Answer
-12
Work Step by Step
$2+\frac{1}{3}t=1+\frac{1}{4}t$
Rewrite the fractions to have common denominators.
$2+\frac{4}{12}t=1+\frac{3}{12}t$
Subtract each side by $\frac{3}{12}t$
$2+ \frac{1}{12}t =1$
Subtract 2 from each side to get the variable by itself.
$\frac{1}{12}t =-1$
Multiply each side by the reciprical (12)
$t=-12$