Thanks Jamie for creating such a great piece of coding!
After trying perhaps all the other available option, Fluid Video Embed was the only one that worked for me.
It's also easy to add a class and get some control over positioning.
<div class="video1" style="text-align: center;">
The trick is to paste the video url in Visual Mode, update your page or post. Then you can switch to Text/HTML view and the whole world of Responsive CSS Opens for you.
I am wondering if you could recommend the best solution to add a responsive frame!