Sometimes you have friends or family members you follow on Instagram that you don’t particularly care for but you can't necessarily unfollow. Instagram is going to help you save face with the new feature its introducing. The social network now has a mute option. As the name suggests, it won't show you posts or stories (or both) of people you mute. It's similar to the mute feature on Instagram and the unfollow on Facebook. You can turn mute on or off through the three-dot menu at the top right of the user's profile. You can opt out of seeing posts or stories or both. Instagram is currently rolling this out so you may or may not have this option already.

Source: Android Police