The primary purpose of the ordering service in Hyperledger Fabric is to assemble transactions into blocks and ensure their correct sequencing on the blockchain ledger. This service takes validated transactions, orders them chronologically, and packages them into blocks. These blocks are then distributed to all peers on the network for final validation and commitment to their respective ledgers. This process is crucial for maintaining the integrity and consistency of the ledger across the distributed network. The ordering service does not manage identities or endorse transactions, nor does it validate transactions or directly maintain the blockchain ledger beyond the sequencing and packaging of transactions.