Acts 13:3 New English Translation

³Then, after they had fasted^[a] and^[b] prayed and placed their hands^[c] on them, they sent them off.

Acts 13:3 tn The three aorist participles νηστεύσαντες (nēsteusantes), προσευξάμενοι (proseuxamenoi), and ἐπιθέντες (epithentes) are translated as temporal participles. Although they could indicate contemporaneous time when used with an aorist main verb, logically here they are antecedent. On fasting and prayer, see Matt 6:5, 16; Luke 2:37; 5:33; Acts 14:23.
Acts 13:3 tn Normally English style, which uses a coordinating conjunction between only the last two elements of a series of three or more, would call for omission of “and” here. However, since the terms “fasting and prayer” are something of a unit, often linked together, the conjunction has been retained here.
Acts 13:3 sn The placing of hands on Barnabas and Saul (traditionally known as “the laying on of hands”) refers to an act picturing the commission of God and the church for the task at hand.

New English Translation (NET)