First you see how many zeroes there are. 2 right, now, which number has two zeroes? 100 has 2 zeroes so that definitely fits. So, you put 2 as the numerator and 100 as the denominator and that is how you convert it.
In order to answer your question AND dissapoint you... :P . . . . . . . . It is impossible to write 0.02 in tenths. . Let's review. . Let's say we have decimal 0.123. . In decimal format... . 1 is the tenths place. 2 is the hundredths place. 3 is the thousandths place. . And so on. . So... unfortunately, you cannot write 0.02 in tenths.