0.5=5/10=1/2
0.05=5/100=1/20
0.005=5/1000=1/200
etc.
Put the decimal over the power of ten that corresponds to the place of the last digit.
0.0005= 5 in the ten thousandths=5/10,000=1/2,000
It won't always be so cut and dry, like=
0.31=31/100=can't be simplified further
Or repeating decimals you probably won't get lke:
0.33 = 1/3
For those, you just have to remember the repeating decimal values of certain fractions, or you can just do the math.
If it terminates, put it over 10x+1, x=# of decimal places
If it repeats: (repeating digits)/9(\(\sum{10^{-y}}_{y=1}^{x}\)), x= # of repeating digits
If it does neither, raise it to a power and then try
If it's a whole number, put it over 1
If it's \(\pi\) or \(e\) put it over 1