A.T. Robertson Commentary Acts 13:3

"Then, when they had fasted and prayed and laid their hands on them, they sent them away." — Acts 13:3 (ASV)

When they had fasted (νηστευσαντες). Either finishing the same fast in verse 2 or another one (Hackett), but clearly a voluntary fast.

Laid their hands upon them (επιθεντες τας χειρας αυτοις). Second aorist active participle of επιτιθημ. Not ordination to the ministry, but a solemn consecration to the great missionary task to which the Holy Spirit had called them. Whether the whole church took part in this ceremony is not clear, though in 15:40 "the brethren" did commend Paul and Silas. Perhaps some of them here acted for the whole church, all of whom approved the enterprise. But Paul makes it plain in Php 4:15 that the church in Antioch did not make financial contribution to the campaign, but only goodwill. But that was more than the church at Jerusalem would have done as a whole since Peter had been arraigned there for his activities in Caesarea (Acts 11:1–18). Clearly Barnabas and Saul had to finance the tour themselves. It was Philippi that first gave money to Paul's campaigns. There were still heathen enough in Antioch, but the church approved the going of Barnabas and Saul, their very best.