• # question_answer Verify $x+y=y+x,$ if $x=\frac{-3}{16}$ and $y=\frac{1}{9}.$

 $x+y=-\frac{3}{16}+\frac{1}{9}$ $=\frac{-3\times 9+1\times 16}{144}$ [$\because$LCM of 16 and 9 is 144] $=\frac{-27+16}{144}=\frac{-11}{144}$ $y+x=\frac{1}{9}+\frac{-3}{16}$ $=\frac{1}{9}-\frac{3}{16}$ $=\frac{16\times 1-9\times 3}{144}$ $=\frac{16-27}{144}=-\frac{11}{144}$ $\Rightarrow$   $x+y=y+x.$