Continued Fraction for 8/15

Enter fraction

Express 8/15 as a continued fraction

In decimal terms, = 0.53333333333333

Continued Fraction Table

Start	Integer	Decimal Portion Start - Integer	Reciprocal: 1 ÷ Decimal
0.53333333333333	0	0.533	1.8762
1.8762	1	0.876	1.1416
1.1416	1	0.142	7.0423
7.0423	7	0.042	23.8095
23.8095	23	0.81	1.2346
1.2346	1	0.235	4.2553
4.2553	4	0.255	3.9216
3.9216	3	0.922	1.0846
1.0846	1	0.085	11.7647
11.7647	11	0.765	1.3072
1.3072	1	0.307	3.2573
3.2573	3	0.257	3.8911
3.8911	3	0.891	1.1223
1.1223	1	0.122	8.1967
8.1967	8	0.197	5.0761
5.0761	5	0.076	13.1579
13.1579	13	0.158	6.3291
6.3291	6	0.329	3.0395
3.0395	3	0.039	25.641
25.641	25	0.641	1.5601
1.5601	1	0.56	1.7857
1.7857	1	0.786	1.2723
1.2723	1	0.272	3.6765
3.6765	3	0.677	1.4771
1.4771	1	0.477	2.0964
2.0964	2	0.096	10.4167
10.4167	10	0.417	2.3981
2.3981	2	0.398	2.5126
2.5126	2	0.513	1.9493
1.9493	1	0.949	1.0537
1.0537	1	0.054	18.5185
18.5185	18	0.519	1.9268
1.9268	1	0.927	1.0787
1.0787	1	0.079	12.6582
12.6582	12	0.658	1.5198
1.5198	1	0.52	1.9231
1.9231	1	0.923	1.0834
1.0834	1	0.083	12.0482
12.0482	12	0.048	20.8333
20.8333	20	0.833	1.2005
1.2005	1	0.201	4.9751
4.9751	4	0.975	1.0256
1.0256	1	0.026	38.4615
38.4615	38	0.462	2.1645
2.1645	2	0.165	6.0606
6.0606	6	0.061	16.3934
16.3934	16	0.393	2.5445
2.5445	2	0.545	1.8349
1.8349	1	0.835	1.1976
1.1976	1	0.198	5.0505
5.0505	5	0.051	19.6078
19.6078	19	0.608	1.6447
1.6447	1	0.645	1.5504
1.5504	1	0.55	1.8182
1.8182	1	0.818	1.2225
1.2225	1	0.223	4.4843
4.4843	4	0.484	2.0661
2.0661	2	0.066	15.1515
15.1515	15	0.152	6.5789
6.5789	6	0.579	1.7271
1.7271	1	0.727	1.3755
1.3755	1	0.376	2.6596
2.6596	2	0.66	1.5152
1.5152	1	0.515	1.9417
1.9417	1	0.942	1.0616
1.0616	1	0.062	16.129
16.129	16	0.129	7.7519
7.7519	7	0.752	1.3298
1.3298	1	0.33	3.0303
3.0303	3	0.03	33.3333
33.3333	33	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

Stop when the difference portion = 0

Use the Integer Column

[0; 1, 1, 7, 23, 1, 4, 3, 1, 11, 1, 3, 3, 1, 8, 5, 13, 6, 3, 25, 1, 1, 1, 3, 1, 2, 10, 2, 2, 1, 1, 18, 1, 1, 12, 1, 1, 1, 12, 20, 1, 4, 1, 38, 2, 6, 16, 2, 1, 1, 5, 19, 1, 1, 1, 1, 4, 2, 15, 6, 1, 1, 2, 1, 1, 1, 16, 7, 1, 3, 33, 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]

You have 2 free calculationss remaining

What is the Answer?

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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