Yes, your mobo can be configured to power AND control your fans. It has four SYS_FANn headers for case ventilation fans, each with 4 pins. You CAN plug either 3-pin or 4-pin fans into them. So if you have four case fans or less, you can plug each of them into its own header and need no other accessories. You do not need those adapters for Molex connections.
After you plug those fans in and get your system able to start up, you need to make one configuration change in BIOS Set for EACH of the four SYS_FAN headers. See your manual, p. 36, for how to start. VERY shortly after you turn on there will be a message (usually at screen bottom) to press "Del" to enter BIOS Setup. I advise don't not just press and release - the system may not happen to see it when you press. Hold the "Del" key down until the opening screen of BIOS Setup shows, probably in EZ Mode (p. 38). At the bottom left, click on "Hardware Monitor". See p. 60.
For EACH of the four SYS_FAN units, click on its selector at top and then choose "DC" mode on the left. After setting all this way, exit from here and be sure to SAVE and EXIT. This will save your settings and reboot the machine. Setting things this way will make all of the SYS_FAN headers use DC Mode and control the speeds of your case 3-pin fans.