Problem Solving

Hello everybody,

I have started my study program recently with this website. I saw a question which seems difficult at first. look at the question:

(1.3333)(0.666)(1.125)
__________________
(0.75)(0.8)(0.8333)

some decimals are simple and we can covert them to fractions quickly, but some of them like (1.3333) and (0.666) or (0.83333) seems complicated. The solution says we should convert it in this way:

(4/3)(2/3)(9/8)
_____________=2
(3/4)(4/5)(5/6)

now, my question is how we can calculate quickly that the fraction in form of (0.8333) is (5/6) or (1.3333) is (4/3) and etc?

Thanks