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Chapter 5: Problem 139

A will states that \(\frac{3}{5}\) of the estate is to be divided among relatives. Of the remaining estate, \(\frac{1}{4}\) goes to charity. What fraction of the estate goes to charity?

Short Answer

Expert verified
\(\frac{1}{10}\) of the estate goes to charity.

Step by step solution

01

Determine remaining estate

The relatives get \(\frac{3}{5}\) of the estate. In order to find out what's left for charity and other expenses, you subtract the portion that the relatives got from 1 (because the whole estate is represented by 1). So, \(1 - \frac{3}{5} = \frac{2}{5}\). This means \(\frac{2}{5}\) of the estate is left after the relatives have received their share.
02

Determine the charity portion

Next, we need to calculate 1/4 of the remaining estate. This can be solved by multiplying \(\frac{2}{5}\) by \(\frac{1}{4}\), which gives \(\frac{2}{20} = \frac{1}{10}\). So, \(\frac{1}{10}\) of the estate goes to charity.

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