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Continued Fraction for 2/9


  
Express 2/9 as a continued fraction

In decimal terms, = 0.22222222222222
Start NumberInteger NumberDecimal Portion = Start - IntegerReciprocal =1 ÷ Decimal Portion
0.2222222222222200.2224.5045
4.504540.5051.9802
1.980210.981.0204
1.020410.0250
50500

We stop when the difference portion = 0, and use the Integer Column for our representation:
Our continued fraction representation is: [0; 4, 1, 1, 50]




What is the Answer?

Our continued fraction representation is: [0; 4, 1, 1, 50]

How does the Continued Fraction Calculator work?

Shows the continued fraction for a fraction
This calculator has 1 input.

What 2 formulas are used for the Continued Fraction Calculator?

  1. Decimal Portion = Start - Integer
  2. 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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