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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 882 · 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.Is −6/7 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−1/5) + (−3/8)? (a) −23/40 (b) 7/40 (c) 23/40 (d) −4/13
  3. 3.What is 3/8 − (−2/7)? (a) 37/56 (b) 1/3 (c) −37/56 (d) 5/56
  4. 4.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  5. 5.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −8/18 (d) −4/9
  6. 6.Which is smaller: −4/7 or −4/5? (a) −4/5 (b) −4/7
  7. 7.Which is bigger: −4/5 or −1/4? (a) −1/4 (b) −4/5
  8. 8.What is (−1/4) − 4/5? (a) −21/20 (b) 11/20 (c) −5/9 (d) 21/20
  9. 9.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  10. 10.Write −20/25 in standard form (lowest terms, positive denominator). (a) −20/25 (b) 4/5 (c) −5/4 (d) −4/5
  11. 11.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −12/15 (d) 4/5
  12. 12.Which is smaller: −3/5 or 4/9? (a) −3/5 (b) 4/9
  13. 13.Write −6/14 in standard form (lowest terms, positive denominator). (a) −6/14 (b) −7/3 (c) −3/7 (d) 3/7
  14. 14.Which is smaller: −7/9 or −2/9? (a) −2/9 (b) −7/9
  15. 15.Which is smaller: −2/9 or −3/5? (a) −2/9 (b) −3/5
  16. 16.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  17. 17.Write −24/42 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −24/42 (c) −4/7 (d) −7/4
  18. 18.What is (−4/9) + 7/9? (a) 1/3 (b) −1/3 (c) 1/6 (d) −11/9
  19. 19.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −12/16 (d) 3/4
  20. 20.What is (−2/3) + 6/7? (a) 2/5 (b) −32/21 (c) −4/21 (d) 4/21
  21. 21.What is (−1/5) + (−4/7)? (a) 13/35 (b) −27/35 (c) −5/12 (d) 27/35
  22. 22.Which is smaller: −1/2 or 7/9? (a) −1/2 (b) 7/9
  23. 23.Which is bigger: −5/9 or 4/9? (a) −5/9 (b) 4/9
  24. 24.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  25. 25.What is (−2/5) + 7/8? (a) −51/40 (b) 5/13 (c) 19/40 (d) −19/40
  26. 26.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  27. 27.What is 3/5 + (−2/3)? (a) 1/8 (b) 19/15 (c) 1/15 (d) −1/15
  28. 28.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −6/24
  29. 29.What is (−1/4) − 2/5? (a) −1/3 (b) −13/20 (c) 13/20 (d) 3/20
  30. 30.Is −4/(−4) positive or negative? (a) Negative (b) Positive
  31. 31.What is 3/8 + (−1/5)? (a) 2/13 (b) 23/40 (c) −7/40 (d) 7/40
  32. 32.Write −24/30 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −24/30 (d) −5/4
  33. 33.Write −12/14 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −12/14 (d) −7/6
  34. 34.What is the additive inverse of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  35. 35.What is the additive inverse of −2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  36. 36.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  37. 37.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −10/15
  38. 38.What is 1/3 + (−5/8)? (a) −7/24 (b) 23/24 (c) 7/24 (d) −4/11
  39. 39.What is (−7/9) − (−3/4)? (a) −1/36 (b) 1/36 (c) −4/13 (d) −55/36
  40. 40.Is 5/6 positive or negative? (a) Negative (b) Positive

Answer key

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

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