Question
Simplify: $\frac{1}{4}\left(\frac{1}{4}+\frac{1}{3}\right)-\frac{2}{5}$

Answer


$\begin{aligned} & \frac{1}{4}\left(\frac{1}{4}+\frac{1}{3}\right)-\frac{2}{5} \\ & =\frac{1}{4}\left(\frac{3+4}{12}\right)-\frac{2}{5} \\ & =\frac{1}{4} \times \frac{7}{12}-\frac{2}{5} \\ & =\frac{7}{48}-\frac{2}{5} \\ & =\frac{35-96}{240}=\frac{-61}{240}\end{aligned}$

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