Joann eats \(\frac{\mathrm{1}}{\mathrm{4}}\) of a peach pie and divides the remainder of the pie among her four friends. What fraction of the pie does each of her friends receive?
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Detailed Explanation
After eating \(\frac{\mathrm{1}}{\mathrm{4}}\) of a pie, what remains is:
\(1-\frac{\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}}{\mathrm{4}}\)
If four friends share the remainder, then each receives:
\(\frac{\mathrm{3}}{\mathrm{4}}×\frac{\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}}{\mathrm{16}}\)
\(1-\frac{\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}}{\mathrm{4}}\)
If four friends share the remainder, then each receives:
\(\frac{\mathrm{3}}{\mathrm{4}}×\frac{\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}}{\mathrm{16}}\)
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