Fewer people bought new homes in December. The decline made 2011 the worst year for new -homes sales on records dating back nearly half a century.

The Commerce Department said Thursday new-home sales fell 2.2 percent last month to a seasonally adjusted annual pace of 307,000. The pace is less than half the 700,000 that economists say must be sold in a healthy economy.

About 302,000 new homes were sold last year. That’s less than the 323,000 sold in 2010, making last …