Question
Simplify: $\frac{3 \mathrm{a}}{8}+\frac{4 \mathrm{a}}{5}-\left(\frac{\mathrm{a}}{2}+\frac{2 \mathrm{a}}{5}\right)$

Answer


$\begin{aligned} & \frac{3 a}{8}+\frac{4 a}{5}-\left(\frac{a}{2}+\frac{2 a}{5}\right) \\ & =\frac{15 a+32 a-(20 a+16 a)}{40} \ldots(\text { LCM of } 8,5,2=40) \\ & =\frac{47 a-36 a}{40}=\frac{11 a}{40}\end{aligned}$

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