Comment the basic math requisites for interpreting math formulae in this way
Waves
$$f = {1 \over T}$$
We are dividing 1 into T equal parts and one part corresponds to the frequency
Magnification ( Ray Optics)
$$m = {h' \over h}$$
h' corresponds to the size of image and h to the size of object. and We are dividing h'into h equal parts and each partition will gives us the what multiple is h'comparing h.
There isn't one and only one way to understand any statement in mathematics. For instance, I could instead interpret $1/T$ as the number which when multiplied by $T$ gives the number $1$. In some contexts, this perspective is much more enlightening that the notion of dividing a quantity into groups of a fixed size.
As you study more mathematics, you will be exposed more and more ways of thinking about different equations and identities. Over time, you develop an intuition for what perspective seems more helpful for understanding certain situations, but more often than not, there will be more than one valid way to reckon any given statement.