Since facebook has updated their edge rank, some things aren’t like they used to be. One of the ways to still reach your fans, is to encourage them to add your page to their favourites.
By doing that, the chances of your posts showing up in their news feed rise and also they of course can opt out of this, simply by removing the page from their favourites.
All you can do, without paying for promoted posts, is to kindly ask your fans. If you’re sharing good content, it shouldn’t be a problem to make your fans do this, because it is in their interest that they keep up with the entries or links you publish.