To share your blog posts to your LinkedIn Profile, the easiest option is to use your blog's feed with a service, like IFTTT.com, to automatically share blog updates to LinkedIn.
If you don't already have an IFTTT.com account, you can sign up for free here:
Then, click the "Create Recipe" button, choose RSS, and follow the prompts. You'll be asked to enter your blog's feed URL which is your blog's URL followed by atom.xml. Similar to:
You'll be able to choose whether to include all posts published to your blog or only posts which match a specific keyword or phrase of your choosing.
As you continue to the next step and click "That" and choose the LinkedIn option. Now, you'll be prompted to authorize LinkedIn and select how you wish to share the posts. You can either share as an update or a link. Complete the Action fields and click "Create Action" to complete the set up.
Once you have set up your IFTTT.com recipe, future updates to your blog will automatically be shared to your LinkedIn Profile.