Question
Simplify: $\frac{m}{5}-\frac{m-2}{3}+m$

Answer


$\begin{aligned} & \frac{\mathrm{m}}{5}-\frac{\mathrm{m}-2}{3}+\frac{\mathrm{m}}{1} \\ & =\frac{3 \mathrm{~m}-5(\mathrm{~m}-2)+15 \mathrm{~m}}{15} \\ & =\frac{3 \mathrm{~m}-5 \mathrm{~m}+10+15 \mathrm{~m}}{15} \\ & =\frac{18 \mathrm{~m}-5 \mathrm{~m}+10}{15} \\ & =\frac{13 \mathrm{~m}+10}{15}\end{aligned}$

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