Answer
$c=1$
Work Step by Step
We start with the given equation: $3(c+\frac{1}{3})=4$
We use the distributive property to expand the left side of the equation: $3c+1=4$
We subtract $1$ from each side of the equation: $3c=3$
We divide by $3$ on each side of the equation: $c=\frac{3}{3}=1$