Calculate out the value of fractional part function.

Question

Q. If \(\psi = \sum_{\beta=1}^{4}(\sum_{\gamma=2}^{5} 2\beta\gamma)\) and \(\alpha = \sum_{\phi=1}^{5}(\int_{0}^{\psi}d\delta)\), then compute the value of {\(\frac{\alpha }{400}\)}. {.} denotes the Fractional Part Function (FPF).