Solve and check. \[ \frac{2}{5} t-5=1 \] The solution is $\mathrm{t}=$ (Type an integer or a simplified fraction.)

Step 1 ：Given the equation \(\frac{2}{5} t - 5 = 1\)

Step 2 ：Add 5 to both sides of the equation to get \(\frac{2}{5} t = 6\)

Step 3 ：Multiply both sides of the equation by the reciprocal of \(\frac{2}{5}\), which is \(\frac{5}{2}\), to isolate t and get \(t = 15\)

Step 4 ：Final Answer: The solution to the equation is \(\boxed{15}\)