[tex] \bf 1+\cfrac{1}{t}\div 1-\cfrac{1}{t}\implies \cfrac{1}{1}+\cfrac{1}{t}\div \cfrac{1}{1}-\cfrac{1}{t} \implies \stackrel{\textit{LCD of \underline{t} on both}}{\cfrac{t+1}{t}\div \cfrac{t-1}{t}}\\\\\\\cfrac{t+1}{t}\cdot \cfrac{t}{t-1}\implies \cfrac{t+1}{t-1} [/tex]
