When you like someone’s photo on Instagram, this “like activity” will automatically show on your Facebook friend’s newsfeed (if your Instagram account is linked to your Facebook account). Here’s an example:

Yet another Facebook privacy issue, right? What if you liked something that looks inappropriate to your friends/family? Or something that seems disappointing? That won’t feel good! So, to get rid of this feature, read the following instructions:

PS: This has been tested on the latest Instagram App for Android.

Hiding Your Instagram Likes on Facebook with Android

View your Instagram profile.
Click the settings button located at the top right side of your screen (beside the search button).
Scroll down a little and tap the “Share Settings” option.
Tap Facebook option.
Then tap to uncheck the “Likes” option.
You’re all set!