Can you solve this math problem for me

Sarah went on holiday to Antigua.
In the shops, prices are given in either US dollars ($) or in East Caribbean dollars (EC$).
The exchange rate was $1 = EC$2.70
The price of a hat was EC$65
Sarah knew that £1 = $1.45
Work out the price of the hat in pounds.

Please show me the working out and thanks in advance! :)

Start with the price of the hat at EC$65
Divide this by 2.70 to get the price in dollars = 24.07
Then divide this by the US rate to get pounds so... 24.07 / 1.45 = £16.60

Do this on a calculator.
First of all, you know £1 = $1.45
£1 = $1.45
Divide the $1.45 by 1.45 to get to $1, then do the same on the other side so £1 divided by 1.45.
1 divided by 1.45 is 0.69 rounded, this is why you do it on a calculator because I rounded it and it won't be as accurate.
So now you have £0.69 = $1 or £0.69 = EC$2.70.
Do the same. £2.70 divided by 2.70 and 0.69 divided by 2.70 to get EC$1.
About EC$1 = £0.26.
Now you will just have to times the EC$1 by EC$65 and on the other side too.
About EC$65 = EC$16.90
HOWEVER, THIS IS NOT ACCURATE BECAUSE I HAVE ROUNDED THE ANSWERS UP AND THE ANSWER IS WRONG, THE CORRECT ANSWER IS £16.60.