The latest unemployment snapshot in Ohio shows a state slowly-but-steadily gaining jobs. New state figures released this morning show a January unemployment rate of 7.7 percent. Thatâs down from 7.9 percent in December. The report says Ohio gained 32,000 jobs in January, with about 11,000 people leaving unemployment rolls. Service-industry industries reportedly gained 25,200 jobs in January. Professional and business services gained 5,300 jobs, financial activities added 2,400 positions, and government employment rolls increased by about 100.