The quickest option is a private car or taxi via the A1 highway, usually 1.5 to 2 hours. Typical fares from Baghdad are about 75,000 to 100,000 IQD, and it is best to travel in daylight.
Minibuses leave from Baghdad's Al-Alawi garage in the morning, roughly hourly, and take about 2 to 2.5 hours, usually around 15,000 to 20,000 IQD. Agree the fare in advance and keep small cash. For more info: Ramadi