why blockchain ask min 0.5 to 1.08 to every transfer money 
?
past was asking for .15 or .37
Inadequate details.? past was asking for .15 or .37
Are you talking about blockchain.info wallet service or the network in general ? 0.5 as in bitcoins or satoshis or mbits ?Whatever the case,the fees don't exceed 0.001 even for the priority transactions.
yes blockchain.info
Its because a lot people do transaction with small fees which mean if you do with small fees too. You will get pending and unconfirmed for long time. So, blockchain always make sure you on the regular fees that can confirming faster than another. If you want to do transaction and fees is changing, its mean a lot people do transaction with small fees. You can check in here https://bitcoinfees.21.co . Of course you can customize your fees but if you set it low, it will get long time to confirmed