Continued Fraction for 12/16

Enter fraction

Express 12/16 as a continued fraction

In decimal terms, = 0.75

Start	Integer	Decimal Portion Start - Integer	Reciprocal: 1 ÷ Decimal
0.75	0	0.75	1.3333
1.3333	1	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003
3.003	3	0.003	333.3333
333.3333	333	0.333	3.003

Stop when the difference portion = 0

Use the Integer Column

What is the Answer?

[0; 1, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333, 3, 333]

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

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