# To Be Continued

<figure><img src="https://115637145-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FfFuTZVVkTrnykW4pXSfL%2Fuploads%2FhOnJW5Q6maV6FFYh1Atq%2Fimage.png?alt=media&#x26;token=0b1a4c6e-d49f-42ff-b7dd-e070718aac95" alt=""><figcaption></figcaption></figure>

<figure><img src="https://115637145-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FfFuTZVVkTrnykW4pXSfL%2Fuploads%2Fk2pdUwSLpn82OjNBWpxI%2Fimage.png?alt=media&#x26;token=6deb7627-9090-4172-ab22-bbb9bb7b5972" alt=""><figcaption><p>Doc's Letter</p></figcaption></figure>

Doc has left a note with a fairly large number equation on it:

649,471,573\
&#x20;52,763,722

As hinted by "To be continued..", this was actually a continued fraction and could be broken down multiple times to smaller fractions, each resulting in a number between 1-26.  This could be quickly solved by a powerful calculator such as Wolfram Alpha (<https://www.wolframalpha.com/input?i=649471573%2F52763722>) which identified the continued fraction characteristic.

<figure><img src="https://115637145-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FfFuTZVVkTrnykW4pXSfL%2Fuploads%2FjN3vgYk8UbZlKmbSu4wR%2Fimage.png?alt=media&#x26;token=6731a32e-b167-4201-b4b0-cb4a2d0f4c1d" alt=""><figcaption><p>Continued Fraction</p></figcaption></figure>

<figure><img src="https://115637145-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FfFuTZVVkTrnykW4pXSfL%2Fuploads%2F6E9ppYqhDnScmpd38yyM%2Fimage.png?alt=media&#x26;token=aa5a4741-a10d-4459-b97e-90f0f2c3337e" alt=""><figcaption><p>Fraction Form</p></figcaption></figure>

The numbers of the continued fraction were

**12 3 4 4 9 19 16 12 1 25**

which converted to letters spells **LCD DISPLAY**
