# 1/2x-y , x+3/4y-z , x/2+y/2+z/2 ... Add them

Please find below the solution to the asked query:

$\left(\frac{x}{2}-y\right)+\left(x+\frac{3y}{4}-z\right)+\left(\frac{x}{2}+\frac{y}{2}+\frac{z}{2}\right)\phantom{\rule{0ex}{0ex}}=\left(\frac{x}{2}+x+\frac{x}{2}\right)+\left(-y+\frac{3y}{4}+\frac{y}{2}\right)+\left(-z+\frac{z}{2}\right)\phantom{\rule{0ex}{0ex}}=\frac{x+2x+x}{2}+\frac{-4y+3y+2y}{4}+\frac{-2z+z}{2}\phantom{\rule{0ex}{0ex}}=2x+\frac{y}{4}-\frac{z}{2}$

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