Enter fraction

Express 2/10 as a continued fraction

In decimal terms, = 0.2

Start	Integer	Decimal Portion Start - Integer	Reciprocal: 1 ÷ Decimal
0.2	0	0.2	5
5	5	0

Stop when the difference portion = 0

Use the Integer Column

[0; 5]

Free Continued Fraction Calculator - Shows the continued fraction for a fraction
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Decimal Portion = Start - Integer
Reciprocal = 1 / Decimal Portion

For more math formulas, check out our Formula Dossier

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,...