When comparing Feedly vs Hangouts, the Slant community recommends Feedly for most people. In the question“What are the best Android apps?” Feedly is ranked 15th while Hangouts is ranked 42nd. The most important reason people chose Feedly is:
Feedly has an easy to overview interface. While this interface is clean and simple, it is still full of bright colors. A great feature that adds to the clean feel is "eliminate clutter", which keeps only the text of the desired topic.
Specs
Ranked in these QuestionsQuestion Ranking
Pros
Pro Clean, easy to overview UI
Feedly has an easy to overview interface. While this interface is clean and simple, it is still full of bright colors.
A great feature that adds to the clean feel is "eliminate clutter", which keeps only the text of the desired topic.
Pro Integrates other services for ease of use and sharing
Feedly sign-in is done with Facebook, Twitter, Google, or Microsoft credentials. It offers many ways to share a story from within the application, including social networks, e-mail, etc.
Pro Choice of many different layouts
For each news source, a different layout can be chosen. Choose between showing thumbnails, titles and summaries, titles only, thumbnails with overlaid titles in a grid, or have all content inlined.
Pro Great article recommendations
Search a topic and Feedly will offer resources that are related to that topic.

Pro Supports OPML export/import
With this feature, all subscriptions can be saved.
Pro Seamless Google Reader migration
Feedly have made it especially easy to navigate away from Google Reader.
Pro Similar mobile experience to Google Reader
It supports a list UI similar to Google Reader, among other more graphical layouts.
Pro Browser extensions
Feedly's extension lets users add feeds directly from websites, but also lets users curate pages, save them to Evernote or Facebook, email, or Tweet pages.
Pro Open API
There are multitudes of third party clients available for many platforms.
Pro Boards for organising the content (Paid)
Feedly allows you to create unlimited Boards (folders/sets/collections) and use them to organise your saved content.
Pro IFTTT and Zapier integration (Paid)
Feedly functionality can be extended and workflows automated with IFTTT and Zapier integrations that make it possible to connect the reader with hundreds of popular apps.
Pro Save and sync your chats across multiple devices
Start chatting on your phone, then on your computer, then on your tablet seamlessly!
Pro No need to create a separate account if you use any other Google service
Hangouts uses Google account credentials. If you use any other Google service, then you already have an account set up.

Pro Group video support
If you have signed in your Google account, Hangouts allows making video calls with up to 10 people or one-on-one. There are business, education and government solutions that increase the participant count to for video calls to 15 as well as offers support for those accounts.
Additionally, you can switch between using either the front-facing or rear-facing camera on your phone or tablet.

Pro Free and cross-platform
Google offers all features of Hangouts completely free on iOS, Android and web with quick and reliable sync across all platforms. It's also tightly integrated in other Google services - it can be accessed from services such as Gmail, Google+, Chrome.
While the standard Hangouts offering is completely free, there are business, education and government solutions that increase the participant count to for video calls to 15 and offers support that may cost money.
Pro Chrome browser extension
Use the extension on any computer you can run Chrome browser to text from your computer or tablet!

Pro Excellent read receipts in group chat
It's possible to know what each and every participant of the group has read. Their icons are displayed below the last message.

Pro Can share animated GIFs
If you have gifs in your mobile phone, you can share them in the conversation and your partner will be able to see it animated in the chat.
Pro Google Voice integration
Google Voice is a service that enables making and receiving free phone calls within US. Google Voice forwards incoming calls to all connected devices and allows placing calls from any of the connected devices, but they will show as coming from the Google Voice number.
Hangouts completely integrates Google Voice, allowing you to place calls and receive texts and voicemail from all of your devices. The Hangouts app for Android also includes a needed dialer for making calls with the users Google Voice number.
Pro Free calls to US and Canada from anywhere in the world
Hangouts app for Android can be extended with an optional dialer for making calls. Most calls to US and Canada are free and international calls have cheap rates.
A Google Voice account will be needed in order have a number that allows these calls to be made.
Pro Advanced status sharing
Hangouts can inform about the status of other users including what device they are currently using, whether they are in the middle of a call and when were they last seen. This allows making sure that you're not disturbing someone when initiating a conversation. It's possible to granularly turn off status sharing.
Pro Video tools
Hangouts can add different effects and overlays to video calls that can be viewed on your device. Unfortunately, they can't be set from your phone.
Pro Seamless integration with OK Google for voice control and typing
Hangouts can be used completely hands free, even if the app is not open and the phone is locked: "OK Google, send a Hangouts message to Mary".
Cons

