Continued Fraction for 3/16

Express 3/16 as a continued fraction

In decimal terms, = 0.1875

Continued Fraction Table

Start	Integer	Decimal Portion Start - Integer	Reciprocal: 1 ÷ Decimal
0.1875	0	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882
2.1882	2	0.188	5.3191
5.3191	5	0.319	3.1348
3.1348	3	0.135	7.4074
7.4074	7	0.407	2.457
2.457	2	0.457	2.1882

Stop when the difference portion = 0

Use the Integer Column

[0; 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, 5, 3, 7, 2, 2, 5, 3, 7, 2]

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