You can reduce the opacity of the fadeTo element, for example
$('#a_div').fadeTo('slow',.3);
The first argument is speed. You can put it in milliseconds, or the lines are "slow" or "fast", which are respectively 600 and 200 ms. Any other line is interpreted as 400 ms.
The second argument is the final opacity. 0 completely transparent (invisible), 1 completely opaque.
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