Final answer:
The simplest form of the rational number (413-1-221772) calculated as -221,360 does not match with any of the provided options, indicating a possible typo or error within the question itself.
Step-by-step explanation:
The question asks for the simplest form of the rational number resulting from the expression (413-1-221772). The expression should be calculated as follows: 413 - 1 - 221,772 = 412 - 221,772 = -221,360. The next step is to identify which of the provided answer choices is equivalent to the calculated value when simplified. However, the given options a) (205/10886), b) (205/10870), c) (206/10870), d) (206/10886) do not correspond to the calculated value of -221,360, which suggests there may be a typo or error.
Incorrectly provided options on the question make it impossible to select the correct answer as none of the options match the computed value of the expression. The question needs to be reviewed for accuracy, or more information should be provided to determine the correct simplest form.