Express 3/14 as a continued fraction

In decimal terms, = 0.21428571428571

Continued Fraction Table

StartIntegerDecimal Portion
Start - Integer		Reciprocal:
1 ÷ Decimal
0.2142857142857100.2144.6729
4.672940.6731.4859
1.485910.4862.0576
2.057620.05817.2414
17.2414170.2414.1494
4.149440.1496.7114
6.711460.7111.4065
1.406510.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191
5.319150.3193.1348
3.134830.1357.4074
7.407470.4072.457
2.45720.4572.1882
2.188220.1885.3191

Stop when the difference portion = 0

Use the Integer Column

[0; 4, 1, 2, 17, 4, 6, 1, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2]


Download the mobile appGenerate a practice problemGenerate a quiz
What is the Answer?
[0; 4, 1, 2, 17, 4, 6, 1, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2, 5, 3, 7, 2, 2]
How does the Continued Fraction Calculator work?
Free Continued Fraction Calculator - Shows the continued fraction for a fraction
This calculator has 1 input.

What 2 formulas are used for the Continued Fraction Calculator?

Decimal Portion = Start - Integer
Reciprocal = 1 / Decimal Portion

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Continued Fraction Calculator?

continued fraction
a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
decimal
Number in the form a/b where the result is not a whole number
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
integer
a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...
Example calculations for the Continued Fraction Calculator
  1. Continued Fraction 1/2
  2. Continued Fraction 1/3
  3. Continued Fraction 1/4
  4. Continued Fraction 1/5
  5. Continued Fraction 1/6
  6. Continued Fraction 1/7
  7. Continued Fraction 1/8
  8. Continued Fraction 1/9
  9. Continued Fraction 1/10
  10. Continued Fraction 1/11
  11. Continued Fraction 1/12
  12. Continued Fraction 1/13
  13. Continued Fraction 1/14
  14. Continued Fraction 1/15
  15. Continued Fraction 1/16
  16. Continued Fraction 2/3
  17. Continued Fraction 2/4
  18. Continued Fraction 2/5
  19. Continued Fraction 2/6
  20. Continued Fraction 2/7
  21. Continued Fraction 2/8
  22. Continued Fraction 2/9
  23. Continued Fraction 2/10
  24. Continued Fraction 2/11
  25. Continued Fraction 2/12
  26. Continued Fraction 2/13
  27. Continued Fraction 2/14
  28. Continued Fraction 2/15
  29. Continued Fraction 2/16
  30. Continued Fraction 3/4
  31. Continued Fraction 3/5
  32. Continued Fraction 3/6
  33. Continued Fraction 3/7
  34. Continued Fraction 3/8
  35. Continued Fraction 3/9
  36. Continued Fraction 3/10
  37. Continued Fraction 3/11
  38. Continued Fraction 3/12
  39. Continued Fraction 3/13
  40. Continued Fraction 3/14
  41. Continued Fraction 3/15
  42. Continued Fraction 3/16
  43. Continued Fraction 4/5
  44. Continued Fraction 4/6
  45. Continued Fraction 4/7
  46. Continued Fraction 4/8
  47. Continued Fraction 4/9
  48. Continued Fraction 4/10
  49. Continued Fraction 4/11
  50. Continued Fraction 4/12
  51. Continued Fraction 4/13
  52. Continued Fraction 4/14
  53. Continued Fraction 4/15
  54. Continued Fraction 4/16
  55. Continued Fraction 5/6
  56. Continued Fraction 5/7
  57. Continued Fraction 5/8
  58. Continued Fraction 5/9
  59. Continued Fraction 5/10
  60. Continued Fraction 5/11
  61. Continued Fraction 5/12
  62. Continued Fraction 5/13
  63. Continued Fraction 5/14
  64. Continued Fraction 5/15
  65. Continued Fraction 5/16
  66. Continued Fraction 6/7
  67. Continued Fraction 6/8
  68. Continued Fraction 6/9
  69. Continued Fraction 6/10
  70. Continued Fraction 6/11
  71. Continued Fraction 6/12
  72. Continued Fraction 6/13
  73. Continued Fraction 6/14
  74. Continued Fraction 6/15
  75. Continued Fraction 6/16
  76. Continued Fraction 7/8
  77. Continued Fraction 7/9
  78. Continued Fraction 7/10
  79. Continued Fraction 7/11
  80. Continued Fraction 7/12
  81. Continued Fraction 7/13
  82. Continued Fraction 7/14
  83. Continued Fraction 7/15
  84. Continued Fraction 7/16
  85. Continued Fraction 8/9
  86. Continued Fraction 8/10
  87. Continued Fraction 8/11
  88. Continued Fraction 8/12
  89. Continued Fraction 8/13
  90. Continued Fraction 8/14
  91. Continued Fraction 8/15
  92. Continued Fraction 8/16
  93. Continued Fraction 9/10
  94. Continued Fraction 9/11
  95. Continued Fraction 9/12
  96. Continued Fraction 9/13
  97. Continued Fraction 9/14
  98. Continued Fraction 9/15
  99. Continued Fraction 9/16
  100. Continued Fraction 10/11
  101. Continued Fraction 10/12
  102. Continued Fraction 10/13
  103. Continued Fraction 10/14
  104. Continued Fraction 10/15
  105. Continued Fraction 10/16
  106. Continued Fraction 11/12
  107. Continued Fraction 11/13
  108. Continued Fraction 11/14
  109. Continued Fraction 11/15
  110. Continued Fraction 11/16
  111. Continued Fraction 12/13
  112. Continued Fraction 12/14
  113. Continued Fraction 12/15
  114. Continued Fraction 12/16
  115. Continued Fraction 13/14
  116. Continued Fraction 13/15
  117. Continued Fraction 13/16
  118. Continued Fraction 14/15
  119. Continued Fraction 14/16
  120. Continued Fraction 15/16

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