Question
Solve: $\frac{1}{2} \mathrm{~m}+\frac{3}{4} \mathrm{~m}-\mathrm{m}=2.5$

Answer


$\begin{aligned} & \frac{1}{2} \mathrm{~m}+\frac{3}{4} \mathrm{~m}-\mathrm{m}=2.5 \\ & \frac{1}{2} \mathrm{~m}+\frac{3}{4} \mathrm{~m}-\frac{\mathrm{m}}{1}=2.5 \\ & \Rightarrow \frac{2 \mathrm{~m}+3 \mathrm{~m}-4 \mathrm{~m}}{4}=2.5 \\ & \Rightarrow \frac{2 \mathrm{~m}+3 \mathrm{~m}-4 \mathrm{~m}}{4}=4 \times 2.5 \\ & \Rightarrow 2 \mathrm{~m}+3 \mathrm{~m}-4 \mathrm{~m}=10 \\ & \Rightarrow 5 \mathrm{~m}-4 \mathrm{~m}=10 \\ & \Rightarrow \mathrm{m}=10\end{aligned}$

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