Can I Pray the Rosary During Mass?

A listener named Amy asks Father Dave about praying the Rosary. She explains that she started praying a Rosary at Church before Mass began, but did not have time to finish. "[Later] I went to Communion, and I said my prayer back at the pew, then I decided to finish the two decades of the Rosary and the closing prayers while everyone was finishing going to Communion," she says. "I started to wonder if this is what I should be doing, or am I not participating and being present for the other people still receiving Communion and for the Eucharist that was still present on the altar?"