Final answer:
To find the fraction of the estate that goes to the American Cancer Society, multiply the fractions together: (6)/(7) x (1)/(4) = (6)/(28).
Step-by-step explanation:
In this problem, we are given that (6)/(7) of an estate is to be divided among relatives and (1)/(4) of the remaining estate goes to the American Cancer Society. To find the fraction of the estate that goes to the American Cancer Society, we need to multiply the fractions together.
The fraction of the estate going to relatives is (6)/(7). The fraction of the remaining estate going to the American Cancer Society is (1)/(4). Multiplying these fractions gives us (6)/(7) x (1)/(4) = (6)/(28). So, (6)/(28) of the estate goes to the American Cancer Society.