$${\textbf{Step -1: Find out the values of all numbers given}}{\textbf{.}}$$
$$\text a) \dfrac{{26}}{{2185}} = 0.01189$$$$93135$$
$$\text b)\dfrac{{15632}}{{625}} = 25.0112$$
$$\text c)\dfrac{{368}}{{512}} = 0.71875$$
$$\text d)\dfrac{{15632}}{{625}} = 25.0112$$
$${\textbf{Step -2: State whether they are terminating or non - terminating}}{\textbf{.}}$$
$$\text a) \dfrac{{26}}{{2185}} = {\text{ Non - terminating because the number to be divided has no end result}}{\text{.}}$$
$$\text b) \dfrac{{15632}}{{625}} = {\text{ Terminating because the number being divided has an end value}}{\text{.}}$$
$$\text c) \dfrac{{368}}{{512}} = {\text{Terminating because the number being divided has an end value}}{\text{.}}$$
$$\text d) \dfrac{{15632}}{{625}} = {\text{ Terminating because the number being divided has an end value}}{\text{.}}$$
$${\textbf{Hence, the sequence for nature of numbers are}}$$
$${\textbf{a) Non - terminating , b) Terminating, c) Terminating, d) Terminating}}{\textbf{.}}$$