Solve. Clear fractions or decimals first. \[ \frac{2}{5}+\frac{1}{3} t=\frac{1}{5} \]

To solve the equation, let's clear the fractions by finding a common denominator. The least common multiple of the denominators 5 and 3 is 15. We can multiply every term in the equation by 15 to eliminate the fractions: \[ 15 \left( \frac{2}{5} \right) + 15 \left( \frac{1}{3} t \right) = 15 \left( \frac{1}{5} \right) \] This simplifies to: \[ 6 + 5t = 3 \] Next, we can isolate \( t \) by subtracting 6 from both sides: \[ 5t = 3 - 6 \] \[ 5t = -3 \] Now, divide by 5 to solve for \( t \): \[ t = -\frac{3}{5} \] Thus, the solution to the equation is: \[ t = -\frac{3}{5} \]