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If possible the entire rite should be carried out each time, although the Liturgy of the Word may be abbreviated so as not to sap the strength of the weak.When Communion is distributed to large numbers of infirm people living separately in hospitals, clinics, nursing homes, etc., the liturgy allows the minister to carry out an abbreviated rite reciting the antiphon "Oh Sacred Banquet" in the chapel or in the first room and distributing Communion in each room using just the formula "This is the Lamb of God..." and "Lord, I am not worthy." He recites the closing prayer in the last room or the chapel but omits the final blessing.
One could argue that holding hands expresses the family union of the Church.
But our singing or reciting the prayer in unison already expresses this element.
But when Communion is distributed because Mass is unavailable, then, in principle, those who wish to partake should attend the entire rite.
This would be the situation, for example, in parishes with no resident pastor and, usually, in prisons whenever it is possible to gather the inmates so as to form an assembly.
The other is for bringing Communion to those who are unable to attend Mass due to age or infirmity.