Question
Simplify $\frac{4}{5}+\frac{9}{2}+\left(\frac{-4}{5}\right)$.
✓
Answer
$\frac{4}{5}+\frac{9}{2}+\left(\frac{-4}{5}\right)=\frac{4}{5}+\left(\frac{-4}{5}\right)+\frac{9}{2}\quad$ [by commutative property of addition]
$=0+\frac{9}{2}$
$[\because x+(-x)=0$, for all $x$ being a rational number$]$
$=\frac{9}{2}\quad$ [by additive identity]
$=0+\frac{9}{2}$
$[\because x+(-x)=0$, for all $x$ being a rational number$]$
$=\frac{9}{2}\quad$ [by additive identity]
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