Con Long list of paid-only features
Free features are pretty basic. It seems like all the new development goes into paid-only features. Paid features include sharing and saving options, alerts, backup, support or integrations with collaborative tools.

Con No push notifications
Among the most requested features for Feedly is push notification support. The feature was officially requested in 2011 and currently has over 600 votes on Feedly's Uservoice.
Con Log-in is buggy
Logging in can sometimes cause Feedly to struggle. It can become unresponsive and force close.
Con The layout isn't like Google's original or Inoreader's of which is much easier to browse and read quickly
Con Inline adds
Free version puts adds in your feeds
Con No keyword filtering
Feedly has no ability to filter a feed by keyword like a lot of other RSS readers do.

Con No offline support
There is no offline support with the official client.
Con Forces external account to log in
Users are forced to use Twitter, Facebook, Google, or Microsoft login credentials.
Con Steals page views
Feedly has had issues multiple times with hijacking page views from original publishers. See:
Con Organization/sorting features lacking
There is no ability to sort feeds within a folder, and moving feeds between folders is difficult with lots of content.
Con Slow interface
Con Transitioning to corporate orientation
Google is turning Hangouts in to a Slack competitor. It's unclear what the future of Hangouts is, but Google has said the consumer Hangouts we now have 'isn't going anywhere.'
Con Lack of end to end encryption
Communications are encrypted between client and Google servers but not from sending client to receiving client. This means that there is still a possibility for someone other than the receiver to read your message if they have access to internal Google servers. But it allows also lightweight chat history search, spam protection and other features.
Con Is owned by Google
Google is a cooperation that earns money from collecting data and breaching privacy.
Con Poor interface
The app tends to lag, the design can be confusing and considering that another app has to be installed that supplies another icon in the home screen in order to get a dialer for calls in Hangouts, overall it is very confusing and cluttered.
Con No rich text editing
On Android you can receive messages with bold or italic text. However, you cannot bold or italicize text on Android, only on iOS devices or via the web interface.
Con No way to moderate groups
If a member of a group chat room becomes disruptive, or there's some other need, there's no way in Hangouts to remove somebody from an existing chatroom. Similarly, if somebody is no longer active, there's no way to remove that user from the chat room to make slot for new active members.
Con Buggy video calls
Whether video calls work on your device is pure lottery, and there's nothing you can do to fix it.
Con Poor indication of who's online
There is no way to find out if a person in your contact's list is online or not in the Android app.

Con Poorly manages data
Doesn't cache images well either received or sent. Often users will see the sent images re-downloading, same for conversations.
Con API support was removed
This change closed options for integrations and connections between similar apps.

Con Not available on Windows Phones
There is no Hangouts app for the Windows Phone.
Con Doesn't support sending voice notes or video recordings
Currently there is no built in function that supports creating and sending voice notes or video recordings.
Con No customer support
Free product, you're on your own.
Con Won't send SMS/MMS anymore
They removed support for sms/mms. The same goes with integration to hangouts.
Con No SMS/MMS backup
They don't have options to backup sms to cloud.
Con SMS messages sent from the web app can't be sent outside North America
SMS messages sent from the web app can only be sent to number in America and Canada - sending to foreign numbers won't work, although you can still receive texts from anywhere.
