How to connect to HP ENVY
How do I set up my MACBOOK AIR to connect to my HP ENVY 7645
MacBook Air 13″, OS X 10.11
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The HP Envy 7640 e-All-in-One Printer series is mentioned in About AirPrint - Apple Support. This should mean that your 7645 is a model supporting the driverless AirPrint technology. In this case you could connect the printer and the computer to the same Wi-Fi network and print without having to install drivers.
Add a printer on Mac - Apple Support
https://support.hp.com/us-en/document/ish_1994828-1994872-16
Reset the Mac printing system to solve a problem - Apple Support