Answer
The American Cancer Society will receive $\frac{1}{32}$ of the estate.
Work Step by Step
This problem can be restated to say the American Cancer Society will receive $\frac{1}{4}$ of $\frac{1}{8}$ of the estate. Multiply to determine the fraction the American Cancer Society will receive.
$\frac{1}{4} \times \frac{1}{8} = \frac{1}{32}$