Question

A will states that 8/9 of an estate is to be divided among relatives. Of the remaining estate, 1/5 goes to the american cancer society. What fraction of the estate goes to the american cancer society?

Answer 1

The American Cancer Society receives 1/45 of the entire estate. This is calculated by taking the remaining 1/9 of the estate after relatives' distribution and giving 1/5 of that to the society.

Step-by-step explanation:

The question asks us to determine what fraction of an estate goes to the American Cancer Society, based on the terms of a will. Initially, 8/9 of the estate is distributed among relatives. From the remaining fraction, which is 1/9 of the estate, 1/5 goes to the American Cancer Society. To find the fraction of the entire estate that goes to the American Cancer Society, we multiply the two fractions:

• (1/9) estate remaining after relatives take their share
• (1/5) of the remaining estate goes to the American Cancer Society

Calculation: (1/9) × (1/5) = (1×5)/(9×5) = 1/45. So, 1/45 of the entire estate goes to the American Cancer Society.

Answer 2

8/9 - 1/5
= 5(8/9)-9(1/5)
=(40/45)-(9/45)
=31/45


therefore 31/45 of the estate would go to the American cancer society