
  12. 12.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  13. 13.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  14. 14.What is (−1/3) − (−5/7)? (a) −8/21 (b) 8/21 (c) 2/5 (d) −22/21
  15. 15.What is (−1/6) + 7/9? (a) −17/18 (b) 11/18 (c) 2/5 (d) −11/18
  16. 16.Which is bigger: −5/6 or 3/7? (a) −5/6 (b) 3/7
  17. 17.Write −12/54 in standard form (lowest terms, positive denominator). (a) −12/54 (b) 2/9 (c) −2/9 (d) −9/2
  18. 18.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  19. 19.Is −5/(−6) positive or negative? (a) Positive (b) Negative
  20. 20.Is −9/8 positive or negative? (a) Negative (b) Positive
  21. 21.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −6/30
  22. 22.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −24/42 (c) −4/7 (d) −7/4
  23. 23.Is 2/3 positive or negative? (a) Negative (b) Positive
  24. 24.Which is smaller: −7/9 or 1/7? (a) 1/7 (b) −7/9
  25. 25.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.Is 2/5 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −2/7 or −1/7? (a) −1/7 (b) −2/7
  28. 28.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −7/4 (c) −4/7 (d) 4/7
  29. 29.What is (−7/9) + 1/3? (a) −10/9 (b) −4/9 (c) 4/9 (d) −1/2
  30. 30.What is 1/9 − (−4/9)? (a) 5/18 (b) 5/9 (c) −1/3 (d) −5/9
  31. 31.What is (−7/9) + (−3/8)? (a) −83/72 (b) −29/72 (c) −10/17 (d) 83/72
  32. 32.What is 2/9 + (−5/8)? (a) −3/17 (b) 61/72 (c) −29/72 (d) 29/72
  33. 33.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  34. 34.Which is smaller: −8/9 or −4/9? (a) −4/9 (b) −8/9
  35. 35.What is 2/5 + (−6/7)? (a) 16/35 (b) −1/3 (c) −16/35 (d) 44/35
  36. 36.Write −12/20 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −12/20 (d) 3/5
  37. 37.What is the additive inverse of −7/9? (a) 7/9 (b) 9/7 (c) −7/9 (d) −9/7
  38. 38.Is 5/8 positive or negative? (a) Negative (b) Positive
  39. 39.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −30/54
  40. 40.What is (−4/5) + 6/7? (a) −2/35 (b) 2/35 (c) 1/6 (d) −58/35

Answer key

  1. −8/63
  2. −1/4
  3. Positive
  4. −3/5
  5. −2/5
  6. −25/56
  7. −1/6
  8. −4/9
  9. 4/9
  10. −1/2
  11. 1/2
  12. −7/4
  13. −7/5
  14. 8/21
  15. 11/18
  16. 3/7
  17. −2/9
  18. Negative
  19. Positive
  20. Negative
  21. −1/5
  22. −4/7
  23. Positive
  24. −7/9
  25. Negative
  26. Positive
  27. −2/7
  28. −4/7
  29. −4/9
  30. 5/9
  31. −83/72
  32. −29/72
  33. 6
  34. −8/9
  35. −16/35
  36. −3/5
  37. 7/9
  38. Positive
  39. −5/9
  40. 2/35

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