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Addition of Fractions

Question

Solve
${(\frac{1}{2})}^{3} + {(\frac{1}{3})}^{3} - {(\frac{5}{6})}^{3}$

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Solution

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$(\frac{1}{2})^{3} + (\frac{1}{3})^{3} - (\frac{5}{6})^{3} = \frac{3^{3} + 2^{3} - 5^{3}}{6^{3}} = \frac{27 + 8 - 125}{216} = - \frac{90}{216} = - \frac{5}{12}$

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