Continued Fraction for 7/16



Express 7/16 as a continued fraction

In decimal terms, = 0.4375
Start NumberInteger NumberDecimal Portion = Start - IntegerReciprocal =1 ÷ Decimal Portion
0.437500.4382.2831
2.283120.2833.5336
3.533630.5341.8727
1.872710.8731.1455
1.145510.1466.8493
6.849360.8491.1779
1.177910.1785.618
5.61850.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181
1.618110.6181.6181

We stop when the difference portion = 0, and use the Integer Column for our representation:
Our continued fraction representation is: [0; 2, 3, 1, 1, 6, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]